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Master equation approach for modeling diatomic gas flows with a kinetic Fokker-Planck algorithm

Hepp, Christian and Grabe, Martin and Hannemann, Klaus (2020) Master equation approach for modeling diatomic gas flows with a kinetic Fokker-Planck algorithm. Journal of Computational Physics, 418 (109638). Elsevier. doi: 10.1016/j.jcp.2020.109638. ISSN 0021-9991.

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Official URL: https://www.sciencedirect.com/science/article/pii/S0021999120304125


In recent years the kinetic Fokker-Planck approach for modeling gas flows has become increasingly popular. In the Fokker-Planck ansatz the collision integral of the Boltzmann equation is approximated by a Fokker-Planck operator in velocity space. Instead of solving the resulting Fokker-Planck equation directly, the underlying random process is modeled, which leads to an efficient stochastic solution algorithm. Despite the attention to the Fokker-Planck ansatz, the modeling of polyatomic gases has been addressed only in a few works. In this paper a scheme is presented to extend arbitrary monatomic Fokker-Planck models to model polyatomic species. A master equation approach is used to model internal energy relaxation, but instead of solving the master equation directly, the underlying random process is simulated. Three different models are suggested to describe internal particle energies as continuous scalars or as a set of discrete energy levels. The proposed models are applied on different test cases to demonstrate their accuracy. Within the bounds of expectations, a very good agreement with reference DSMC simulations is achieved.

Item URL in elib:https://elib.dlr.de/138576/
Document Type:Article
Title:Master equation approach for modeling diatomic gas flows with a kinetic Fokker-Planck algorithm
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Hepp, ChristianUNSPECIFIEDhttps://orcid.org/0000-0001-8465-9926UNSPECIFIED
Grabe, MartinUNSPECIFIEDhttps://orcid.org/0000-0003-0361-2734UNSPECIFIED
Hannemann, KlausUNSPECIFIEDhttps://orcid.org/0000-0002-9653-4087UNSPECIFIED
Date:1 October 2020
Journal or Publication Title:Journal of Computational Physics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
EditorsEmailEditor's ORCID iDORCID Put Code
Keywords:Rarefied gas flows; Fokker-Planck equation; Master equation; DSMC; Kinetic models; Diatomic gas
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Transportation
DLR - Research area:Raumfahrt
DLR - Program:R RP - Space Transportation
DLR - Research theme (Project):R - Wiederverwendbare Raumfahrtsysteme (old)
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Spacecraft, GO
Deposited By: Grabe, Dr. Martin
Deposited On:15 Dec 2020 22:24
Last Modified:23 Oct 2023 13:57

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