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Hierarchical moment closure approximation of the Boltzmann equation

MA Malik, E. H. van Brummelen

Abstract

This work discusses the application of the moment method to a generic form of kinetic equations, given by the Boltzmann equation, to simplify kinetic models of particle systems. Implicit to the method of moments is an approximation of moment closure relations to close the system of equations. The main aim is to explore the opportunities, pertaining to goal-oriented adaptive modeling, presented by the hierarchical structure of moment-closure systems.

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Available abstract

Key concepts: Moment closure, Moment (physics), Closure (psychology), Boltzmann equation, Mathematics, Particle system, Statistical physics, Work (physics)