5 papers · 1 filter
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:…
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…