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On the construction of discrete equilibrium distributions for kinetic schemes

Michael Junk

2022Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology)36 citationsDOIOpen Access PDF

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.

Topics & Concepts

Kinetic energyLattice Boltzmann methodsMathematicsApplied mathematicsStatistical physicsCompressibilitySet (abstract data type)Boltzmann constantKinetic theoryMathematical optimizationComputer sciencePhysicsClassical mechanicsThermodynamicsProgramming languageLattice Boltzmann Simulation StudiesFluid Dynamics and Turbulent FlowsComputational Fluid Dynamics and Aerodynamics