High resolution schemes for hyperbolic conservation laws
High resolution schemes for hyperbolic conservation laws
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DOI：
10.1142/9789814354561_0013
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
C. Angelopoulos
中科院分区：
文献类型：
--
作者：
C. Angelopoulos
提出了一类新的计算双曲型守恒律方程弱解的二阶精度显式差分格式。这些高度非线性格式是通过对通量函数进行适当修正而得到的。由此导出的二阶精度格式在保持原无振荡一阶精度格式的鲁棒性的同时，获得了高分辨率。数值实验证明了这些新方案的性能。
A class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function. The so-derived second order accurate schemes achieve high resolution while preserving the robustness of the original nonoscillatory first order accurate scheme. Numerical experiments are presented to demonstrate the performance of these new schemes.