TY - GEN
T1 - Computation of Hypersonic Turbulent and Transitional Flows Using an Extended Gas-Kinetic Scheme
AU - Liu, Hualin
AU - Agarwal, R. K.
AU - Chen, Weifang
N1 - Funding Information:
This research was funded by the National Numerical Wind Tunnel Project Grants (NNW2019ZT3-A08 and NNW2018-ZT1B01), and National Natural Science Foundation of China (Grants 6162790014 and 12002306).
Publisher Copyright:
© 2022, American Institute of Aeronautics and Astronautics Inc.. All rights reserved.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85123413242&partnerID=8YFLogxK
U2 - 10.2514/6.2022-1050
DO - 10.2514/6.2022-1050
M3 - Conference contribution
AN - SCOPUS:85123413242
SN - 9781624106316
T3 - AIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022
BT - AIAA SciTech Forum 2022
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
T2 - AIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022
Y2 - 3 January 2022 through 7 January 2022
ER -