Fundamentals of Lax-Wendroff Type Approach to Hyperbolic Problems with Discontinuities
Fundamentals of Lax-Wendroff Type Approach to Hyperbolic Problems with Discontinuities
复制标题
具有不连续性的双曲问题的 Lax-Wendroff 型方法的基础知识
DOI：
10.4208/aamm.2018.s02
复制
发表时间：
2019
影响因子：
1.4
通讯作者：
Li Jiequan
中科院分区：
文献类型：
--
作者：
Li Jiequan
本文介绍了在为双曲问题设计数值方案时对基本原理的理解，其中双曲问题的解决方案中包含不连续性。基本原理包括积分形式而非偏微分方程形式的双曲平衡定律的一致性、时空耦合、计算可压缩流体流动的热力学一致性、收敛参数和多维性等。一些数值结果显示了性能。 AMS 科目分类：35L65、65M08、65N08、76N15、76T10
This paper presents the understanding of the fundamentals when designing a numerical schemes for hyperbolic problems with discontinuities as parts of their solutions. The fundamentals include the consistency with hyperbolic balance laws in integral form rather than PDE form, spatial-temporal coupling, thermodynamic consistency for computing compressible fluid flows, convergence arguments and multidimensionality etc. Some numerical results are shown to display the performance. AMS subject classifications: 35L65, 65M08, 65N08, 76N15, 76T10