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Advances in the development of the Fokker-Planck method for simulation of rarefied gases

Basov, Leo und Grabe, Martin (2022) Advances in the development of the Fokker-Planck method for simulation of rarefied gases. In: 32nd International Symposium on Rarefied Gas Dynamics 2022. 32nd International Symposium on Rarefied Gas Dynamics, 2022-07-04 - 2022-07-08, Seoul, Republic of Korea.

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Offizielle URL: http://www.rgd32.org/

Kurzfassung

Flows encountered in space applications, like atmospheric reentry or jet plume interactions, are characterized by a wide range of the Knudsen number. The well-known Boltzmann equation describes the evolution of a distribution function f in such rarefied flows due to intermolecular collisions: A common approach to numerically solve Eq. (1) is the Direct Simulation Monte-Carlo (DSMC) method pioneered by Bird [1]. The method is very efficient for high Knudsen numbers but becomes computationally intensive when approaching the continuum limit. Approximations of the collision operator S Boltz in Eq. (1) can greatly reduce this computational cost. One such approximation is the Fokker-Planck collision operator S FP [2]: where the drift coefficient A i and the diffusion coefficient D of Eq. (2) are model parameters chosen in such a way that moments calculated using the Boltzmann collision operator are reproduced in the continuum limit. The resulting Fokker-Planck equation can be solved through stochastic motion which in turn can be modelled using a particle method. Due to the similarity in their formulation a hybrid method based on DSMC and FP can be derived which allows the computationally efficient simulation of flows with a broad range of Knudsen numbers [3]. For the application of the FP model to engineering problems the simulation of complex gases and gas mixtures must be possible. The FP model has been extended from monatomic to diatomic gas for single species [4, 5] as well as for mixtures [6, 7]. However, the extension of the model to polyatomic gases for single and multispecies applications is still a research topic. This paper discusses how the recently developed FP models for diatomic gases can be extended to allow modeling of polyatomic molecules using the Master-equation ansatz. We further point out why the current multi-species formulations [6, 7] do not contain the special case of a single-species gas [8] and propose modifications to establish consistency.

elib-URL des Eintrags:https://elib.dlr.de/186892/
Dokumentart:Konferenzbeitrag (Vortrag)
Titel:Advances in the development of the Fokker-Planck method for simulation of rarefied gases
Autoren:
AutorenInstitution oder E-Mail-AdresseAutoren-ORCID-iDORCID Put Code
Basov, Leoleo.basov (at) dlr.dehttps://orcid.org/0000-0003-4133-7876NICHT SPEZIFIZIERT
Grabe, MartinMartin.Grabe (at) dlr.dehttps://orcid.org/0000-0003-0361-2734NICHT SPEZIFIZIERT
Datum:Juli 2022
Erschienen in:32nd International Symposium on Rarefied Gas Dynamics 2022
Referierte Publikation:Ja
Open Access:Nein
Gold Open Access:Nein
In SCOPUS:Nein
In ISI Web of Science:Nein
Herausgeber:
HerausgeberInstitution und/oder E-Mail-Adresse der HerausgeberHerausgeber-ORCID-iDORCID Put Code
NICHT SPEZIFIZIERTRGDNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Status:veröffentlicht
Stichwörter:Fokker-Planck, rarefied flow, Boltzmann equation, multi species
Veranstaltungstitel:32nd International Symposium on Rarefied Gas Dynamics
Veranstaltungsort:Seoul, Republic of Korea
Veranstaltungsart:internationale Konferenz
Veranstaltungsbeginn:4 Juli 2022
Veranstaltungsende:8 Juli 2022
Veranstalter :RGD
HGF - Forschungsbereich:Luftfahrt, Raumfahrt und Verkehr
HGF - Programm:Raumfahrt
HGF - Programmthema:Raumtransport
DLR - Schwerpunkt:Raumfahrt
DLR - Forschungsgebiet:R RP - Raumtransport
DLR - Teilgebiet (Projekt, Vorhaben):R - Wiederverwendbare Raumfahrtsysteme und Antriebstechnologie
Standort: Göttingen
Institute & Einrichtungen:Institut für Aerodynamik und Strömungstechnik > Raumfahrzeuge, GO
Hinterlegt von: Basov, Leo
Hinterlegt am:18 Aug 2022 17:45
Letzte Änderung:24 Apr 2024 20:48

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