TY - JOUR
T1 - Extension of a hybrid thermal LBE scheme for large-eddy simulations of turbulent convective flows
AU - van Treeck, Christoph
AU - Rank, Ernst
AU - Krafczyk, Manfred
AU - Tölke, Jonas
AU - Nachtwey, Björn
N1 - Funding Information:
CvT would like to thank Pierre Lallemand for valuable discussions. The first two authors are grateful to the Bayerische Forschungsstiftung (Bavarian Research Foundation, http://www.forschungsstiftung.de ) for financial support. Results presented in this paper are part of the research project SIMFAS, which aims at coupling building energy simulation with CFD methods.
PY - 2006/9
Y1 - 2006/9
N2 - Following the work of Lallemand and Luo [Lallemand P, Luo L-S. Theory of the lattice Boltzmann method: acoustic and thermal properties in two and three dimensions. Phys Rev E 2003;68:036706] we validate, apply and extend the hybrid thermal lattice Boltzmann scheme (HTLBE) by a large-eddy approach to simulate turbulent convective flows. For the mass and momentum equations, a multiple-relaxation-time LBE scheme is used while the heat equation is solved numerically by a finite difference scheme. We extend the hybrid model by a Smagorinsky subgrid scale model for both the fluid flow and the heat flux. Validation studies are presented for laminar and turbulent natural convection in a cavity at various Rayleigh numbers up to 5 × 1010 for Pr = 0.71 using a serial code in 2D and a parallel code in 3D, respectively. Correlations of the Nusselt number are discussed and compared to benchmark data. As an application we simulated forced convection in a building with inner courtyard at Re = 50 000.
AB - Following the work of Lallemand and Luo [Lallemand P, Luo L-S. Theory of the lattice Boltzmann method: acoustic and thermal properties in two and three dimensions. Phys Rev E 2003;68:036706] we validate, apply and extend the hybrid thermal lattice Boltzmann scheme (HTLBE) by a large-eddy approach to simulate turbulent convective flows. For the mass and momentum equations, a multiple-relaxation-time LBE scheme is used while the heat equation is solved numerically by a finite difference scheme. We extend the hybrid model by a Smagorinsky subgrid scale model for both the fluid flow and the heat flux. Validation studies are presented for laminar and turbulent natural convection in a cavity at various Rayleigh numbers up to 5 × 1010 for Pr = 0.71 using a serial code in 2D and a parallel code in 3D, respectively. Correlations of the Nusselt number are discussed and compared to benchmark data. As an application we simulated forced convection in a building with inner courtyard at Re = 50 000.
UR - http://www.scopus.com/inward/record.url?scp=33646767462&partnerID=8YFLogxK
U2 - 10.1016/j.compfluid.2005.03.006
DO - 10.1016/j.compfluid.2005.03.006
M3 - Article
AN - SCOPUS:33646767462
SN - 0045-7930
VL - 35
SP - 863
EP - 871
JO - Computers and Fluids
JF - Computers and Fluids
IS - 8-9
ER -