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Cubic Fokker-Planck Method for Rarefied Monatomic Gas Flow through a Slit and an Orifice

Jun, Eunji and Grabe, Martin and Hannemann, Klaus (2018) Cubic Fokker-Planck Method for Rarefied Monatomic Gas Flow through a Slit and an Orifice. Computers & Fluids, 175, pp. 199-213. Elsevier. doi: 10.1016/j.compfluid.2018.08.028. ISSN 0045-7930.

Full text not available from this repository.

Official URL: https://doi.org/10.1016/j.compfluid.2018.08.028


The flow through a thin slit and a thin orifice is studied with the Direct Simulation Monte Carlo (DSMC), cubic Fokker-Planck (FP), and a coupled FP-DSMC hybrid method. Pressure driven monatomic gas flows through a slit and an orifice with various values of degree of rarefaction and pressure ratio are computed. The DSMC method is physically accurate for all flow regimes; however it is computationally expensive in high density, near continuum regions. An alternative stochastic particle scheme, the cubic FP kinetic model has addressed this issue by approximating the particle collisions involved in the Boltzmann collision integral with continuous stochastic processes. The ability of the cubic FP method to reproduce breakdown of translational equilibrium is discussed. In addition, a coupled FP-DSMC hybrid scheme is employed aiming at an efficient and accurate solution. The FP-DSMC hybrid scheme employs DSMC in rarefied regions and FP method in near continuum flow regions. Numerical procedures of the cubic FP method are implemented within the framework of an existing DSMC-solver, SPARTA. The FP-DSMC hybrid solution reproduces pure DSMC solution with improved computational efficiency up to a factor of eight for vacuum flow through a thin slit.

Item URL in elib:https://elib.dlr.de/121733/
Document Type:Article
Title:Cubic Fokker-Planck Method for Rarefied Monatomic Gas Flow through a Slit and an Orifice
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Grabe, MartinUNSPECIFIEDhttps://orcid.org/0000-0003-0361-2734UNSPECIFIED
Date:15 October 2018
Journal or Publication Title:Computers & Fluids
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 199-213
Series Name:Elsevier
Keywords:Rarefied Gas Dynamics, Vacuum Flows, DSMC, Fokker-Planck (FP), FP-DSMC Hybrid, SPARTA
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:14 Nov 2018 15:58
Last Modified:02 Nov 2023 09:45

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