Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning

作者：

Highlights：

• Unsplit implementation of hyperbolic divergence cleaning

• Galilean invariant hyperbolic divergence cleaning (= Powell+GLM)

• Via Roe-linearization full control on wave-wise numerical viscosity

摘要

•Unsplit implementation of hyperbolic divergence cleaning•Galilean invariant hyperbolic divergence cleaning (= Powell+GLM)•Via Roe-linearization full control on wave-wise numerical viscosity

论文关键词：Divergence cleaning,Generalized Lagrange multiplier,Shallow water MHD,Finite-volume schemes,Nonconservative PDE

论文评审过程：Received 6 October 2014, Accepted 18 May 2015, Available online 25 June 2015, Version of Record 10 November 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.05.079