平流方程两种空间离散化方案的比较研究

H. Bakodah
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引用次数: 0

摘要

本文比较了平流方程的两种空间离散方法,即第一有限差分法和直线法。通过冯诺依曼方法和矩阵分析研究了该方法的稳定性。将该方法应用于若干测试问题,比较了其精度和计算效率。结果表明,两种离散化方法都能正确逼近平流方程的解,并对其精度和性能进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Comparative Study of Two Spatial Discretization Schemes for Advection Equation
In this paper, we describe a comparison of two spatial discretization schemes for the advection equation, namely the first finite difference method and the method of lines. The stability of the methods has been studied by Von Neumann method and with the matrix analysis. The methods are applied to a number of test problems to compare the accuracy and computational efficiency. We show that both discretization techniques approximate correctly solution of advection equation and compare their accuracy and performance.
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