178 citations · 1.1k across the 54 of their papers we have counts for
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High order discretely well-balanced methods for arbitrary hydrostatic atmospheres
Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar +1
We introduce novel high order well-balanced finite volume methods for the full compressible Euler system with gravity source term. They require no a priori knowledge of the hydrost…
Entropy Stable Numerical Fluxes for Compressible Euler Equations which are Suitable for All Mach Numbers
Jonas P. Berberich, Christian Klingenberg
We propose two novel two-state approximate Riemann solvers for the compressible Euler equations which are provably entropy dissipative and suitable for the simulation of low Mach n…
Exact solution and the multidimensional Godunov scheme for the acoustic equations
Wasilij Barsukow, Christian Klingenberg
The acoustic equations derived as a linearization of the Euler equations are a valuable system for studies of multi-dimensional solutions. Additionally they possess a low Mach numb…