Godunov-type schemes for the pressureless gas dynamics and related models

作者：

Highlights：

• New Godunov-type schemes for weakly hyperbolic pressureless gas dynamics systems are developed.

• Resulting schemes outclass previously developed FDS based Roe-type works.

• Several computational examples are considered to demonstrate the accuracy and robustness of the developed schemes.

摘要

•New Godunov-type schemes for weakly hyperbolic pressureless gas dynamics systems are developed.•Resulting schemes outclass previously developed FDS based Roe-type works.•Several computational examples are considered to demonstrate the accuracy and robustness of the developed schemes.

论文关键词：Weakly hyperbolic systems,Delta-shocks,Godunov-type schemes,Single-point shock-capturing

论文评审过程：Received 1 March 2021, Revised 15 October 2021, Accepted 7 November 2021, Available online 27 November 2021, Version of Record 27 November 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126790