Zobrazeno 1 - 10
of 290
pro vyhledávání: '"Torrilhon, Manuel"'
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 kinetic energy-preserving flux function is proposed which allows for use o
Externí odkaz:
http://arxiv.org/abs/2411.13168
Autor:
Doehring, Daniel, Christmann, Lars, Schlottke-Lakemper, Michael, Gassner, Gregor J., Torrilhon, Manuel
In this paper, we extend the Paired-Explicit Runge-Kutta schemes by Vermeire et. al. to fourth-order of consistency. Based on the order conditions for partitioned Runge-Kutta methods we motivate a specific form of the Butcher arrays which leads to a
Externí odkaz:
http://arxiv.org/abs/2408.05470
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 context of the moment closure problem arising in gas kinetic theory, for w
Externí odkaz:
http://arxiv.org/abs/2407.05894
The accurate prediction of occurrence and strength of kinetic instabilities in plasmas remains a significant challenge in nuclear fusion research. To accurately capture the plasmas dynamics one is required to solve the Vlasov equation for several spe
Externí odkaz:
http://arxiv.org/abs/2404.18549
Autor:
Oblapenko, Georgii, Torrilhon, Manuel
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 novelty of the approach lies in the ability to use arbitrary expressions
Externí odkaz:
http://arxiv.org/abs/2403.16882
In this paper, we apply the Paired-Explicit Runge-Kutta (P-ERK) schemes by Vermeire et. al. (2019, 2022) to dynamically partitioned systems arising from adaptive mesh refinement. The P-ERK schemes enable multirate time-integration with no changes in
Externí odkaz:
http://arxiv.org/abs/2403.05144
A novel optimization procedure for the generation of stability polynomials of stabilized explicit Runge-Kutta methods is devised. Intended for semidiscretizations of hyperbolic partial differential equations, the herein developed approach allows the
Externí odkaz:
http://arxiv.org/abs/2402.12140
Publikováno v:
Journal of Computational Physics, Volume 418, 2020, 109644
Maximum-Entropy Distributions offer an attractive family of probability densities suitable for moment closure problems. Yet finding the Lagrange multipliers which parametrize these distributions, turns out to be a computational bottleneck for practic
Externí odkaz:
http://arxiv.org/abs/2308.06149
We develop the steady-state regularized 13-moment equations in the linear regime for rarefied gas dynamics with general collision models. For small Knudsen numbers, the model is accurate up to the super-Burnett order, and the resulting system of mome
Externí odkaz:
http://arxiv.org/abs/2303.07314
A jump-diffusion process along with a particle scheme is devised as an accurate and efficient particle solution to the Boltzmann equation. The proposed process (hereafter Gamma-Boltzmann model) is devised to match the evolution of all moments up to t
Externí odkaz:
http://arxiv.org/abs/2112.08362