4 papers · 1 filter
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…
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…
Entropy-conservative high-order methods for high-enthalpy gas flows
Georgii Oblapenko, Manuel Torrilhon
A framework for numerical evaluation of entropy-conservative volume fluxes in gas flows with internal energies is developed, for use with high-order discretization methods. The nov…