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Here is the NU table.
Be sure to check the Notes and Obsolete sections at the end.
UNKNOWN!
A(ns,ns) |
? |
B(ns,ns) ? |
|
COVA(NEMX,NRMX) |
used in data/graphics operations? |
EIGV(NOMX,NTMX) |
? |
ER(nv) |
? |
MXI(2,NEMX) |
used for graphics? |
NLCHOR(0:10,NRMX) |
used for BEM problems? |
NPB(1..6,0) |
? |
NPB(1..6,np) |
? |
NTCOVA(NEMX) |
used in data/graphics operations? |
XA(na,nj,nq) |
nodes.global_param_XA |
XF(ns,nj) |
? |
Y |
? |
ZA(na,nh,ne) |
nodes.deform_global_param_ZA |
ZC(nj,ne) |
used in chnode.f, drelem.f, and moelem.f |
ZD2(nj,nd) |
used in write.f calcnods.f |
ZDD(nd,nj) |
data.zdd? |
ZF(ns,nh) |
? |
A |
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ACOEFF(nactv) |
nactv=1,NTACTV are coefficients for linear dynamic terms |
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ALFA(nactv) |
nactv=1,NTACTV are time constants for linear dynamic terms |
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AXL,AXU |
are deformed metric tensor components wrt undeformed Nu-coords (KTYP53>1) or wrt undeformed theta coords (KTYP53=1) in zere50.f. SeeRI1,RI2,RI3. |
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B |
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colloc.bezier_control_pnts |
BCP(4,4,NJMX,NEMX) |
Bezier control points for rendering [collocation] |
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C |
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C(NYMX,1) |
for BEM problems (solve4.f) |
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CC(NYMX,1) |
for BEM problems (solve4.f) |
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CCOMP(NCYMX,NCYMX) |
for BEM problems (solve4.f) |
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prob.const_mat_param |
CE(nm,ne) |
is value of piecewise constant material parameters nm in element ne |
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prob.gauss_mat_param |
CG(nm,ng) |
is value of material parameter nm at Gauss point ng |
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CGA(3,ng,nb) |
accumulated coordinate transformation matrices [collocation] |
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CGB(3,3,ng,nb) |
accumulated coordinate transformation matrices [collocation] |
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colloc.integr_scaling_factor |
CGDA(ng,nb,ne) |
integration scaling factor at the gauss points of basis nb [collocation] |
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colloc.mat_param |
CGMAT(5,ng,nb,ne) |
material parameters [collocation] |
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data.opt_coefs |
COYY(noy,ny) |
coefficient for optimization DOF NOYY(noy,ny) |
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prob.linear_mat_const |
CP(nm,np) |
is value of piecewise linear material constant at node np |
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CSEG(nosg) |
is string defining segment number NOSG as follows: |
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D |
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DATYPE(220) |
character string of data type drawn in graphics window (set in fe24/drdata.f). Is this ever used anywhere? |
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DEL_T |
is the time step used (taken from load stepping loop in FE07) |
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elem.face_area |
DF |
is the logarithmic frequency increment in LPT |
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DF(nf) |
is area of face segment nf |
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nodes.arc_length_deriv |
DL(1..3,nl) |
are arc-length derivatives of line segment nl |
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nodes.old_scaling_factors |
DLL(3,nl) |
holds old scaling factors DL when rescaling nodes (fe21/upnode.f) |
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DRDN(NGMX) |
for BEM problems (solve4.f) |
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DRDNS(NGMX) |
for BEM problems (solve4.f) |
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DXIX |
are partial derivatives of Xi wrt Xj coords (if KTYP53=1) or wrt Nu coords (if KTYP53>1) |
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DZDX |
are components of the deformation gradient tensor |
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E |
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colloc.elem_damping |
ED(nv,nv) |
is element damping matrix (1st order time derivatives) |
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data.diff_XID_ZD |
EDD(nd) |
difference between element point at XID and data point ZD, weighted by WD (see fe03/fitfld.f) |
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EG |
are physical components of Green’s strain |
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march1.elem_mass |
EM(nv,nv) |
is element mass matrix (2nd order time derivatives) |
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fit.er |
ER |
is element right hand side; computed in fe03/zder.f |
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ERRMF |
is solution tolerance (epsilon) for the iterative solver |
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colloc.elem_stiffness |
ES(nv,nv) |
is element stiffness matrix (0th order time derivatives) |
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ESE(nv,nv,ne) |
is element stiffness matrix for element ne (replaces ES when using iterative solver) |
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ETYP(ie) |
ie=1,12 is .TRUE. if element type ie (see TITLE2) used. |
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EV1RE,EV1IM |
are the minimum (EV1*) and maximum (EV2*) Real and Imaginary parts of eigenvalues for the constraint-reduced global system of equations (used in some iterative solvers) |
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EXR |
are extension ratios wrt COORDS |
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F |
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prob.fiber_exten |
FEXT(8,NGMX,NEMX) |
from zgtg5a.f:
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FLOW_COEFFS(no_coeffs) |
no_coeffs=1,nt_coeffs are Fourier coeffs for flow |
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data.dof_data |
FIX(ny,5) |
FIX(ny,1)FIX(ny,2)FIX(ny,3)
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prob.applied_pi |
FIXP(2,ne) |
is TRUE if a pressure incrementPEis applied to either the Xi_3=0 (1) or Xi_3=1 (2) face of element ne |
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G |
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colloc.global_damping |
GD(ny,ny) |
is global damping matrix (1st order time derivatives) |
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colloc.global_stiffness |
GK(ny,ny) |
is global stiffness matrix (0th order time derivatives) |
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GKC(NCYMX,NCYMX) |
for BEM problems (solve4.f) |
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colloc.reduced_stiffness |
GKK(nz) |
is contraint-reduced global stiffness matrix in 1D (vector) form |
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march1.global_mass |
GM(ny,ny) |
is global mass matrix (2nd order time derivatives) |
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GMC(NCYMX,NCYMX) |
for BEM problems (solve4.f) |
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march1.gr1_rhs_vector |
GR1(ny) |
is RHS vector for system of global equations (with constraints) |
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nonlin.gr2_rhs_vector |
GR2(ny) |
is RHS vector for system of global equations (with constraints) (BFGS method) |
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GRC(NCYMX) |
is the vector resulting from BEM domain integrals (fe90/solve4.f) |
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fit.grr_rhs_vector |
GRR(no) |
is RHS vector for system of constraint-reduced global equations |
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GRRC(NCYMX) |
