3 papers
math.NA2024
A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
Niklas Kolbe, Siegfried Müller
A recently developed coupling strategy for two nonconservative hyperbolic systems is employed to investigate a collapsing vapor bubble embedded in a liquid near a solid. For this p…
math.NA2022
Central schemes for networked scalar conservation laws
Michael Herty, Niklas Kolbe, Siegfried Müller
We propose a novel scheme to numerically solve scalar conservation laws on networks without the necessity to solve Riemann problems at the junction. The scheme is derived using the…
math.AP2019
Flow Solutions of Transport Equations
Sholeh Karimghasemi, Siegfried Müller, Michael Westdickenberg
Under general assumptions on the velocity field, it is possible to construct a flow that is forward untangled. Once such a flow has been selected, the associated transport problem…