Abstract:
High order accuracy has become a new challenge in numerical simulation for engineering applications, and a number of methods have been developed for this purpose in an efficient manner. Among them, spectral volume method is an attractive approach which ensures local conservation and achieves high order accuracy for unstructured grid. Initially it was developed for hyperbolic conservative laws, and has been successfully demonstrated for the Euler equation. To extend this method to the Navier-Stokes equation, three formulations was tested and reported by Wang and Shu for the diffusion equation. In this paper, we present two new formulations, namely Optimally Accurate and Symmetry Preserving (OASP) and Optimal Local S V formulation, developed by the authors. A detailed comparison of these new formulations is made with the local SV formulation, and are found to be more accurate and stable. Furthermore OASP is the only formulation which preserves the symmetry of an elliptical operator.
Page(s):
197-204
DOI:
DOI not available
Published:
Journal: Proceedings 6th International Bhurban Conference on Applied Sciences and Technology , Volume: 1, Issue: 0, Year: 2009