On the efficient implementation of PVM methods and simple Riemann solvers. Application to the Roe method for large hyperbolic systems
作者：
Highlights：
• An efficient implementation of PVM methods is proposed.
• The relation between the PVM methods and simple Riemann solvers is revisited.
• A new implementation of the Roe method is proposed, named as Newton Roe method.
• Newton Roe method is more efficient than the standard one for large hyperbolic systems.
• Numerical tests with the two-layer shallow-water system and the QBME model are shown.
摘要
•An efficient implementation of PVM methods is proposed.•The relation between the PVM methods and simple Riemann solvers is revisited.•A new implementation of the Roe method is proposed, named as Newton Roe method.•Newton Roe method is more efficient than the standard one for large hyperbolic systems.•Numerical tests with the two-layer shallow-water system and the QBME model are shown.
论文关键词：PVM methods,Simple Riemann solvers,Roe method,Finite volume methods,Path-conservative methods,Large hyperbolic systems
论文评审过程：Received 1 August 2019, Revised 22 June 2020, Accepted 12 July 2020, Available online 22 July 2020, Version of Record 22 July 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125544
