178 citations · 1.1k across the 54 of their papers we have counts for
6 papers · 2 filters
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
Andrea Thomann, Gabriella Puppo, Christian Klingenberg
We present an implicit-explicit well-balanced finite volume scheme for the Euler equations with a gravitational source term which is able to deal also with low Mach flows. To visua…
Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations
Jayesh Badwaik, Praveen Chandrashekar, Christian Klingenberg
We propose an explicit, single step discontinuous Galerkin (DG) method on moving grids using the arbitrary Lagrangian-Eulerian (ALE) approach for one dimensional Euler equations. T…
An all speed second order IMEX relaxation scheme for the Euler equations
Andrea Thomann, Markus Zenk, Gabriella Puppo +1
We present an implicit-explicit finite volume scheme for the Euler equations. We start from the non-dimensionalised Euler equations where we split the pressure in a slow and a fast…
Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux
Jayesh Badwaik, Christian Klingenberg, Nils Henrik Risebro +1
We consider conservation laws with discontinuous flux where the initial datum, the flux function, and the discontinuous spatial dependency coefficient are subject to randomness. We…
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
Elena Gaburro, Walter Boscheri, Simone Chiocchetti +3
We present a new family of very high order accurate direct Arbitrary-Lagrangian-Eulerian (ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of nonlin…
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…