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（英文）

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英文篇名：Lax-Wendroff Control Volume Method for Solving the Compressible Euler Equations Based on Different Numerical Fluxes 作者：赵国忠 ; 蔚喜军 ; 郭怀民 英文作者：ZHAO Guozhong;YU Xijun;GUO Huaimin;Faculty of Mathematics, Baotou Teachers College;Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics; 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 英文关键词：Compressible Euler equation;;Control volume discontinuous Petrov-Galerkin method;;Numerical flux 中文刊名：YISU 英文刊名：Mathematica Applicata 机构：包头师范学院数学科学学院;北京应用物理与计算数学研究所计算物理实验室; 出版日期：2017-09-19 11:50 出版单位：应用数学 年：2017 期：v.30;No.127 基金：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);; Defense Industrial Technology Development Program(B1520133015) 语种：英文; 页：YISU201704003 页数：13 CN：04 ISSN：42-1184/O1 分类号：29-41

摘要

基于Lax-Wendroff时间离散的控制体积间断Petrov-Galerkin方法是求解双曲守恒律的一种高精度和高分辨率数值方法.本文通过几个数值算例对8种数值流通量的数值表现作了详尽的比较,内容涉及耗时、精度、分辨率以及模拟复杂波形相互作用的能力.
        Control volume discontinuous Petrov-Galerkin method based on LaxWendroff 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.

引文

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