for BEM problems (solve4.f) |
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GXL,GXU |
are undeformed metric tensor components wrt Xi-coords (zere50.f). |
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GZ |
is the determinant of GZL |
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GZL,GZU |
are the covariant & contravariant components |
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H |
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fit.smoothing_matrix |
HK(ny,ny) |
smoothing matrix (KTYP12 > 0) for fitting with smoothing constraints |
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I |
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elem.index_basis_type |
IBT(1,ni,nb) |
is index for basis type nb in Xi direction ni: |
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IBT(2,ni,nb) |
=1 for Lagrange linear |
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elem.index_deriv_order |
IDO(nk,0,nb) |
is index for derivative order: NU partial derivative number to derivative nk (seeNU table) of basis nb |
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IDO(nk,ni,nb) |
is an index for derivative order: 1=zeroth order, 2=first order |
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colloc.extern_face |
IECG(NK,NN,NH,NE) |
“external face” tables to figure out which element parameters are handled by the Galerkin method. [collocation] |
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colloc.global_equa |
IGCG(NYMX) |
vector indicates which global equations are from collocation (=1) and which are from Galerkin conditions (>1). [collocation] |
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elem.index_nodal_pos |
INP(nn,ni,nb) |
gives the index for element node nn in each Xi direction. |
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IOTYPE |
1 = prompt, 2 = read, 3 = write, 4 = read & list |
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ISAXES(iw) |
is segment number of axes |
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ISBASE(nb) |
is segment number of basis function type nb |
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ISCONO(nh,ne) |
is segment number of contour numbers in element ne |
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ISCONT(nh,ne,nocont) |
is segment number of contour nocont of variable nh in element ne |
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ISDANO(iw,ne) |
is segment number of data point numbers |
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ISDAPR(iw,ne) |
is segment number of data point projections |
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ISDATA(iw,nodata) |
is segment number of data points at set nodata |
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ISDATR(iw,ne) |
is segment number of data point trace in element ne |
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ISEG(nosg) |
is 0,1,2 if segment not yet created / created but not visible / created and visible |
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ISELNO(iw,ne) |
is segment number of element numbers |
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ISFACE(iw,nf) |
is segment number of face nf |
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ISFANO(iw,nf) |
is segment number of face numbers |
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ISFIBR(iw,ne,nofibr) |
is segment number of fibres in element ne at set nofibr |
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ISGAUS(iw) |
is segment number of Gauss points |
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ISGRID(iw) |
is segment number of grid |
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ISHIST(0) |
is segment number of time history axes & labels |
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ISHIST(np) |
is segment number of time history at node np |
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ISINCR(iw) |
is segment number of increments |
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ISISOC(iw,noisoc) |
is segment number of isochrones |
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ISL2BE(nl) |
is segment number of Bezier tangent line 1 on nl |
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ISL3BE(nl) |
is segment number of Bezier tangent line 2 on nl |
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ISLINE(iw,noline) |
is segment number of lines at set noline |
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ISLINO(iw) |
is segment number of line numbers |
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ISMAP(nomap) |
is segment number of map |
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ISMATL(iw,ne) |
is segment number of material in element ne |
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ISN2BE(nl) |
is segment number of Bezier control pt 1 on nl |
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ISN3BE(nl) |
is segment number of Bezier control pt 2 on nl |
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ISNONO(iw,np) |
is segment number of node numbers |
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ISREAC(iw) |
is segment number of reactions |
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ISSECT(nosect) |
is segment number of section |
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ISSTRE(ne,nostre) |
is segment number of principal stresses at set nostre |
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ISSTRM(ne,nostrm) |
is segment number of streamline |
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ISSURF(ne) |
is segment number of surface grid in element ne |
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ISVELO(ne,novelo) |
is segment number of velocity field |
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data.i_threshold |
ITHRES(NGMX,NEMX) |
used in threshold modelling activation pattern computations (fe30). Value at Gauss point ng of element ne is…
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ITYP1 |
is 3,4,5 or 9 for use of FE30,FE40,FE50 or FE90 |
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ITYP2 |
is equation type [formerly KTYP1 ? FJV] |
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ITYP3 |
is equation type qualifier [formerly KTYP11 ? FJV] |
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IWKDEF(0) |
is number of open windows |
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IWKDEF(noiw) |
noiw=1,IWKDEF(0) is list of open windows |
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IWKG(iw) |
is 0 for nongraphics window (eg menu) |
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IWKS(iw) |
= 0 workstation (window) iw is not defined (ie, not open) |
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IWKT(iw) |
= 1 for GKS workstation |
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IWRIT1 |
controls output printing frequency. |
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IWRIT2 |
is 1,2 for equilibrium solution only / intermediate solutions also |
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IWRIT3 |
is 1,2 for solution vectors only / residual vectors also |
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IWRIT4 |
is 0..4 for output from linear / nonlinear solver: |
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IWRIT5 |
is 0..5 for output from iterative solver: |
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J |
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data.elem_def |
JTYP1 |
is 1,2 for elements defined by user / chosen from menu |
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data.ens_elem_map |
JTYP2 |
is 0,1 for ensemble-to-element map for nodal derivatives is standard / non-standard |
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data.coor_sys |
JTYP3 |
is 1..5 for coordinate system: rect. cartesian / cylindrical polar / spherical polar / prolate spheroidal / oblate spheroidal |
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data.sym_type |
JTYP4 |
is 1..3 for geometry unsymmetric / cyl. symm. / sph. symm.
