Caricature of hydrodynamics for lattice dynamics

Fast lattice Boltzmann solver for relativistic hydrodynamics.

A lattice Boltzmann formulation for relativistic fluids is presented and numerically validated through quantitative comparison with recent hydrodynamic simulations of relativistic fluids. In order to illustrate its capability to handle complex geometries, the scheme is also applied to the case of a three-dimensional relativistic shock wave, generated by a supernova explosion, impacting on a mas...

Lattice Boltzmann simulations of liquid crystal hydrodynamics.

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be considered. Backflow effects and the hydrodynamics of topological defects are naturally included in the simulations, as are non-Newtonian flow properties such as shear thinning an...

Exact Hydrodynamics of the Lattice BGK Equation

We apply the projection operator formalism to the problem of determining the asymptotic behavior of the lattice BGK equation in the hydrodynamic limit. As an alternative to the more usual Chapman-Enskog expansion, this approach offers many benefits. Most remarkably, it produces absolutely exact, though non-Markovian, hydrodynamic difference equations as an intermediate step. These are accurate ...

Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics

M. Mendoza, ∗ B. M. Boghosian, † H. J. Herrmann, ‡ and S. Succi § 1 ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Schafmattstrasse 6, HIF, CH-8093 Zürich (Switzerland) Bromfield-Pearson, Medford, Massachusetts 02155, Department of Mathematics, Tufts University Istituto per le Applicazioni del Calcolo C.N.R., Via dei Taurini, 19 00185, Rome (Italy...

A Definition of Caricature and Caricature and Recognition