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

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。

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.