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data.basis_rep |
JTYP5 |
is 1,2 for basis functions in Lagrange or Hermite / monomial format |
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data.coor_const |
JTYP6 |
is 1,2 for global coordinate system constant / specified by elements |
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data.deformed_coor_sys |
JTYP7 |
is 1..5 for dependent variable coordinate system rect. cartesian / cylindrical polar / spherical polar / prolate spheroidal / oblate spheroidal |
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data.basis_output |
JTYP8 |
is 0,1 for no output / output of basis functions |
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data.fiber_field_type |
JTYP9 |
is 0,1,2 for fiber direction field not defined / defined / sheet direction field defined |
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data.isochoric_interp |
JTYP10 |
is 1,2,3 for type of ‘radial’ interpolation (JTYP3>1 only) |
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data.num_of_field_vars |
JTYP11 |
is the number of additional geometric / field variables |
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data.fiber_ref_axis |
JTYP12 |
is 1,2 for fibres defined wrt Xi1 or Xi2 coordinates |
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data.fiber_ang_units |
JTYP13 |
is 1,2 for fibers entered in degrees / radians |
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data.special_mesh_type |
JTYP14 |
is mesh type for specialized meshes as follows: 1 & 2) Fractal tree with branch parameters: |
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data.extern_stim |
JTYP15 |
0,1 : external stimulus not defined/defined (collocation only) |
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elem.num_of_mFHN_params |
JTYP16 |
number of material parameters for (m)FHN equations (collocation only) |
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data.scalar_field |
JTYP17 |
0,1 : scalar field (e.g. consistent strains) not defined/defined (collocation only) |
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K |
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data.prob_type |
KTYP1 |
is 1..15 for problem type [or ITYP2 ? — FJV]
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data.FE_method |
KTYP2 |
is 1..5 for Galerkin finite elements / direct boundary elements / indirect boundary elements / orthogonal collocation / finite element collocation (formerly arrayITYP4) |
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data.time_domain_type |
KTYP3 |
is 1..5 for static / time integration / modal analysis / Fourier analysis / buckling analysis (formerly arrayITYP5) |
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data.prob_linear |
KTYP4 |
is 1..2 for linear / nonlinear problem (formerly arrayITYP6) |
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data.init_state |
KTYP5 |
is 1..3 for initial solution zero / read in / restarted |
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data.gauss_pnt_fit |
KTYP6 |
is 1 for Gauss point fitting; is number of boundary integral equation domains |
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data.equa_params |
KTYP7 |
is 1..3 for equation parameters constant wrt time / user defined in subroutine USER / read from file IPC at each time step |
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data.fitting_type |
KTYP8 |
is 1..5 for geometry / fibre or field / motion / optical flow / Fourier motion fitting |
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data.nonli_solver |
KTYP9 |
is 1..4 for full Newton / modified Newton / BFGS inverse / element-by-element method |
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data.line_search |
KTYP10 |
is 1..2 for solution with no search / linear search |
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data.opt_prob |
KTYP11 |
is 1..5 for additional options on problem type [or ITYP3 ? — FJV]
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data.constraint_type |
KTYP12 |
is 0..3 for fitting without / with constraints: |
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data.ode_sovler_type |
KTYP13 |
is 1 if pressure read from file (PRESS.VSAERO) |
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data.inc_params |
KTYP14 |
is > 0 if material parameter is incremented |
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KTYP15 |
is equation type parameter |
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KTYP16 |
is 1..2 for lowest / highest eigenvalues required |
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KTYP17 |
is number of eigenvalue pairs required |
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KTYP18 |
is number of subspace iteration vectors |
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KTYP19 |
is number of starting vectors |
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KTYP22 |
is 1..3 for time integration algorithm linear / quadratic / cubic |
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KTYP23 |
is fixed time step / automatic stepping / read from file |
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KTYP25 |
is type of driving function in Fourier analysis 1..3 for impulse / step / sine wave |
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KTYP26 |
is 1..2 for optimization of material params / geometric params |
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KTYP27 |
is 1..9 for type of minimization objective function |
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KTYP28 |
is number of sets of measurements in fit |
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KTYP31 |
is 1..2 for Cardaic activation model implemented forwards / backwards |
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KTYP43 |
is 0..3 for thermal strains not included / included as fixed initial strain / constrained by displacement b.c.s / fully coupled |
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KTYP45 |
is 1..4 for type of beam cross-section |
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data.elast_prob |
KTYP51 |
is 1..6 for plain stress / plain strain / 3D / membrane/ thin shell / thick shell |
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data.compressibility |
KTYP52 |
is 1..3 for compressible / incompressible / incomp with fluid perfusate |
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data.anisotropy |
KTYP53 |
is 1..3 for isotropic / aeleotropic / aeleotropic + active fibres |
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data.hyperelasticity |
KTYP54 |
is 1..3 for hyperelastic / Cauchy-elasticity / creep |
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data.kinematic_params |
KTYP55 |
is 1..3 for princ. strain invariants / extension ratios / fibre strains |
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data.energy_function_form |
KTYP56 |
is 1..3 for polynomial / special function / exponential strain energy function |
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data.press_bc_type |
KTYP57 |
is no pressure bc / press.incr / press.read / volume incr / vol.computed |
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data.isochoric |
KTYP58 |
is 1,2 for conventional / isochoric element |
