The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids II: Extension to high order finite volume schemes |
| |
Authors: | Wanai Li Yu-Xin Ren |
| |
Affiliation: | Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China |
| |
Abstract: | In this paper, the multidimensional limiter for the second order finite volume schemes on the unstructured grid, namely the Weighted Biased Average procedure developed in our previous paper is extended to high order finite volume schemes solving hyperbolic conservation laws. This extension relies on two key techniques: the secondary reconstruction and the successive limiting procedure. These techniques are discussed in detail in the present paper. Numerical experiments shows that this limiting procedure is very effective in removing numerical oscillations in the vicinity of discontinuities. And furthermore this procedure is efficient, robust and accuracy preserving. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|