Name
Abstract | ||
|---|---|---|
In this paper, a new cell-centered finite volume scheme is proposed for three-dimensional diffusion equations on polyhedral meshes, which is called as pyramid scheme (P-scheme). The scheme is designed for polyhedral cells with nonplanar cell-faces. The normal flux on a nonplanar cell-face is discretized on a planar face, which is determined by a simple optimization procedure. The resulted discrete form of the normal flux involves only cell-centered and cell-vertex unknowns, and is free from face-centered unknowns. In the case of hexahedral meshes with skewed nonplanar cell-faces, a quite simple expression is obtained for the discrete normal flux. Compared with the second order accurate O-scheme [31], the P-scheme is more robust and the discretization cost is reduced remarkably. Numerical results are presented to show the performance of the P-scheme on various kinds of distorted meshes. In particular, the P-scheme is shown to be second order accurate. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.jcp.2017.08.060 | Journal of Computational Physics |
Keywords | Field | DocType |
Finite volume scheme,Polyhedral cell with nonplanar faces,3D diffusion equation,The pyramid scheme | Hexahedron,Discretization,Mathematical optimization,Polygon mesh,Mathematical analysis,Planar,Pyramid,Flux,Finite volume method,Mathematics | Journal |
Volume | ISSN | Citations |
350 | 0021-9991 | 1 |
PageRank | References | Authors |
0.36 | 9 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shuai Wang | 1 | 252 | 48.81 |
| Xudeng Hang | 2 | 14 | 2.45 |
| Guangwei Yuan | 3 | 165 | 23.06 |