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data.active_stress_terms |
KTYP59 |
is number of terms in active fibre stress relation |
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data.SL_parameter |
KTYP5A |
is material parameter number of stress-free SL distribution |
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data.time_delay_param |
KTYP5B |
is material parameter number of time-delay variable |
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data.Vcf_param |
KTYP5C |
is material parameter number of capillary volume fraction |
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KTYP5D |
is unused |
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KTYP71 |
is 1 if pressure loads read from file PRESS.VSAERO (ID=14) after flow solution by VSAERO |
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KTYP90 |
is saturated-unsaturated / heart-body/ ? coupling |
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L |
||||||||||||||||||||||||||
data.associated_data_point |
LD(nd) |
line or face l number associated with data point nd |
||||||||||||||||||||||||
LDR(nd) |
is unused and should be removed |
|||||||||||||||||||||||||
LFR(no) |
is unused and should be removed |
|||||||||||||||||||||||||
prob.elem_location |
LGE(nv) |
is location of element variable nv in global system. LGE(nv) is negative if NE is the last element to reference that variable. |
||||||||||||||||||||||||
LGEE(nv,ne) |
is location of element variable nv in global system for element ne (replaces LGE when using iterative solver) |
|||||||||||||||||||||||||
data.fitting_elem |
LN(0) |
number of elements in fitting |
||||||||||||||||||||||||
LN(l) |
element number for l=1..LN(0) |
|||||||||||||||||||||||||
prob.boundary_region_var |
LRE(nv) |
is for the shell/fluid interface case. It is the boundary region variable LRE of the local finite element variable NVE. (fe02/melge.f). This may be unused. |
||||||||||||||||||||||||
LUMP |
is .TRUE. if mass lumping is used |
|||||||||||||||||||||||||
M |
||||||||||||||||||||||||||
prob.last_influenced_elem |
ME(np) |
is the last element to be influenced by global node NP. WHERE IS THIS SET??? |
||||||||||||||||||||||||
MOTION_TYPE |
is 1,2 for Fourier coeffs / Spreadsheet column |
|||||||||||||||||||||||||
N |
||||||||||||||||||||||||||
NA |
auxiliary element variable (na=1,NAT(nb)) |
|||||||||||||||||||||||||
dims.num_aux_var |
NAMX |
is maximum number of auxiliary parameters |
||||||||||||||||||||||||
elem.poly_degree |
NAN(ni,na,nb) |
is polynomial degree in Xi(ni) direction for basis nb for auxiliary variable na |
||||||||||||||||||||||||
NAT(nb) |
is number of auxiliary or spline basis functions |
|||||||||||||||||||||||||
NB |
basis function type (nb=1,NBT) |
|||||||||||||||||||||||||
NBC(nb) |
is basis function type choice |
|||||||||||||||||||||||||
elem.basis_num |
NBH(nh,ne) |
is basis number for dependent variable nh in element ne |
||||||||||||||||||||||||
NBI(nb) |
is 1..5 for unit scale factors / elem scale factors read in / global scale factors read in / arc-length / angle-change |
|||||||||||||||||||||||||
elem.basis_type_num |
NBJ(nj,ne) |
is basis function type number for geometric variable nj in element ne |
||||||||||||||||||||||||
NBL(0,0,nb) |
is number of boundary line / face segments for blending functions |
|||||||||||||||||||||||||
NBL(0,ls,nb) |
is nb number of boundary line / face segment ls |
|||||||||||||||||||||||||
NBL(1..4,ls,nb) |
are element node numbers of line / face ls (used for blending function interpolants) |
|||||||||||||||||||||||||
colloc.num_basis |
NBMX |
maximum number of basis functions |
||||||||||||||||||||||||
NBT |
number of basis function types |
|||||||||||||||||||||||||
NB_MOTION |
Fourier basis number |
|||||||||||||||||||||||||
data.data_in_elem |
NCMX |
maximum number of equations for a given dependent var (the old meaning of NCMX was the max number of data points in an element) |
||||||||||||||||||||||||
elem.coor_type |
NCO(ne) |
is the coordinate type used in element ne |
||||||||||||||||||||||||
dims.BE_array_size |
NCYMX |
maximum size of complex arrays (for BEM problems) |
||||||||||||||||||||||||
ND |
data point (nd=1,NDT) |
|||||||||||||||||||||||||
NDAL(0:nde) |
is unused and should be removed |
|||||||||||||||||||||||||
data.global_data_pts |
NDDL(ne,nde) |
global data pt no. of local data point nde |
||||||||||||||||||||||||
NDEMX |
number of data points in one element |
|||||||||||||||||||||||||
data.num_of_data_pts |
NDLT(ne) |
number of data points within element ne |
||||||||||||||||||||||||
data.data_points |
NDMX |
number of data points total |
||||||||||||||||||||||||
data.data_pts_index |
NDP(NDMX) |
index of data points that project onto an element |
||||||||||||||||||||||||
NDT |
is total number of data points |
|||||||||||||||||||||||||
NE |
an element (ne=1,NET) |
|||||||||||||||||||||||||
nodes.shared_corner |
NECOR(NPMX,0:4) |
stores the number of elements which share the current corner or edge node NP. NECOR(NP,0) is the total number of elements sharing the corner node (BEM problems, fe90/solve4.f) |
||||||||||||||||||||||||
NEELEM(0) |
total number of elements. |
|||||||||||||||||||||||||
NEELEM(noelem) |
noelem=1..NEELEM(0) are the element numbers. |
|||||||||||||||||||||||||
colloc.elements |
NEMX |
maximum number of elements |
||||||||||||||||||||||||
NEIBS(NI,IN,NE) |
Element neighbors of NE on INth face in NIth direction [collocation] |
|||||||||||||||||||||||||
colloc.local_node |
NEP(1,IN,np) |
the INth local node number coincident with global node np [collocation] |
||||||||||||||||||||||||
NEP(2,IN,np) |
the element the INth local node belongs to. [collocation] |
|||||||||||||||||||||||||
NET |
is the highest element number |
|||||||||||||||||||||||||
NF |
global face (nf=1,NFT) |
|||||||||||||||||||||||||
NFE(nb) |
number of faces for element basis type nb. |
|||||||||||||||||||||||||
elem.global_face_num |
NFF(nf,ne) |
are the global face numbers of side nf of element ne |
||||||||||||||||||||||||
dims.global_face_seg |
NFMX |
maximum number of global face segments |
||||||||||||||||||||||||
NFT |
total number global element faces |
|||||||||||||||||||||||||
NG |
Gaussian quadrature point (ng=1,NGT(nb)) |
|||||||||||||||||||||||||
elem.num_gauss_pts |
NGAP(ni,nb) |
is number of Gauss points in Xi direction ni for basis nb |
||||||||||||||||||||||||
colloc.gaus_per_elem |
NGMX |
maximum number Gauss points per element |
||||||||||||||||||||||||
NGT(nb) |
number of Gauss points per element |
|||||||||||||||||||||||||
NH |
dependent variable (nh=1,NHP(np)) |
|||||||||||||||||||||||||
elem.num_dep_var_elem |
NHE(ne) |
number of dependent variables defined in element ne |
||||||||||||||||||||||||
colloc.depen_var |
NHMX |
maximum number of dependent variablesNote:NHMX must be equal to NJMX for problems where the dependent variable array carries deformed coordinates. |
||||||||||||||||||||||||
NHO |
is Gauss variable to be fitted in Gauss point fitting |
|||||||||||||||||||||||||
nodes.num_dep_var_node |
NHP(np) |
is number of dependent variables defined at node np |
||||||||||||||||||||||||
NHT(nje,nve,ie) |
is number of global variables required for element type ie when number of local variables is nve & number of dimensions nje.
