标量线性双曲方程的保守逆风修正方法

Pub Date : 2021-01-01 DOI:10.5666/KMJ.2021.61.2.309

Sang Dong Kim, Yong Hun Lee, B. Shin

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引用次数: 0

摘要

利用正交规则和ODE求解器，给出了求解标量双曲型方程的一种保守格式。该数值格式由迎风部分和修正部分组成，修正部分是通过对给定的双曲方程引入新变量而得到的。通过大量的计算验证了该算法的稳定性和准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations

A conservative scheme for solving scalar hyperbolic equations is presented using a quadrature rule and an ODE solver. This numerical scheme consists of an upwind part, plus a correction part which is derived by introducing a new variable for the given hyperbolic equation. Furthermore, the stability and accuracy of the derived algorithm is shown with numerous computations.

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