应用数学2017，Vol.30Issue(4)：737-749,13.
基于不同数值流通量求解可压缩Euler方程组的Lax-Wendroff控制体积方法
Lax-Wendroff Control Volume Method for Solving the Compressible Euler Equations Based on Different Numerical Fluxes
摘要
Abstract
Control volume discontinuous Petrov-Galerkin method based on Lax-Wendroff time discretization is a high accuracy and high resolution numerical method for solving hyperbolic conservation laws.In this paper,we do some comparisons among eight numerical fluxes.Several numerical examples are given to test the performance of the different numerical fluxes which including the time costing,accuracy,resolution and ability to deal with complex wave interaction.关键词
可压缩Euler方程组/控制体积间断Petrov-Galerkin方法/数值流通量Key words
Compressible Euler equation/Control volume discontinuous Petrov-Galerkin method/Numerical flux分类
数理科学引用本文复制引用
赵国忠,蔚喜军,郭怀民..基于不同数值流通量求解可压缩Euler方程组的Lax-Wendroff控制体积方法[J].应用数学,2017,30(4):737-749,13.基金项目
Supported by the National Natural Science Foundation of China (11761054,11261035,11571002),the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (NJYT-15-A07),the Natural Science Foundation of Inner Mongolia Autonomous Region,China (2015MS0108,2012MS0102),the Science Research Foundation of Institute of Higher Education of Inner Mongolia Autonomous Region,China (NJZZ12198,NJZZ16234,NJZZ16235),Science and Technology Development Foundation of CAEP (2015B0101021) and Defense Industrial Technology Development Program(B1520133015) （11761054,11261035,11571002）
