Physical review. E, Statistical, nonlinear, andâ€¦

2001

Lattice Boltzmann equations (LBE) are a useful tool for simulating the incompressible Navier-Stokes equations. However, LBE actually simulate a compressible but usually isothermal fluid at some smallâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2002

Lattice Boltzmann equations for the isothermal Navier-Stokes equations have been constructed systematically using a truncated moment expansion of the equilibrium distribution function from continuumâ€¦ (More)

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 suppressâ€¦ (More)

This paper derives a set of two dimensional equations describing a thin inviscid fluid layer flowing over topography in a frame rotating about an arbitrary axis. These equations retain various termsâ€¦ (More)

â€“ A previously proposed thermohydrodynamic lattice BGK scheme using nonperturbative, or non-polynomial, equilibria is found to simulate continuum equations that differ from the Euler equations of gasâ€¦ (More)

Equilibria for the common two-dimensional, nine-velocity (D2Q9) lattice Boltzmann equation are not uniquely determined by the Navierâ€“Stokes equations. An otherwise undetermined function must beâ€¦ (More)

We study Landau damping in the 1+1D Vlasovâ€“Poisson system using a Fourierâ€“Hermite spectral representation. We describe the propagation of free energy in Fourierâ€“Hermite phase space using forwards andâ€¦ (More)

The lattice Boltzmann space/time discretisation, as usually derived from integration along characteristics, is shown to correspond to a Strang splitting between decoupled streaming and collisionâ€¦ (More)

The vast majority of lattice Boltzmann algorithms produce a non-Galilean invariant viscous stress. This defect arises from the absence of a term in the third moment, the equilibrium heat flow tensor,â€¦ (More)