Name
Abstract | ||
|---|---|---|
In this article, the development of high-order semi-implicit interpolation schemes for convection terms on unstructured grids is presented. It is based on weighted essentially non-oscillatory (WENO) reconstructions which can be applied to the evaluation of any field in finite volumes using its known cell-averaged values. Here, the algorithm handles convex cells in arbitrary three-dimensional meshes. The implementation is parallelized using the Message Passing Interface. All schemes are embedded in the code structure of OpenFOAM (R) resulting in the access to a huge open-source community and the applicability to high-level programming. Several verification cases and applications of the scalar advection equation and the incompressible Navier-Stokes equations show the improved accuracy of the WENO approach due to a mapping of the stencil to a reference space without scaling effects. An efficiency analysis indicates an increased computational effort of high-order schemes in comparison to available high-resolution methods. However, the reconstruction time can be efficiently decreased when more processors are used. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.3390/computation6010006 | COMPUTATION |
Keywords | DocType | Volume |
CFD, high-order methods, WENO reconstruction, semi-implicit, unstructured grids | Journal | 6 |
Issue | ISSN | Citations |
1 | 2079-3197 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tobias Martin | 1 | 20 | 2.78 |
| Ivan Shevchuk | 2 | 0 | 0.34 |