The Code for 3-D Gas-Dynamic Equation on Irregular Grids
Abstract
The paper considers the methodical issues for the development of 3-D code for the calculation of gas-dynamic equations on irregular grids. The paper will consider the irregular filling of 3-D space by convex figures with only minimum number of figures (four) adjacent at the vertices. The basic figure suitable for our purposes is represented by the parallelohedron with the number of figures adjacent at each vertex equaling to four. This figure is referred to as Voronoy body in literature when the centers are correctly positioned. This figure is convenient as a cell of 3-D grid for the approximation of gas-dynamic equations. The calculation of the motion of the solid medium described by Lagrangian gas-dynamic equations uses the moving coordinate system relating to the material and displacing with the latter. Explicit Lagrangian schemes approximating gas-dynamic equations demonstrate the grid distortion which is not desired. Local reconfigurations of irregular grids permit to eliminate this defect, however the arbitrary polyhedron becomes the grid cell. The calculation of relatively complex problems uses the combination of two methods for filling the space (irregular grids) for the integrated domain of the problem solution. The computational results demonstrating this code capabilities are given for some 3-D problems on irregular grids.
- Publication:
-
APS Shock Compression of Condensed Matter Meeting Abstracts
- Pub Date:
- June 1999
- Bibcode:
- 1999APS..SHK..M823R