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On the construction of discrete equilibrium distributions for kinetic schemes

Michael Junk

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Abstract

A general approach to the construction of discrete equilibrium distributions is presented. Such distribution functions can be used to set up Kinetic Schemes as well as Lattice Boltzmann methods. The general principles are also applied to the construction of Chapman Enskog dis- tributions which are used in Kinetic Schemes for compressible Navier-Stokes equations.

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A general approach to the construction of discrete equilibrium distributions is presented. Such distribution functions can be used to set up Kinetic Schemes as well as Lattice Boltzmann methods. The general principles are also applied to the construction of Chapman Enskog dis- tributions which are used in Kinetic Schemes for compressible Navier-Stokes equations.

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Available abstract

A general approach to the construction of discrete equilibrium distributions is presented. Such distribution functions can be used to set up Kinetic Schemes as well as Lattice Boltzmann methods. The general principles are also applied to the construction of Chapman Enskog dis- tributions which are used in Kinetic Schemes for compressible Navier-Stokes equations.

Key concepts: Kinetic energy, Lattice Boltzmann methods, Mathematics, Applied mathematics, Statistical physics, Compressibility, Set (abstract data type), Boltzmann constant

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