一类耦合Burgers方程组的数值计算
Numerical Solution to Coupled Burgers’ Equations
DOI: 10.12677/AAM.2019.812225, PDF,    科研立项经费支持
作者: 宿 乐, 高 巍：内蒙古大学数学科学学院，内蒙古 呼和浩特
关键词: 耦合Burgers方程组；有限体积法；离散；Coupled Burgers’ System； Finite Volume Method； Discrete
摘要: 本文基于有限体积格式，对于一类耦合Burgers方程组问题，在满足TVD (Total Variational Diminishing)准则的情况下，利用Hermite插值法建立了新的格式离散对流项，并利用三阶Runge-Kutta格式对时间项进行离散，通过经典的数值算例验证，该格式具有良好的计算效果。
Abstract: This paper solves a class of coupled Burgers’ equations based on finite volume scheme in a uniform grid. A new scheme for discretizing convective term is constructed by Hermite interpolation method with satisfying TVD (Total Variational Diminishing) criterion, and the time discretization is fulfilled by using the third-order Runge-Kutta scheme. It is verified that this scheme has gained a good computational performance by several classical numerical examples.
文章引用：宿乐, 高巍. 一类耦合Burgers方程组的数值计算[J]. 应用数学进展, 2019, 8(12): 1959-1970. https://doi.org/10.12677/AAM.2019.812225

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