TY - JOUR
T1 - Rayleigh-Bénard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit
AU - Xu, Kun
AU - Lui, Shiu Hong
PY - 1999
Y1 - 1999
N2 - In this paper, a gas-kinetic Bhatnagar-Gross-Krook (BGK) model is constructed for the Rayleigh-Bénard thermal convection in the incompressible flow limit, where the flow field and temperature field are described by two coupled BGK models. Since the collision times in the corresponding BGK models can be different, the Prandtl number can be changed to any value instead of a fixed [Formula Presented] in the original BGK model [P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954)]. The two-dimensional Rayleigh-Bénard thermal convection is studied and numerical results are compared with theoretical ones as well as other simulation results.
AB - In this paper, a gas-kinetic Bhatnagar-Gross-Krook (BGK) model is constructed for the Rayleigh-Bénard thermal convection in the incompressible flow limit, where the flow field and temperature field are described by two coupled BGK models. Since the collision times in the corresponding BGK models can be different, the Prandtl number can be changed to any value instead of a fixed [Formula Presented] in the original BGK model [P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954)]. The two-dimensional Rayleigh-Bénard thermal convection is studied and numerical results are compared with theoretical ones as well as other simulation results.
UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000081550900062
UR - https://openalex.org/W2033174334
UR - https://www.scopus.com/pages/publications/0037825687
U2 - 10.1103/PhysRevE.60.464
DO - 10.1103/PhysRevE.60.464
M3 - Journal Article
C2 - 11969784
SN - 1063-651X
VL - 60
SP - 464
EP - 470
JO - Physical Review E
JF - Physical Review E
IS - 1
ER -