Recovering the full Navier Stokes equations with lattice Boltzmann schemes
For researchers in computational fluid dynamics, this work provides a stable lattice Boltzmann formulation for thermal flows, though it is an incremental extension of existing methods.
The paper presents a lattice Boltzmann scheme with two particle distributions for thermal Navier Stokes equations, using linear stability to couple dissipation coefficients, and demonstrates accurate results for 1D nonlinear acoustic waves with shocks.
We consider multi relaxation times lattice Boltzmann scheme with two particle distributions for the thermal Navier Stokes equations formulated with conservation of mass and momentum and dissipation of volumic entropy.Linear stability is taken into consideration to determine a coupling between two coefficients of dissipation.We present interesting numerical results for one-dimensional strong nonlinear acoustic waves with shocks.