Friedemann Kemm

TL;DR: A new approach to the stabilization of numerical schemes in magnetohydrodynamic processes in which the divergence errors are transported to the domain boundaries with the maximal admissible speed and are damped at the same time is developed.

TL;DR: In this article, a comparative study of TVD-limiters for standard finite volume schemes is presented, which includes also unsymmetrical limiter functions which depend on the local CFL-number.

TL;DR: A new diffuse interface model for the numerical simulation of inviscid compressible flows around fixed and moving solid bodies of arbitrary shape that proves that at the material interface, i.e. where the volume fraction jumps from unity to zero, the normal component of the fluid velocity assumes the value of the normal part of the solid velocity.

TL;DR: In this article, the initial and boundary conditions as well as the size of the computational domain for the double Mach reflection problem when set up as a test for the resolution of an Euler scheme for gas dynamics are discussed.

TL;DR: This study identifies two main sources for the carbuncle: instability of the 1d shock position and low numerical viscosity on shear waves, and describes how higher order stabilizes the 1D shock Position and, thus, reduces thecarbuncle.