Convert a 1-D Cubic Hermite Mesh into a 2-D Mesh


  • In this example, you start by making a circular 1-D mesh using four cubic Hermite elements. Then the four 1-D elements are converted to one 2-D bi-cubic Hermite element, which is then converted to a cubic-linear element.
  • The nodal coordinates and element connectivities are read from tab-delimited spreadsheets.

Start Continuity

  • Launch the Continuity Client
  • On the About Continuity startup screen

    • leave the mesh checkbox checked under Use Modules:

  • Click OK to bring up the main window

Create circular mesh with four 1-D cubic Hermite elements

Convert to one cubic-cubic Hermite 2-D circular element

Now we’ll take the 4 1D cubic elements and turn them into the edges of a 2-D cubic-cubic hermite element.

  • Mesh→Edit→Elements…

    • For elements 2,3 and 4, select each element then click the Delete Element button below to remove each element

    • For the remaining one element, enter 4,3,1,2 as the nodes

    • Click OK

  • Mesh→Edit→Basis…

    • Choose Hermite Basis Function→2D→Cubic-Cubic

    • Click Add Cubic-Cubic

    • Click OK to submit Basis Form

  • Mesh→Edit→Nodes…

    • Select Cubic-Cubic under Coordinate 1 and Coordinate 2

    • Modify the derivatives based on the table below
    • Click OK to submit Node Form

  • File→Reset…

    • Select the Save, reset, and reload radio button on the bottom

    • Click OK

  • File→Send

  • View→EditDimensions…

    • Click Accept marked recommendations and click OK

  • Mesh→Calculate Mesh…

  • Mesh→Render→Elements…

    • Click the lines radio button

    • Click Render to display mesh

Convert to linear-cubic interpolation

Pre-built model

This cont6 file contains all data and parameters for this problem: 1d_circle_arclength_derivs.cont6