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Assessment of the cubic Fokker-Planck-DSMC hybrid method for hypersonic rarefied flows past a cylinder

Jun, Eunji and Gorji, M. Hossein and Grabe, Martin and Hannemann, Klaus (2018) Assessment of the cubic Fokker-Planck-DSMC hybrid method for hypersonic rarefied flows past a cylinder. Computers & Fluids, 168, pp. 1-13. Elsevier. DOI: 10.1016/j.compfluid.2018.03.059 ISSN 0045-7930

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Hypersonic vehicles experience a wide range of Knudsen number regimes due to changes in atmospheric density. The Direct Simulation Monte Carlo (DSMC) method is physically accurate for all flow regimes, however it is relatively computationally expensive in high density, and low Knudsen number regions. Recent advances in the Fokker-Planck (FP) kinetic models have addressed this issue by approximating the particle collisions involved in the Boltzmann collision integral with continuous stochastic processes. Furthermore, a coupled FP-DSMC solution method has been devised aiming at a universally effic ient yet accurate solution algorithm for rarefied gas flows. Well known Lofthouse case of a generic hypersonic flow about a cylinder (Mach 10, Kn 0.01, Argon) is selected to investigate the performance of a hybrid FP-DSMC implementation. The effect of molecular potential on the accuracy of the scheme is mainly analyzed. Furthermore, spatial resolution of cubic FP scheme is studied. Finally, detailed study of accuracy and efficiency of FP-DSMC hybrid scheme is discussed. It is found that the presented adaptive grid together with the FP-DSMC method results in a factor of six speed up for considered hypersonic flow about a cylinder.

Item URL in elib:https://elib.dlr.de/119792/
Document Type:Article
Title:Assessment of the cubic Fokker-Planck-DSMC hybrid method for hypersonic rarefied flows past a cylinder
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Jun, Eunjieunji.jun (at) dlr.deUNSPECIFIED
Gorji, M. Hosseingorji (at) mathcces.rwth-aachen.deUNSPECIFIED
Grabe, MartinMartin.Grabe (at) dlr.deUNSPECIFIED
Hannemann, KlausKlaus.Hannemann (at) dlr.deUNSPECIFIED
Date:20 March 2018
Journal or Publication Title:Computers & Fluids
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1016/j.compfluid.2018.03.059
Page Range:pp. 1-13
Keywords:Hypersonic rarefied flow, Multiscale flow, DSMC, Fokker-Planck, Hybrid, SPARTA
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Transport
DLR - Research area:Raumfahrt
DLR - Program:R RP - Raumtransport
DLR - Research theme (Project):R - Wiederverwendbare Raumfahrtsysteme und Antriebstechnologie
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Spacecraft, GO
Deposited By: Grabe, Martin
Deposited On:09 May 2018 15:11
Last Modified:06 Sep 2019 15:18

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