Second-order schemes based on a relaxation system for scalar and systems of conservation laws

被引：0
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作者：
Chalons, Christophe [1 ]
Girardin, Mathieu [2 ,3 ]
机构：
[1] Laboratoire de Mathématiques de Versailles, UVSQ, CNRS, Université Paris-Saclay, Versailles,F-78035, France
[2] CEA, DAM, DIF, Arpajon,F-91297, France
[3] Université Paris-Saclay, CEA, Laboratoire en Informatique Haute Performance pour le Calcul et la simulation, Bruyères-le-Châtel,91680, France
来源：
Applied Mathematics and Computation | 2025年 / 490卷
关键词：
D O I：
10.1016/j.amc.2024.129173
中图分类号：
学科分类号：
摘要：
In this paper, we propose a new class of second-order one-step time-splitting schemes for scalar and systems of conservation laws. The strategy is based on a relaxation approximation which consists in introducing a relaxation system with linearly degenerate characteristic fields to approximate the original system and deal with its nonlinearities. The numerical schemes are based on the use of arbitrarily high-order approximations of the underlying linear advection equations. Numerical evidence is proposed to illustrate the behaviour of our schemes. © 2024 Elsevier Inc.
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