Name
Abstract | ||
|---|---|---|
We construct a new nonlinear monotone finite volume scheme for diffusion equation on polygonal meshes. The new scheme uses the cell-edge unknowns instead of cell-vertex unknowns as the auxiliary unknowns in order to improve the accuracy of monotone scheme. Our scheme is locally conservative and has only cell-centered unknowns. Numerical results are presented to show how our scheme works for preserving positivity on various distorted meshes. Specially, numerical results show that the new scheme is robust, and more accurate than the existing monotone scheme on some kinds of meshes. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jcp.2012.01.015 | J. Comput. Physics |
Keywords | Field | DocType |
polygonal mesh,diffusion equation,cell-edge unknown,monotone scheme,scheme work,nonlinear monotone finite volume,numerical result,improved monotone finite volume,new scheme,cell-vertex unknown,cell-centered unknown,existing monotone scheme,auxiliary unknown,monotonicity | Monotonic function,Polygon,Mathematical optimization,QUICK scheme,Polygon mesh,Nonlinear system,Mathematical analysis,Finite volume method,Diffusion equation,Monotone polygon,Mathematics | Journal |
Volume | Issue | ISSN |
231 | 9 | 0021-9991 |
Citations | PageRank | References |
12 | 0.63 | 23 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhiqiang Sheng | 1 | 129 | 14.39 |
| Guangwei Yuan | 2 | 165 | 23.06 |