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Modeling of Chemical Reactions in Rarefied Gas Flows by the Kinetic Fokker-Planck Method

Basov, Leo and Grabe, Martin (2023) Modeling of Chemical Reactions in Rarefied Gas Flows by the Kinetic Fokker-Planck Method. In: SIAM Conference on Computational Science and Engineering (CSE23). SIAM Conference on Computational Science and Engineering (CSE23), 2023-02-26 - 2023-03-03, Amsterdam, Niederlande.

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Official URL: https://www.siam.org/conferences/cm/conference/cse23

Abstract

Flows encountered in space applications, like atmospheric reentry or thruster plume expansion and interactions, can be described by the well-known Boltzmann equation. A common approach to numerically solve it is the Direct Simulation Monte-Carlo (DSMC). The method is very efficient for high Knudsen numbers but becomes increasingly computationally intensive when approaching the continuum limit. In this regime the Boltzmann equation can be numerically solved using the recently proposed kinetic Fokker-Planck method which, like DSMC, relies on simulated particles to transport mass, momentum and energy through the flow domain, but does not resolve individual collisions. While this approach has been extended to mixtures and diatonic gases, the modeling of chemical reactions remains a research topic. Many problems arise from the fact that properties of the reactants need to be considered to evaluate a chemical reaction. This contradicts the Fokker-Planck approach that achieves its linear scaling in terms of particle numbers by forgoing the creation of interaction pairs. In this presentation we propose a novel approach to model chemical reactions in the Fokker-Planck framework which aims to conserve mass, energy and momentum while retaining the performance advantages in areas of high density.

Item URL in elib:https://elib.dlr.de/194345/
Document Type:Conference or Workshop Item (Speech)
Title:Modeling of Chemical Reactions in Rarefied Gas Flows by the Kinetic Fokker-Planck Method
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Basov, LeoUNSPECIFIEDhttps://orcid.org/0000-0003-4133-7876UNSPECIFIED
Grabe, MartinUNSPECIFIEDhttps://orcid.org/0000-0003-0361-2734UNSPECIFIED
Date:February 2023
Journal or Publication Title:SIAM Conference on Computational Science and Engineering (CSE23)
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Fokker-Planck, DSMC, Chemistry
Event Title:SIAM Conference on Computational Science and Engineering (CSE23)
Event Location:Amsterdam, Niederlande
Event Type:international Conference
Event Start Date:26 February 2023
Event End Date:3 March 2023
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 - Reusable Space Systems and Propulsion Technology
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Spacecraft, GO
Deposited By: Basov, Leo
Deposited On:05 Apr 2023 11:31
Last Modified:24 Apr 2024 20:55

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