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math.NA2025
A Convergent Structure-Preserving Scheme for Dissipative Solutions of the Rotating Shallow Water System
K. R. Arun, A. Krishnamurthy
We design and analyse a semi-implicit finite volume scheme for the two-dimensional rotating shallow water (RSW) equations that is energy stable, well-balanced (capable of preservin…
math.NA2025
A Structure-Preserving Scheme for the Euler System with Potential Temperature Transport
K. R. Arun, Rahuldev Ghorai
We consider the compressible Euler equations with potential temperature transport, a system widely used in atmospheric modelling to describe adiabatic, inviscid flows. In the low M…