Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws

作     者：Bruno Costa Wai Sun Don David Gottlieb Radislav Sendersky 

作者机构：Departamento de Matem´atica AplicadaIM-UFRJCaixa Postal 68530Rio de JaneiroRJC.E.P.21945-970Brazil Division of Applied MathematicsBrown UniversityProvidenceRhode Island 02912USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2006年第1卷第3期

页      面：548-574页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：the DOE under contract number DE-FG02-98ER25346 the AFOSR under contract number FA9550-05-1-0123 

主　　题：Spectral WENO multi-resolution multi-domain hybrid conservation laws 

摘      要：The multi-domain hybrid Spectral-WENO method(Hybrid)is introduced for the numerical solution of two-dimensional nonlinear hyperbolic systems in a Cartesian physical domain which is partitioned into a grid of rectangular *** main idea of the Hybrid scheme is to conjugate the spectral and WENO methods for solving problems with shock or high gradients such that the scheme adapts its solver spatially and temporally depending on the smoothness of the solution in a given *** as a multi-domain method,an adaptive algorithm is used to keep the solutions parts exhibiting high gradients and discontinuities always inside WENO subdomains while the smooth parts of the solution are kept inside spectral ones,avoiding oscillations related to the well-known Gibbs phenomenon and increasing the numerical efficiency of the overall scheme.A higher order version of the multi-resolution analysis proposed by Harten is used to determine the smoothness of the solution in each *** also discuss interface conditions for the two-dimensional problem and the switching procedure between WENO and spectral *** Hybrid method is applied to the two-dimensional Shock-Vortex Interaction and the Richtmyer-Meshkov Instability(RMI)problems.