From the Boltzmann equation to fluid mechanics on a manifold

Abstract

We apply the Chapman-Enskog procedure to derive hydrodynamic equations on an arbitrary surface from the Boltzmann equation on the surface.

References in corpus (3)

• Lattice-gas simulations of dynamical geometry in one dimension
• Lattice gas simulations of dynamical geometry in two dimensions
• On the dependence of the Navier Stokes equations on the distribution of moleular velocities

Cited by in corpus (4)

• Non-relativistic transport from frame-indifferent kinetic theory
• Volumetric Lattice Boltzmann Models in General Curvilinear Coordinates: Theoretical Formulation
• On triangular lattice Boltzmann schemes for scalar problems
• Interface dynamics of immiscible two-phase lattice-gas cellular automata: A model with random dynamic scatterers and quenched disorder in two dimensions