|
|||||||||||||||||||||||||
NHV(nv,ie) |
is global variable number, 1 .. NHE(ne), corresponding to dependent variable nv in element type ie. |
|||||||||||||||||||||||||
NI |
Xi-coordinate (ni=1,NIT(nb)) |
|||||||||||||||||||||||||
colloc.local_xi |
NIMX |
maximum number of local Xi-coordinates |
||||||||||||||||||||||||
NIT(nb) |
is number of local Xi-coordinates for basis nb |
|||||||||||||||||||||||||
NJ |
Xj-coordinate (nj=1,NJT) |
|||||||||||||||||||||||||
elem.num_xj_coor_in_elem |
NJE(ne) |
number of Xj-coords defined in element ne (excluding JTYP9) |
||||||||||||||||||||||||
NJG |
is geometric variable number in linear field fitting. |
|||||||||||||||||||||||||
colloc.global_ref_coor |
NJMX |
maximum number of global reference coordinates |
||||||||||||||||||||||||
NJO |
is field variable number in linear field fitting (eg =NJT+1). |
|||||||||||||||||||||||||
nodes.num_xj_coor |
NJP(np) |
is number of Xj-coordinates (ie, geometric variables) defined at node np |
||||||||||||||||||||||||
NK |
derivative number (nk=1,NKT(nb)) |
|||||||||||||||||||||||||
nodes.nodal_derv_dep_var |
NKH(nh,np) |
is number of nodal derivatives for dependent variable nh at node np (also called nodal_derv_dep_var in some places) |
||||||||||||||||||||||||
nodes.nodal_derv_geom_var |
NKJ(nj,np) |
is number of nodal derivatives for geometric variable nj at node np |
||||||||||||||||||||||||
colloc.deriv_per_var |
NKMX |
maximum number of derivatives per variable |
||||||||||||||||||||||||
elem.nodal_spline_term |
NKT(nb) |
is number of nodal derivatives or spline polynomial terms for basis nb |
||||||||||||||||||||||||
NL |
global line (nl=1,NLT) |
|||||||||||||||||||||||||
NLE(nb) |
is number of element line segments for basis nb |
|||||||||||||||||||||||||
elem.line_num_of_arcface |
NLF(naf,nf) |
are global line numbers of local arc naf of face nf |
||||||||||||||||||||||||
elem.line_num_of_arcelem |
NLL(nae,ne) |
are global line numbers of local arc nae of element ne |
||||||||||||||||||||||||
dims.global_line_seg |
NLMX |
maximum number of global line segments |
||||||||||||||||||||||||
NLT |
total global line segments |
|||||||||||||||||||||||||
NLV(ie,njt) |
is number of local variables possible in element type ie. |
|||||||||||||||||||||||||
NM |
material parameter (nm=1,NMT) |
|||||||||||||||||||||||||
dims.materials |
NMMX |
maximum number of material parameters |
||||||||||||||||||||||||
NMOPTI(noopti) |
noopti=NMOPTI(0)+1,NTOPTI is list of displacements in fit |
|||||||||||||||||||||||||
NN |
element node (nn=1,NNT(nb)) |
|||||||||||||||||||||||||
elem.num_of_elem_nodes_in_face |
NNF(0,nf,nb) |
is number of element nodes in face NF of element with basis NB |
||||||||||||||||||||||||
NNF(1 ,nf,nb) |
is Xi-direction normal to face |
|||||||||||||||||||||||||
NNF(11.14,nf,nb) |
are element derivative numbers in face |
|||||||||||||||||||||||||
NNF(2..10,nf,nb) |
are the element node numbers in face |
|||||||||||||||||||||||||
elem.elemnode_face_num |
NNL(1..4,nae,nb) |
are the element / face node numbers along local arc nae |
||||||||||||||||||||||||
colloc.nodes_pre_elem |
NNMX |
maximum number of nodes per element |
||||||||||||||||||||||||
colloc.coincident_nodes |
NNP(np) |
the number of element nodes coincident with global node np [collocation] |
||||||||||||||||||||||||
elem.elem_nodes |
NNT(nb) |
is number of element nodes for basis nb |
||||||||||||||||||||||||
NO |
a d.o.f in the set of global equations (no=1,NOT) |
|||||||||||||||||||||||||
data.dof |
NOMX |
maximum number of optimization DOFs. |
||||||||||||||||||||||||
NORMX |
maximum number of size of fractal tree order arrays |
|||||||||||||||||||||||||
NOT |
total number of optimization DOFs |
|||||||||||||||||||||||||
data.mesh_opt_dof |
NOYMX |
maximum number of optimization DOFs attached to one mesh DOF |
||||||||||||||||||||||||
data.num_of_optimization_dof |
NOYT(ny) |
number of optimization DOFs coupled to mesh variable ny |
||||||||||||||||||||||||
data.optimization_dof_num |
NOYY(noy,ny) |
optimization DOF number of variable noy for mesh variable ny |
||||||||||||||||||||||||
NP |
global node (np=1,NPT) |
|||||||||||||||||||||||||
NPCOR(0:NPMX,2) |
NPCOR(i,1)=0 if node i is not on a corner =column number of GM matrix for second dH/dn contribution if node i is at some corner or edge (3D) (the column number corresponds to the contribution from the element at the corner with the higher element number if it is a 2d corner or 3d edge, otherwise it corresponds to the middle corner element number). |
|||||||||||||||||||||||||
dims.domain_nodes |
NPDMX |
maximum number of domain nodes for BEM problems |
||||||||||||||||||||||||
nodes.global_node_num |
NPE(nn,nb,ne) |
is global node number of local node nn of element ne for basis nb |
||||||||||||||||||||||||
NPE(nn,nb,nf) |
are global node numbers of face nf, where nb is basis type number for first geometric variable. |
|||||||||||||||||||||||||
nodes.nodal_basis_type |
NPF(1,nf) |
is the 1st Xi-direction of face segment NF |
||||||||||||||||||||||||
NPF(2,nf) |
is the basis fn type for 1st Xi-dir (1,2,3 or 4) |
|||||||||||||||||||||||||
NPF(3,nf) |
is the 2nd Xi-direction |
|||||||||||||||||||||||||
NPF(4,nf) |
is the basis function type for 2nd Xi-dir |
|||||||||||||||||||||||||
NPF(5..8,nf) |
are the basis function type (nb) numbers for nj=1..4 |
|||||||||||||||||||||||||
NPF(9,nf) |
is number of elements adjoining face (1,2 for external / internal) |
|||||||||||||||||||||||||
nodes.connect |
NPL(1,nl) |
is the Xi-direction of line segment NL |
