4 papers · 1 filter
Arbitrary Lagrangian-Eulerian Methods for Compressible Flows
Jayesh Badwaik
In this report, we propose a collection of methods to make such an approach possible for Euler equations in one and two dimensions. We propose an explicit single-step ALE DG scheme…
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…
Convergence rates of monotone schemes for conservation laws with discontinuous flux
Jayesh Badwaik, Adrian Montgomery Ruf
We prove that a class of monotone finite volume schemes for scalar conservation laws with discontinuous flux converge at a rate of in , whenever the flux…
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…