Gas-Kinetic Scheme Coupled with Turbulent Kinetic Energy Equation for Computing Hypersonic Turbulent and Transitional Flows

Hualin Liu; Guiyu Cao; Weifang Chen; Ramesh K. Agarwal; Wenwen Zhao

doi:10.1080/10618562.2021.1942860

Gas-Kinetic Scheme Coupled with Turbulent Kinetic Energy Equation for Computing Hypersonic Turbulent and Transitional Flows

Hualin Liu, Guiyu Cao, Weifang Chen, Ramesh K. Agarwal, Wenwen Zhao

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

For simulation of hypersonic turbulent and transitional flows at high Reynolds numbers, a gas-kinetic scheme (GKS) strongly coupled with the turbulent kinetic energy equation in shear stress transport (SST) k−ω turbulence model is developed. To extend the current method to transitional flows, Langtry-Menter (Formula presented.) transition model is added together with SST k−ω turbulence model. Comparisons among the numerical solutions from current GKS method coupled with turbulent kinetic energy equation, GKS method uncoupled with turbulent kinetic energy equation, Reynolds-Averaged Navier-Stokes (RANS) solutions with turbulence/transition models, and experimental data are conducted. It is concluded that the current method can significantly improve the accuracy of numerical results.

Original language	English
Pages (from-to)	319-330
Number of pages	12
Journal	International Journal of Computational Fluid Dynamics
Volume	35
Issue number	5
DOIs	https://doi.org/10.1080/10618562.2021.1942860
State	Published - 2021

Keywords

gas-kinetic scheme
Hypersonic flow
SST turbulence model
STBLI
transition model

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10.1080/10618562.2021.1942860

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@article{408cb73dd85e488aa7b99cebe50e2dfe,

title = "Gas-Kinetic Scheme Coupled with Turbulent Kinetic Energy Equation for Computing Hypersonic Turbulent and Transitional Flows",

abstract = "For simulation of hypersonic turbulent and transitional flows at high Reynolds numbers, a gas-kinetic scheme (GKS) strongly coupled with the turbulent kinetic energy equation in shear stress transport (SST) k−ω turbulence model is developed. To extend the current method to transitional flows, Langtry-Menter (Formula presented.) transition model is added together with SST k−ω turbulence model. Comparisons among the numerical solutions from current GKS method coupled with turbulent kinetic energy equation, GKS method uncoupled with turbulent kinetic energy equation, Reynolds-Averaged Navier-Stokes (RANS) solutions with turbulence/transition models, and experimental data are conducted. It is concluded that the current method can significantly improve the accuracy of numerical results.",

keywords = "gas-kinetic scheme, Hypersonic flow, SST turbulence model, STBLI, transition model",

author = "Hualin Liu and Guiyu Cao and Weifang Chen and Agarwal, {Ramesh K.} and Wenwen Zhao",

note = "Funding Information: This research was funded by National Numerical Wind Tunnel Project (grant nos. NNW2019ZT3-A08, NNW2018-ZT1B01) and National Natural Science Foundation of China (grant nos. 6162790014, 12002306). Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2021",

doi = "10.1080/10618562.2021.1942860",

language = "English",

volume = "35",

pages = "319--330",

journal = "International Journal of Computational Fluid Dynamics",

issn = "1061-8562",

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TY - JOUR

T1 - Gas-Kinetic Scheme Coupled with Turbulent Kinetic Energy Equation for Computing Hypersonic Turbulent and Transitional Flows

AU - Liu, Hualin

AU - Cao, Guiyu

AU - Chen, Weifang

AU - Agarwal, Ramesh K.

AU - Zhao, Wenwen

N1 - Funding Information: This research was funded by National Numerical Wind Tunnel Project (grant nos. NNW2019ZT3-A08, NNW2018-ZT1B01) and National Natural Science Foundation of China (grant nos. 6162790014, 12002306). Publisher Copyright: © 2021 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2021

Y1 - 2021

N2 - For simulation of hypersonic turbulent and transitional flows at high Reynolds numbers, a gas-kinetic scheme (GKS) strongly coupled with the turbulent kinetic energy equation in shear stress transport (SST) k−ω turbulence model is developed. To extend the current method to transitional flows, Langtry-Menter (Formula presented.) transition model is added together with SST k−ω turbulence model. Comparisons among the numerical solutions from current GKS method coupled with turbulent kinetic energy equation, GKS method uncoupled with turbulent kinetic energy equation, Reynolds-Averaged Navier-Stokes (RANS) solutions with turbulence/transition models, and experimental data are conducted. It is concluded that the current method can significantly improve the accuracy of numerical results.

AB - For simulation of hypersonic turbulent and transitional flows at high Reynolds numbers, a gas-kinetic scheme (GKS) strongly coupled with the turbulent kinetic energy equation in shear stress transport (SST) k−ω turbulence model is developed. To extend the current method to transitional flows, Langtry-Menter (Formula presented.) transition model is added together with SST k−ω turbulence model. Comparisons among the numerical solutions from current GKS method coupled with turbulent kinetic energy equation, GKS method uncoupled with turbulent kinetic energy equation, Reynolds-Averaged Navier-Stokes (RANS) solutions with turbulence/transition models, and experimental data are conducted. It is concluded that the current method can significantly improve the accuracy of numerical results.

KW - gas-kinetic scheme

KW - Hypersonic flow

KW - SST turbulence model

KW - STBLI

KW - transition model

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U2 - 10.1080/10618562.2021.1942860

DO - 10.1080/10618562.2021.1942860

M3 - Article

AN - SCOPUS:85110638630

SN - 1061-8562

VL - 35

SP - 319

EP - 330

JO - International Journal of Computational Fluid Dynamics

JF - International Journal of Computational Fluid Dynamics

IS - 5

ER -

Gas-Kinetic Scheme Coupled with Turbulent Kinetic Energy Equation for Computing Hypersonic Turbulent and Transitional Flows

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