High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

27 Mar 2020 Duan Junming Tang Huazhong

This paper develops the high-order accurate entropy stable (ES) finite difference schemes for the shallow water magnetohydrodynamic (SWMHD) equations.They are built on the numerical approximation of the modified SWMHD equations with the Janhunen source term. First, the second-order accurate well-balanced semi-discrete entropy conservative (EC) schemes are constructed, satisfying the entropy identity for the given convex entropy function and preserving the steady states of the lake at rest (with zero magnetic field)... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • NUMERICAL ANALYSIS
  • NUMERICAL ANALYSIS