Zobrazeno 1 - 10
of 172
pro vyhledávání: '"Mueller, Siegfried"'
Existing theoretical stabilization results for linear, hyperbolic multi-dimensional problems are extended to the discretized multi-dimensional problems. In contrast to existing theoretical and numerical analysis in the spatially one-dimensional case
Externí odkaz:
http://arxiv.org/abs/2410.21890
Autor:
Kolbe, Niklas, Müller, Siegfried
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 purpose, an elastic solid modeled by a linear system of conservation la
Externí odkaz:
http://arxiv.org/abs/2409.05473
Multi-component Baer-Nunziato-type models for isothermal and isentropic fluids are investigated. These are given by balance equations for volume fractions, density and momentum for each component accounting for the relaxation to equilibrium by means
Externí odkaz:
http://arxiv.org/abs/2407.06919
The ultra-relativistic Euler equations for an ideal gas are described in terms of the pressure, the spatial part of the dimensionless four-velocity and the particle density. Radially symmetric solutions of these equations are studied in two and three
Externí odkaz:
http://arxiv.org/abs/2402.12857
A new linear relaxation system for nonconservative hyperbolic systems is introduced, in which a nonlocal source term accounts for the nonconservative product of the original system. Using an asymptotic analysis the relaxation limit and its stability
Externí odkaz:
http://arxiv.org/abs/2311.03581
A novel numerical scheme to solve coupled systems of conservation laws is introduced. The scheme is derived based on a relaxation approach and does not require information on the Lax curves of the coupled systems, which simplifies the computation of
Externí odkaz:
http://arxiv.org/abs/2304.13946
In this work, we devise a model adaptation strategy for a class of model hierarchies consisting of two levels of model complexity. In particular, the fine model consists of a system of hyperbolic balance laws with stiff reaction terms and the coarse
Externí odkaz:
http://arxiv.org/abs/2302.11008
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 relaxation system introduced in [Jin and Xin, Comm. Pure Appl. Math.
Externí odkaz:
http://arxiv.org/abs/2209.05137
Autor:
Müller, Siegfried, Rom, Michael
In the context of transpiration cooling, a 1D porous medium model consisting of a temperature system and a mass-momentum system is derived from the 2D/3D Darcy-Forchheimer equations. The temperatures of the coolant and the solid are assumed to be in
Externí odkaz:
http://arxiv.org/abs/2208.13502
A multiresolution analysis for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher dimensional deterministic problem, a discontinuous Galerkin (DG) solver is derived. A multiresolution analysis of the DG s
Externí odkaz:
http://arxiv.org/abs/2203.11534