Comparison between isothermal collision-streaming and finite-difference lattice Boltzmann models
Abstract
We present here a comparison between collision-streaming and finite-difference lattice Boltzmann (LB) models. This study provides a derivation of useful formulae which help one to properly compare the simulation results obtained with both LB models. We consider three physical problems: the shock wave propagation, the damping of shear waves, and the decay of Taylor-Green vortices, often used as benchmark tests. Despite the different mathematical and computational complexity of the two methods, we show how the physical results can be related to obtain relevant quantities.
- Publication:
-
International Journal of Modern Physics C
- Pub Date:
- 2019
- DOI:
- 10.1142/S0129183119410055
- arXiv:
- arXiv:1904.02471
- Bibcode:
- 2019IJMPC..3041005N
- Keywords:
-
- Lattice Boltzmann models;
- finite-difference;
- collision-streaming;
- viscosity;
- 47.11.–j;
- 05.70.Ln;
- 51.10.+y;
- Nonequilibrium and irreversible thermodynamics;
- Kinetic and transport theory of gases;
- Physics - Computational Physics
- E-Print:
- International Journal of Modern Physics C Vol. 30, No. 10, 1941005 (2019)