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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…
Extending the Numerical Flow Iteration to the multi-species Vlasov-Maxwell system through Hamiltonian Splitting
Rostislav-Paul Wilhelm, Fabio Bacchini, Sebastian Schöps +3
The Numerical Flow Iteration (NuFI) method has recently been proposed as a memory-slim while accurate in phase-space method for the electro-static Vlasov--Poisson system. It stores…
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…
Well-Posedness of the Linear Regularized 13-Moment Equations Using Tensor-Valued Korn Inequalities
Peter Lewintan, Lambert Theisen, Manuel Torrilhon
In this paper, we finally prove the well-posedness of the linearized R13 moment model, which describes, e.g., rarefied gas flows. As an extension of the classical fluid equations,…