We develop a new second-order flux globalization based path-conservative central-upwind
(PCCU) scheme for rotating shallow water magnetohydrodynamic equations. The new …

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 …

In this paper, a second-order finite volume Non-Homogeneous Riemann Solver is used to
obtain an approximate solution for the two-dimensional shallow water …

We develop a new second-order unstaggered semidiscrete path-conservative central-
upwind (PCCU) scheme for ideal and shallow water magnetohydrodynamics (MHD) …

In this paper, we derive new shallow asymptotic models for the free boundary plasma-
vacuum problem governed by the magnetohydrodynamic equations which are vital when …

We consider in this work the numerical resolution of a 2D shallow water system with a
Coriolis effect and bottom friction stresses on unstructured meshes by a new Finite Volume …

For magnetohydrodynamics (MHD) equations, the existing entropy stable (ES) flux
effectively eliminates the spurious oscillation, but it still has potential for improvement such …

We develop a new second-order flux globalization based path-conservative central-upwind
(PCCU) scheme for rotating shallow water magnetohydrodynamic equations. The new …

The large-scale hydrodynamics of the solar tachocline have been modeled by a version of
the well-known shallow water equations augmented to include the effects of magnetism …

In this paper, we study the N-dimensional incompressible flow governed by the ideal
magnetohydrodynamic (MHD) equations combining Euler equation (for the fluid velocity) …