1 citations · 1 across the 10 of their papers we have counts for
12 papers
Sparse entropic quadrature for moment equations
Georgii Oblapenko, Michael Herty, Manuel Torrilhon
In the present work, we study the properties of the sparse entropic quadrature method, a recently proposed method for the closure of systems of moment equations in rarefied gas dyn…
Moment-preserving particle merging via non-negative least squares
Georgii Oblapenko, Manuel Torrilhon
A novel particle merging algorithm for rarefied gas dynamics simulations is proposed that can conserve arbitrary velocity and spatial moments of the particle distribution via solvi…
Volume Term Adaptivity for Discontinuous Galerkin Schemes
Daniel Doehring, Jesse Chan, Hendrik Ranocha +3
We introduce the concept of volume term adaptivity for high-order discontinuous Galerkin (DG) schemes solving time-dependent partial differential equations. Termed v-adaptivity, we…
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…
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,…
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…
On Nonlinear Closures for Moment Equations Based on Orthogonal Polynomials
Eda Yilmaz, Georgii Oblapenko, Manuel Torrilhon
In the present work, an approach to the moment closure problem on the basis of orthogonal polynomials derived from Gram matrices is proposed. Its properties are studied in the cont…