||||||||||||||||||||||||
NPL(2..5,nl) |
are the basis function types for nj=1..4 : |
|||||||||||||||||||||||||
NPL(6..9,nl) |
are the global nodes along line NL in the direction of Xi (8 & 9 are NK numbers of 1st derivatives wrt Xi for any geometric variable which is cubic Hermite) |
|||||||||||||||||||||||||
NPL(10,nl) |
is the number of elements adjoining line NL |
|||||||||||||||||||||||||
NPL(11..18,nl) |
are the element numbers of elements adjoining line NL |
|||||||||||||||||||||||||
colloc.global_nodes |
NPMX |
maximum number of global nodes |
||||||||||||||||||||||||
NPNODE(0) |
is the total number of nodes. |
|||||||||||||||||||||||||
NPNODE(nonode) |
nonode=1..NPNODE(0) are the node numbers. |
|||||||||||||||||||||||||
data.global_node_fitting |
NPO(0) |
number of global nodes in data fitting |
||||||||||||||||||||||||
NPO(np) |
global node number corresponding to n=1..NPO(0) |
|||||||||||||||||||||||||
NPT |
is the highest node number. |
|||||||||||||||||||||||||
NP_MOTION |
is node number for applying motion |
|||||||||||||||||||||||||
NQ |
a general DOF (nq=1,NQT) |
|||||||||||||||||||||||||
nodes.global_DOF_num |
NQE(ns,nb,ne) |
is global DOF number of local DOF ns in element ne for basis nb. |
||||||||||||||||||||||||
dims.global_dof |
NQMX |
maximum number of global DOFs |
||||||||||||||||||||||||
NQT |
total number of global DOFs / geometric variables in XA |
|||||||||||||||||||||||||
dims.contours_per_elem |
NRMX |
maximum number of contours per element & various segs |
||||||||||||||||||||||||
NS |
ns=nk+(nn-1)*NKT(nb) |
|||||||||||||||||||||||||
colloc.elem_dof |
NSMX |
maximum number of element DOFs per variable ( <= NNMX*NKMX ) |
||||||||||||||||||||||||
NST(nb) |
total number of element parameters for basis nb [ =NKT(nb)*NNT(nb)+NAT(nb) ] |
|||||||||||||||||||||||||
NTACTV |
is number of dynamic terms in the material response function |
|||||||||||||||||||||||||
dims.eigenvalues |
NTMX |
maximum number of eigenvalues |
||||||||||||||||||||||||
NTSG |
is current number of segments |
|||||||||||||||||||||||||
NTYP1 |
is 1..16 for type of iterative solver: |
|||||||||||||||||||||||||
NTYP2 |
is the number of Krylov subspace basis vectors (used for NTYP1 = 4, 6, 7, or 8)NOTE:max is 250 for RGMRES & RGMRESEV. |
|||||||||||||||||||||||||
NTYP3 |
is the stopping criterion for the iterative solver |
|||||||||||||||||||||||||
NTYP4 |
is the maximum number of iterative solver restarts or iterations |
|||||||||||||||||||||||||
NTYP5 |
is the type of preconditioning for the iterative solver: |
|||||||||||||||||||||||||
colloc.deriv_terms |
NUMX |
maximum number of derivative terms up to 2nd order |
||||||||||||||||||||||||
NU |
is index of Xi-coordinate derivative
e.g.: u1 = partial(u)/partial(Xi_1) |
|||||||||||||||||||||||||
NUT(nb) |
is number of Xi-coordinate derivatives up to 2nd order for basis nb |
|||||||||||||||||||||||||
NVE(ie) |
is number of local variables used in element type ie |
|||||||||||||||||||||||||
colloc.total_elem_dof |
NVMX |
maximum number of element DOFs ( = NHMX*NSMX ) |
||||||||||||||||||||||||
elem.type_num |
NW(ne) |
is the type number (= 1,2..12) for element ne. |
||||||||||||||||||||||||
dims.workstations |
NWMX |
maximum number of workstations for segment arrays (e.g. ISAXES, ISFIBR…) |
||||||||||||||||||||||||
elem.elem_adjacency |
NXI(-ni:ni,0:ne) |
Filled in fe02/nenxi.f. Element number adjacent to element ne: |
||||||||||||||||||||||||
dims.image_cell |
NXMX |
maximum number of image cell array dimension (ASSERTed in deimag.f) |
||||||||||||||||||||||||
NY |
a finite element mesh DOF (ny=1,NYT) |
|||||||||||||||||||||||||
colloc.mesh_dof |
NYMX |
maximum number of mesh DOFs. |
||||||||||||||||||||||||
prob.ny_ne_mapping |
NYNE(na,nh,ne) |
is mapping from na,nh,ne to ny (set in ipini5.f) |
||||||||||||||||||||||||
prob.ny_np_mapping |
NYNP(nk,nh,np) |
is mapping from nk,nh,np to ny (set in ipini5.f) |
||||||||||||||||||||||||
NYT |
total finite element mesh DOFs (initialized in ipini5.f) |
|||||||||||||||||||||||||
NZ |
a stiffness matrix component in a 1D vector (nz=1,NZT) |
|||||||||||||||||||||||||
colloc.stiffness_vector |
NZMX |
maximum number of coefficients in 1D global stiffness vector GKK. |
||||||||||||||||||||||||
NZT |
total number of nonzero coefficients in 1D global stiffness vector GKK. |
|||||||||||||||||||||||||
O |
||||||||||||||||||||||||||
P |
||||||||||||||||||||||||||
prob.pressure_incr |
PE(1..2,ne) |
the pressure increment applied to the Xi_3=0 face (1) or Xi_3=1 face (2) of element ne |
||||||||||||||||||||||||
prob.pressure_load |
PF(1..2,ne) |
the pressure load applied to the Xi_3=0 face (1) or Xi_3=1 face(2) of element ne |
||||||||||||||||||||||||
PG(ns,nu,ng,nb) |
are basis function values for element DOF ns at Gauss point ng, basis number nb. Set in fe02/gauss1.f when bases are defined. |
|||||||||||||||||||||||||
PGF(ns,nu,ng,nf,nb) |
basis function values (as in PG) on face nf. [collocation] |
|||||||||||||||||||||||||
PHI |
are the Euler angles wrt COORDS of the principal extensions |
|||||||||||||||||||||||||
PMAX(noopti) |
maximum parameter values allowed |
|||||||||||||||||||||||||
PMIN(noopti) |
minimum parameters value allowed |
|||||||||||||||||||||||||
PROMPT |
is .TRUE. if computations await prompt after IWRIT1 steps. |
|||||||||||||||||||||||||
PST |
are principal strains / stresses |
|||||||||||||||||||||||||
Q |
||||||||||||||||||||||||||
R |
||||||||||||||||||||||||||
R |
is the orthogonal rotation tensor |
|||||||||||||||||||||||||
RAD(NGMX) |
for BEM problems (solve4.f) |
