… This paper compares in detail the lattice Boltzmann method and an isothermal Navier–Stokes
method. It is found that these two methods are closely related to each other. Both methods …

… However, it is practically impossible to maintain a constant density in lattice Boltzmann
models. Theoretically the lattice Boltzmann equation always simulates the compressible Navier-…

… We consider a stationary unidirectional solution to the Navier-Stokes and energy equations
supplemented with additional terms in the momentum and energy equations. In the energy …

… the equilibrium, the LB model corresponds to or recovers the Navier–Stokes equations. When
… taken into account, the LB model is beyond the Navier– Stokes description. The theoretical …

… lattice Boltzmann (SLLBM) solver for compressible flows. In contrast to other LBM for compressible
… recover the compressible Fourier-Navier-Stokes equations in the hydrodynamic limit […

… This construction of the set S ensures the recovery of the Navier-Stokes equations from
the lattice Boltzmann equation with any relaxation time 1/2. But S is not practical to handle in …

… add an artificial viscosity to the lattice Boltzmann equation to reduce the numerical oscillations
… to the MS model. This new DDF model recovers the full compressible Navier–Stokes (NS) …

… lattice Boltzmann model (LBM) that covers the entire range of fluid flows, from low Mach
weakly compressible … One of the most restrictive limitations of the lattice Boltzmann method, the …

… moment system necessary to recover the compressible Fourier–Navier–Stokes equations.
Early attempts to introduce higher-order lattices were based on a discretization the Maxwell–…

… a new lattice Boltzmann model that gives the solutions of the compressible Euler equations
(… It is noted here that the compressible Navier-Stokes (NS) equations are not necessary for …