Stability analysis of lattice Boltzmann methods
Journal of Computational Physics
Matrix computations (3rd ed.)
Performance of under-resolved two-dimensional incompressible flow simulations, II
Journal of Computational Physics
A novel thermal model for the lattice Boltzmann method in incompressible limit
Journal of Computational Physics
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
Lattice Boltzmann method with regularized pre-collision distribution functions
Mathematics and Computers in Simulation - Special issue: Discrete simulation of fluid dynamics in complex systems
An interpretation and derivation of the lattice Boltzmann method using Strang splitting
Computers & Mathematics with Applications
Lattice Boltzmann simulations of thermal convective flows in two dimensions
Computers & Mathematics with Applications
Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices
Journal of Computational Physics
| Hi-index | 31.46 |
Lattice Boltzmann equations using multiple relaxation times are intended to be more stable than those using a single relaxation time. The additional relaxation times may be adjusted to suppress non-hydrodynamic modes that do not appear directly in the continuum equations, but may contribute to instabilities on the grid scale. If these relaxation times are fixed in lattice units, as in previous work, solutions computed on a given lattice are found to diverge in the incompressible (small Mach number) limit. This non-existence of an incompressible limit is analysed for an inclined one dimensional jet. An incompressible limit does exist if the non-hydrodynamic relaxation times are not fixed, but scaled by the Mach number in the same way as the hydrodynamic relaxation time that determines the viscosity.