Recovery of Galilean invariance in thermal lattice Boltzmann models for arbitrary Prandtl number
2014 ◽
Vol 25
(10)
◽
pp. 1450046
◽
Keyword(s):
In this paper, we demonstrate a set of fundamental conditions required for the formulation of a thermohydrodynamic lattice Boltzmann model at an arbitrary Prandtl number. A specific collision operator form is then proposed that is in compliance with these conditions. It admits two independent relaxation times, one for viscosity and another for thermal conductivity. But more importantly, the resulting thermohydrodynamic equations based on such a collision operator form is theoretically shown to remove the well-known non-Galilean invariant artifact at nonunity Prandtl numbers in previous thermal lattice Boltzmann models with multiple relaxation times.
2019 ◽
Vol 30
(10)
◽
pp. 1941009
2015 ◽
Vol 17
(4)
◽
pp. 937-959
◽
2020 ◽
Vol 8
(1)
◽
pp. 81-91
◽
2019 ◽
Vol 195
◽
pp. 737-747
◽
2007 ◽
Vol 31
(7)
◽
pp. 620-627
2002 ◽
Vol 68
(672)
◽
pp. 2186-2194
◽
Keyword(s):
2008 ◽
Vol 19
(12)
◽
pp. 1847-1861
◽
2013 ◽
Vol 65
◽
pp. 374-380
◽
Keyword(s):