|||||||||||||||||||||||||
RADS(NGMX) |
for BEM problems (solve4.f) |
|||||||||||||||||||||||||
prob.elem_resid_1 |
RE1(ns,nh) |
element residual array |
||||||||||||||||||||||||
prob.elem_resid_2 |
RE2(ns,nh) |
element residual array |
||||||||||||||||||||||||
elem.jacobian |
RG(ng) |
is the Jacobian for a length, area, or volume integral (computed as RG and RGX in fe02/xgmg.f) |
||||||||||||||||||||||||
RGS(NGMX) |
for BEM problems (solve4.f) |
|||||||||||||||||||||||||
RHO(NNMX,NJMX,2*NNMX) |
are the (rho,phi) coordinates of a 2D boundary element which has been subdivided with a local polar coordinate system. NNMIN is set up in solve4.f and is the local node at which the origin of the local polar coordinate scheme is located. BEM |
|||||||||||||||||||||||||
RI1,RI2,RI3 |
are principal invariants of AZL |
|||||||||||||||||||||||||
RM |
is the modal matrix whose columns are the eigenvectors assoc with PST |
|||||||||||||||||||||||||
prob.global_resid_vector |
RP1(ny) |
global residual vector |
||||||||||||||||||||||||
RWG(ng) |
is the square root of the determinant of the undeformed metric tensor multiplied by the quadratrure weight at gauss point ng (this variable isRGXin fe50/zeex50.f) |
|||||||||||||||||||||||||
S |
||||||||||||||||||||||||||
data.dof_opti_scale |
SCALE(no) |
scale associated with optimization DOF no for geometric fitting (see fe03/ipfit.f and fitgeo.f). Currently unused and should be removed. |
||||||||||||||||||||||||
elem.scale_factor |
SE(ns,nb,ne) |
are scaling factors for basis nb of element ne. Arc-length scale factors are set in fe02/lincal.f and fe02/dlse.f; face scaling factors are set in fe02/facseg.f |
||||||||||||||||||||||||
SNLPA |
is static nonlinearity parameter “a” |
|||||||||||||||||||||||||
data.squared_dist |
SQ(nd) |
square of distance from mesh to data point nd |
||||||||||||||||||||||||
SS |
total sum of squared distances SQ(nd) |
|||||||||||||||||||||||||
T |
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TC |
are physical components of Cauchy stress |
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TG |
are tensor components of 2nd Piola-Kirchhoff stresses |
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data.threshold |
THRES(3,ng,ne) |
used in threshold modelling activation pattern computations (fe30). Value at Gauss point ng of element ne is…
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TN |
are physical components of Nominal stresses |
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TV_SLO |
is slope of the force / velocity relation in stretching (before yield) |
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U |
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U |
is the right stretch tensor |
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V |
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elem.b_spline |
VE(ns,nk,ne) |
are B-spline polynomial coefficients for each DOF ns of element ne |
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W |
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data.weighting_factor |
WD(nj,nd) |
weighting factor for data point nd (this is gamma in Hashima et.al. 1993) |
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fit.line_waiting_factor |
WDL(nj,nde) |
weighting factor for line data point nde |
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elem.gaus_weight |
WG(ng,nb) |
are Gauss point weights at Gauss point ng for basis number nb |
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WGF(ng,nf,nb) |
gaussian integration weights (as in WG) on face nf. [collocation] |
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WS(5*NYMX) |
is unused and should be removed |
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data.Sobolev_smoothing_weights |
WU(nu,ne) |
Sobolev smoothing weights for DOF nu (these are alpha & beta in Hashima et.al. 1993) |
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X |
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XB(1..2,NJMX,NLMX) |
is first/second Bezier slope control point for line NL (fe21/crherm.f) |
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elem.xj_geom_pos_XE |
XE(ns,nj) |
is Xj geometric position or derivative for element DOF ns, coordinate nj |
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XD(NKMX,NPDMX) |
for BEM problems (solve4.f) |
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XDC(NKMX,NPDMX) |
for BEM problems (solve4.f) |
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elem.xj_geom_pos_XG |
XG |
are undeformed theta coords and derivatives wrt Xi |
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XG(nj,nu) |
is Xj geometric position (nu=1) or derivative (nu>1) for coord nj within an element |
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XG1(NJMX,NUMX,NGMX) |
for BEM problems (solve4.f) |
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XGS(NJMX,NUMX,NGMX) |
for BEM problems (solve4.f) |
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data.xi_coor_data |
XID(ni,nd) |
Xi-coordinate of data point nd |
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fit.xi_of_line |
XIDL(ni,nde) |
Xi-coordinate of line data point nde |
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XIDR(ni,nd) |
is unused and should be removed |
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elem.xi_gaus |
XIG(ni,ng,nb) |
is Xi-coordinate (ni) at Gauss point ng for basis nb |
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XIGF(ni,ng,nf,nb) |
gauss point locations (as in XIG) on face nf. [collocation] |
