Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems

作     者：Jun Zhu Jianxian Qiu 

作者机构：College of ScienceNanjing University of Aeronautics and AstronauticsNanjingJiangsu 210016China Department of MathematicsNanjing UniversityNanjingJiangsu 210093China 

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

年 卷 期：2010年第8卷第10期

页      面：1242-1263页

核心收录：

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

基　　金：supported by NSFC grants 10671091,10811120283 the European project ADIGMA on the development of innovative solution algorithms for aerodynamic simulations Additional support was provided by USA NSF DMS-0820348 while J.Qiu was in residence at Department of Mathematical Sciences,Rensselaer Polytechnic Institute 

主　　题：TWENO scheme hyperbolic conservation laws highly oscillatory problem finite difference scheme 

摘      要：In this paper,we use trigonometric polynomial reconstruction,instead of algebraic polynomial reconstruction,as building blocks for the weighted essentially non-oscillatory(WENO)finite difference schemes to solve hyperbolic conservation laws and highly oscillatory *** goal is to obtain robust and high order accurate solutions in smooth regions,and sharp and non-oscillatory shock *** results are provided to illustrate the behavior of the proposed schemes.