MATLAB Answers

Interpolating at centroid of a tetrahedral mesh

조회 수: 15(최근 30일)
Sanwar Ahmad
Sanwar Ahmad 3 Sep 2020
답변: Ravi Kumar 3 Sep 2020
Hi
I have a 3D mesh with 4-noded tetrahedral elements. I defined a function/vector evaluated at the vertices of the mesh. I need to interpolate this vector at the centroid of each of the tetrahedral elements. Is there any built-in function to do that? I used pdeintrp for 2D mesh, but not sure if it works for the 3D mesh.
Thanks in advance.

답변(2개)

Bruno Luong
Bruno Luong 3 Sep 2020
The vector at the centroid of the tetrahedron is just the mean of the 4 vectors taken at 4 vertices.
So using MEAN with appropriate indexing and you are OK.
  댓글 수: 4
Bruno Luong
Bruno Luong 3 Sep 2020
You seem to use loosly the vocabulary. For P1 the basis functions are linear on the elements and continuoius on the entire domain. It's a triangle on 1D and "hat" like in 2D. To simplify this cumbersome description people calls it P1 elements.
The basis functions are NOT linear.

댓글을 달려면 로그인하십시오.


Ravi Kumar
Ravi Kumar 3 Sep 2020
You can use interpolateSolution if you are using equation based interfaces to setup the problem. If you are solving a structural or thermal problem, then you can use interpolateDisplacement or interpolateTemperature, respectively.
Regards,
Ravi

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by