一维双曲守恒律方程的保极值间断有限体积元方法
A Maximum-Principle Satisfying Discontinuous Finite Volume Element Scheme for One-Dimensional Hyperbolic Conservation Laws
摘要: 本文利用间断有限体积元方法求解双曲守恒律方程。为克服传统TVD限制器的精度损失问题，本文采用了保极值限制器。时间离散上采用了三阶的SSP Runge-Kutta方法。经典算例结果验证了本方法计算的有效性和精度。
Abstract: In the article, we present a discontinuous finite volume element method for solving hyperbolic conservation laws. A maximum-principle satisfying limiter is adopted to keep accuracy. The time discretization is based on third order SSP Runge-Kutta scheme. Typical test cases show the effectiveness and accuracy of the present scheme.
文章引用：陈浩, 高巍. 一维双曲守恒律方程的保极值间断有限体积元方法[J]. 应用数学进展, 2020, 9(11): 1934-1944. https://doi.org/10.12677/AAM.2020.911223

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