Uniform Polynomial Equations Providing Higher-order Multi-dimensional Models in Lattice Boltzmann Theory

Details Uniform Polynomial Equations Providing Higher-order Multi-dimensional Models in Lattice Boltzmann Theory Uniform Polynomial Equations Providing Higher-order Multi-dimensional Models in Lattice Boltzmann Theory

2011-05-10

arxiv.org/abs/1105.1938v1

Physics

Mathematical Physics

Scientific paper

We present a set of polynomial equations that provides models of the lattice
Boltzmann theory for any required level of accuracy and for any dimensional
space in a general form. We explicitly derive two- and three-dimensional models
applicable to describe thermal compressible flows of the level of the
Navier-Stokes equations.

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