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XMGF(nfg,ng,njmat) |
Material parameter njmat evaluated at gauss point ng of face nfg [collocation] |
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XN(NJMX,NGMX) |
for BEM problems (solve4.f) |
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XNS(NJMX,NGMX) |
for BEM problems (solve4.f) |
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data.opti_var |
XO(no) |
optimization variable |
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XOC(NCYMX) |
for BEM problems (solve4.f) |
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nodes.global_param_XP |
XP(nk,nj,np) |
is Xj geometric position (nk=1) or derivative (nk>1) for coordinate nj at global node np |
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XPD(NKMX,NJMX,NPDMX) |
for BEM problems (solve4.f) |
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Y |
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YD(NKMX) |
calculated BEM solution at the point XPFP (fe90/domsol.f) |
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YDC(NKMX) |
calculated BEM solution at the point XPFP (fe90/domsol.f) |
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YIELDR |
is ratio of yield tension to isometric tension |
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data.data_at_guass |
YG(ng,nj,ne) |
is data defined at Gauss point ng (used in fe03/yger.f and fe03/fitgau.f)
– or – |
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nodes.mesh_DOF |
YP(ny,1..16) |
is value of mesh DOF ny
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Z |
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data.rect_cart_coord_data |
ZD(nj,nd) |
rectangular cartesian coords of data point nd |
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data.rect_cart_coord |
ZDL(nj,nde) |
rectangular cartesian coords of line data point nde |
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data.deformed_param_array |
ZE(ns,nh) |
local deformed element parameter array [FJV 9 April 1996] |
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ZEC(ns,nh) |
used for BEM problems. This is currently unused and should be removed. |
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ZFC(ns,nh) |
used for BEM problems. This is currently unused and should be removed. |
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data.deformed_theta_coor |
ZG(nh,nu) |
are deformed theta coordinates and derivatives wrt undeformed coordinates (computed in fe02/zezg.f):
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ZK |
is unused and should be removed |
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nodes.deform_global_param_ZP |
ZP(nk,nh,np) |
global deformed element parameter array [FJV 9 April 1996] |
Notes
- Material Nu-coordinates (reference for stresses): are orthogonal and (Nu1,Nu2) lie in the (Xi1-Xi2) plane such that Nu(1) is aligned with the `fibres’ to which material aeolotropy is referred; The undeformed base vectors are defined such that the undeformed metric tensors wrt the Nu are delta(i,j).
-
The fibre coord Nu(1) lies in the Xi1-Xi2 plane Nu(2) is orthog to the fibre coord & lies in the Xi1-Xi2 plane & the remaining Nu coord is orthog to this plane. The fibre angle eta is eta(1), the angle between the fibre coord & the Xi1 coord. The Nu coords are stress coords & are orthonormal with metric a(i,j)=Kronecker delta.
- KTYP26 = 3 KTYP27 = 1 is used for stripe intersection calculation.
-
If KTYP57>1 a pressure b.c. is applied to the Xi(3)=0,1 faces of elements with NW(ne)=2,3, respectively, or both if NW(ne)=4.
- NHMX must be equal to NJMX for problems where the dependent variable array carries deformed coordinates.
-
NZMX must be > NOMX2 and NYMX2 for some problems and large enough to take the fill-in during sparse matrix solution in others.
- If JTYP2=1 NQE stores the global NK number of local DOFs ns for element ne.
For cylindrical symmetry (JTYP4=2):
if JTYP3=1
radius is nj=2 coord.
if JTYP3=2,3
radius is nj=1 coord.
if JTYP3=4
radius=focus*sinhX1*sinX2
- Dependent and Geometric Variables counterparts
Dep Var Fortran Name
Dep Var Python Name
Geometric Var Fortran Name
Geom Var Python Name
nh
nj
zp
xp
ze
xe
zg
xg
nbh
elem.basis_num
nbj
elem.basis_type_num
nhe
nje
nhp
njp
nht
njt
nkh
nkj
Obsolete
GB(no) |
is RHS vector for system of reduced global equations |
GS(nz) |
is reduced global solution matrix in 1D form |
INDEX_PLIN |
is the index for a particular polyline. |
INDEX_PLIN_TYPE(index_plin) |
indicates the type (piecewise linear / Bezier). |
ITYP4 |
is Galerkin FEM / Direct bem / Indirect bem / Orthogonal collocation (replaced by KTYP2) |
ITYP5 |
is static / time integration / modal / Fourier / Laplace / buckling (replaced by KTYP3) |
ITYP6 |
is linear / nonlinear problem (replaced by KTYP4) |
LXI( 0,nl) |
replaced by NXI |
NCNP(nh,np) |
is the mapping between nc and nh, and np which is set up in IPEQUA or DEEQUA and possibly modified in DECORN. |
NKE(nk,nb,ne) |
is global derivative number of local derivative nk of element ne for basis nb |
NO_BRANCH_PATTERN(no_gen,inumber_of_branches) |
is number of elements which have inumber_of_branches at generation no_gen. |
NT_PLIN |
is the total number of polylines. |
NT_PLIN_SECTIONS(index_plin) |
is the no of sections to the polyline. |
PLIN_DATA(nj,no_point,index_plin) |
are the coordinates of each point of the polyline. |
RP2(ny) |
formerly passed to GENSOL, now unused. |
YNP(nk,nh,nc,np,0) |
is the global mapping between nk,nh,nc,np and ny or use in coupled problems (yet to be set up). |