Convection-diffusion lattice Boltzmann scheme for irregular lattices

Journal Article · Sat May 20 04:00:00 EDT 2000 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.2000.6491· OSTI ID:20067702

Ernst, M H

In this paper, a lattice Boltzmann (LB) scheme for convection diffusion on irregular lattices is presented, which is free of any interpolation or coarse graining step. The scheme is derived using the axioma that the velocity moments of the equilibrium distribution equal those of the Maxwell-Boltzmann distribution. The axioma holds for both Bravais and irregular lattices, implying a single framework for LB schemes for all lattice types. By solving benchmark problems the authors have shown that the scheme is indeed consistent with convection diffusion. Furthermore, they have compared the performance of the LB schemes with that of finite difference and finite element schemes. The comparison shows that the LB scheme has a similar performance as the one-step second-order Lax-Wendroff scheme: it has little numerical diffusion, but has a slight dispersion error. By changing the relaxation parameter {omega} the dispersion error can be balanced by a small increase of the numerical diffusion.

• Research Organization: Agrotechnological Research Inst., Wageningen (NL)
• OSTI ID: 20067702
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 160; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
BOLTZMANN EQUATION
CALCULATION METHODS
CONVECTION
DIFFUSION
MESH GENERATION