Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning
Friedemann Kemm
TL;DR
This paper develops Roe-type linearization schemes for shallow water magnetohydrodynamics, including hyperbolic divergence cleaning, to improve numerical simulation accuracy and stability.
Contribution
It introduces Roe-type schemes tailored for non-conservative shallow water MHD equations with divergence cleaning, a novel approach in this context.
Findings
Enhanced numerical stability with divergence cleaning
Accurate wave propagation modeling in shallow water MHD
Framework applicable to complex MHD simulations
Abstract
We discuss Roe-type linearizations for non-conservative shallow water magnetohydrodynamics without and with hyperbolic divergence cleaning.
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Taxonomy
TopicsComputational Fluid Dynamics and Aerodynamics · Fluid Dynamics and Turbulent Flows · Navier-Stokes equation solutions