6 papers
Variance Reduction in the Fokker-Planck Particle Method for Rarefied Gases using Quasi-Random Numbers
Lukas Netterdon, Veronica Montanaro, Manuel Torrilhon +1
The Fokker-Planck (FP) particle method accelerates rarefied-gas simulations by replacing the binary collisions of the commonly used Direct Simulation Monte Carlo (DSMC) method with…
Simulation of multi-species kinetic instabilities with the Numerical Flow Iteration
Rostislav-Paul Wilhelm, Manuel Torrilhon
Kinetic instabilities are one of the most challenging aspects in computational plasma physics. Accurately capturing their onset and evolution requires fine resolution of the high-d…
Fisher entropic Fokker-Planck model of monatomic rarefied gases
Veronica Montanaro, Lukas Netterdon, Manuel Torrilhon +1
Particle-based stochastic approximations of the Boltzmann equation are popular tools for simulations of non-equilibrium gas flows, for which the Navier-Stokes-Fourier equations fai…
A generalized fundamental solution technique for the regularized 13-moment system in rarefied gas flows
Himanshi, Lambert Theisen, Anirudh Singh Rana +2
In this work, we explore the method of fundamental solutions (MFS) for solving the regularized 13-moment (R13) equations for rarefied monatomic gases. While previous applications o…
Sparse Reconstruction of Multi-Dimensional Kinetic Distributions
Georgii Oblapenko, Manuel Torrilhon, Michael Herty
In the present work, we propose a novel method for reconstruction of multi-dimensional kinetic distributions, based on their representation as a mixture of Dirac delta functions. T…
Entropy-stable fluxes for high-order Discontinuous Galerkin simulations of high-enthalpy flows
Georgii Oblapenko, Arseniy Tarnovskiy, Moritz Ertl +1
In the present work, we extend the Discontinuous Galerkin Spectral Element Method (DGSEM) to high-enthalpy reacting gas flows with internal degrees of freedom. An entropy- and kine…