Filling the void - Interpolating in Cartesian cut cells
Adam Theodore Hendriks, Robert Haimes, Michael J. Aftosmis · 39th Aerospace Sciences Meeting and Exhibit · 2001
The majority of scientific visualization algorithms are finite-element based. For Cartesian meshes, the definition of the boundary conditions around the body leads to inaccurate visualization data due to the nature of the grid (it is not compatible with finite-element based algorithms). In this paper, we present an algorithm to generate an intermediate, 3D, bodyfitted mesh that links the Cartesian mesh to the body, and allows accurate visualization data near the body. The 3D grid consists of tetrahedral cells, and it matches to all of the nodes (including the hanging nodes) of the Cartesian grid. The only nodes created on this body are surface nodes. 1. Introduction Cartesian and body-fitted meshes are the two forms of grid generation used for the simulation of many 3D physical systems. The orientation of the cells in a Cartesian mesh is independent of the body of interest. All of the faces of the cells are positioned in one of the three Cartesian coordina...