A simple algorithm to improve the performance of the WENO scheme on non-uniform grids |
| |
Authors: | Wen-Feng Huang Yu-Xin Ren Xiong Jiang |
| |
Institution: | 1.Tsinghua University,Beijing,China;2.China Aerodynamics Research and Development Center,Mianyang,China |
| |
Abstract: | This paper presents a simple approach for improving the performance of the weighted essentially non-oscillatory (WENO) finite volume scheme on non-uniform grids. This technique relies on the reformulation of the fifth-order WENO-JS (WENO scheme presented by Jiang and Shu in J. Comput. Phys. 126:202–228, 1995) scheme designed on uniform grids in terms of one cell-averaged value and its left and/or right interfacial values of the dependent variable. The effect of grid non-uniformity is taken into consideration by a proper interpolation of the interfacial values. On non-uniform grids, the proposed scheme is much more accurate than the original WENO-JS scheme, which was designed for uniform grids. When the grid is uniform, the resulting scheme reduces to the original WENO-JS scheme. In the meantime, the proposed scheme is computationally much more efficient than the fifth-order WENO scheme designed specifically for the non-uniform grids. A number of numerical test cases are simulated to verify the performance of the present scheme. |
| |
Keywords: | |
本文献已被 CNKI SpringerLink 等数据库收录! |
|