1 citations · 1 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
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…