Computation of Hypersonic Turbulent and Transitional Flows Using an Extended Gas-Kinetic Scheme

Hualin Liu, R. K. Agarwal, Weifang Chen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In this paper, an extended Gas-Kinetic Scheme (GKS) is developed to predict the hypersonic turbulent and transitional flows. By using an extended Maxwellian distribution function together with a BGK-type equation, the extended GKS method is obtained. The main innovation is the addition of the turbulent kinetic energy term into the gas distribution function. To be specific, the turbulent kinetic energy term is treated similar to an internal energy term and is added to the Maxwellian distribution function. This allows the current GKS scheme to couple the molecular motion of the gas with its turbulent kinetic energy in one probability density function. GKS is coupled with turbulent kinetic energy (TKE) equation in SST k-ω turbulence model to compute hypersonic turbulent flows and with the TKE equation in Langtry-Menter four equations SST k – ω-γ-Reθ transition model for computing hypersonic transitional flows. In order to demonstrate the high accuracy and numerical stability of the proposed method, several hypersonic turbulent and transitional flow cases are computed. The results from the current method are compared with the standard finite-volume solutions of Reynolds-Averaged Navier-Stokes (RANS) equations and experimental data; an excellent agreement between the current method and experimental data is obtained.

Original languageEnglish
Title of host publicationAIAA SciTech Forum 2022
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624106316
DOIs
StatePublished - 2022
EventAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022 - San Diego, United States
Duration: Jan 3 2022Jan 7 2022

Publication series

NameAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022

Conference

ConferenceAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022
Country/TerritoryUnited States
CitySan Diego
Period01/3/2201/7/22

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