8 papers
Sparse and low-rank kinetic distribution estimation
Georgii Oblapenko, Lambert Theisen, Rostislav-Paul Wilhelm +2
In this paper, we consider methods that allow for memory-efficient storage of high-dimensional distributions and retain certain key features thereof, specifically in a kinetic theo…
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…
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…
Modeling of Chemical Reactions in Rarefied Gas Flows by the Kinetic Fokker-Planck Method
Leo Basov, Georgii Oblapenko, Martin Grabe
We propose a novel approach for modeling chemical reactions within the particle-based Fokker-Planck framework for gas flow simulations which conserves mass, momentum, and energy wh…
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…
A Non-Negative Least Squares-based Approach for Moment-Preserving Particle Merging
Georgii Oblapenko
In the present work, a novel particle merging scheme is proposed for PIC-DSMC simulations, based on the solution of a Non-negative Least Squares problem. The merging algorithm cons…