1 citations · 1 across the 1 of their papers we have counts for
4 papers
fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform
Lambert Theisen, Manuel Torrilhon
We present a mixed finite element solver for the linearized R13 equations of non-equilibrium gas dynamics. The Python implementation builds upon the software tools provided by the…
Stable Boundary Conditions and Discretization for PN Equations
Jonas Bünger, Neeraj Sarna, Manuel Torrilhon
A solution to the linear Boltzmann equation satisfies an energy bound, which reflects a natural fact: The energy of particles in a finite volume is bounded in time by the energy of…
On the Holway-Weiss Debate: Convergence of the Grad-Moment-Expansion in Kinetic Gas Theory
Zhenning Cai, Manuel Torrilhon
Moment expansions are used as model reduction technique in kinetic gas theory to approximate the Boltzmann equation. Rarefied gas models based on so-called moment equations became…
Third-order Limiting for Hyperbolic Conservation Laws applied to Adaptive Mesh Refinement and Non-Uniform 2D Grids
Birte Schmidtmann, Pawel Buchmüller, Manuel Torrilhon
In this paper we extend the recently developed third-order limiter function [J. Sci. Comput., (2016), 68(2), pp.~624--652] to make it applicable for more elab…