20 citations · 33 across the 6 of their papers we have counts for
7 papers
A well-balanced Active Flux method for the shallow water equations with wetting and drying
Wasilij Barsukow, Jonas P. Berberich
Active Flux is a third order accurate numerical method which evolves cell averages and point values at cell interfaces independently. It naturally uses a continuous reconstruction,…
On the Active Flux scheme for hyperbolic PDEs with source terms
Wasilij Barsukow, Jonas P. Berberich, Christian Klingenberg
The Active Flux scheme is a Finite Volume scheme with additional point values distributed along the cell boundary. It is third order accurate and does not require a Riemann solver:…
Well-balanced treatment of gravity in astrophysical fluid dynamics simulations at low Mach numbers
P. V. F. Edelmann, L. Horst, J. P. Berberich +5
Accurate simulations of flows in stellar interiors are crucial to improving our understanding of stellar structure and evolution. Because the typically slow flows are merely tiny p…
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…
High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws
Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg
We introduce a general framework for the construction of well-balanced finite volume methods for hyperbolic balance laws. We use the phrase well-balancing in a broader sense, since…
Second order finite volume scheme for Euler equations with gravity which is well-balanced for general equations of state and grid systems
Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg +1
We develop a second order well-balanced finite volume scheme for compressible Euler equations with a gravitational source term. The well-balanced property holds for arbitrary hydro…