Extension of the spectral volume method to high-order boundary representation |
| |
Institution: | 1. Department of Mechanical Engineering, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8550, Japan;2. School of Naval Architecture, Department of Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China;3. Université de Bordeaux Institut de Mathématiques de Bordeaux, UMR 5251, Talence 33 405, France |
| |
Abstract: | In this paper, the spectral volume method is extended to the two-dimensional Euler equations with curved boundaries. It is well-known that high-order methods can achieve higher accuracy on coarser meshes than low-order methods. In order to realize the advantage of the high-order spectral volume method over the low order finite volume method, it is critical that solid wall boundaries be represented with high-order polynomials compatible with the order of the interpolation for the state variables. Otherwise, numerical errors generated by the low-order boundary representation may overwhelm any potential accuracy gains offered by high-order methods. Therefore, more general types of spectral volumes (or elements) with curved edges are used near solid walls to approximate the boundaries with high fidelity. The importance of this high-order boundary representation is demonstrated with several well-know inviscid flow test cases, and through comparisons with a second-order finite volume method. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|