Name
Abstract | ||
|---|---|---|
We present new MUSCL techniques associated with cell-centered finite volume method on triangular meshes. The first reconstruction consists in calculating one vectorial slope per control volume by a minimization procedure with respect to a prescribed stability condition. The second technique we propose is based on the computation of three scalar slopes per triangle (one per edge) still respecting some stability condition. The resulting algorithm provides a very simple scheme which is extensible to higher dimensional problems. Numerical approximations have been performed to obtain the convergence order for the advection scalar problem whereas we treat a nonlinear vectorial example, namely the Euler system, to show the capacity of the new MUSCL technique to deal with more complex situations. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.jcp.2010.01.026 | Journal of Computational Physics |
Keywords | Field | DocType |
multislope method,new muscl technique,euler system,advection scalar problem,conservation laws,finite volume,nonlinear vectorial example,multislope muscl method,control volume,unstructured mesh,high-order scheme,scalar slope,prescribed stability condition,cell-centered finite volume method,vectorial slope,stability condition,conservation law,triangular mesh,finite volume method | Convergence (routing),Applied mathematics,Control volume,Mathematical optimization,Polygon mesh,Scalar (physics),Euler system,MUSCL scheme,Finite volume method,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
229 | 10 | Journal of Computational Physics |
Citations | PageRank | References |
18 | 2.07 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thierry Buffard | 1 | 18 | 2.07 |
| Stéphane Clain | 2 | 25 | 3.57 |