Name
Title | ||
|---|---|---|
A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. |
Abstract | ||
|---|---|---|
In this paper, a new cell-centered positivity-preserving pyramid scheme (called P3-scheme) is proposed for anisotropic diffusion problems. It can be regarded as a development of the O-scheme [31] for general hexahedral meshes with nonplanar cell-faces. In the P3-scheme, the flux on the nonplanar cell-face is approximated by the so called effective directional flux. Compared with the O-scheme, the P3-scheme is much more robust with respect to the distortion of the meshes, and has lower cost in computation and storage. Being different from the P-scheme [32], the P3-scheme is positivity-preserving and can be applied to anisotropic diffusion problems. Numerical results are presented to show the performance of P3-scheme on various kinds of distorted meshes for problems with continuous and discontinuous diffusion coefficients. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.jcp.2018.05.026 | Journal of Computational Physics |
Keywords | Field | DocType |
Positivity-preserving finite volume scheme,General hexahedrons,Nonplanar cell-faces,Three dimensional anisotropic diffusion equations | Anisotropic diffusion,Hexahedron,Polygon mesh,Mathematical analysis,Flux,Pyramid,Distortion,Mathematics,Computation | Journal |
Volume | ISSN | Citations |
371 | 0021-9991 | 0 |
PageRank | References | Authors |
0.34 | 12 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shuai Wang | 1 | 252 | 48.81 |
| Xudeng Hang | 2 | 14 | 2.45 |
| Guangwei Yuan | 3 | 165 | 23.06 |