The essential role of kinetic theory in the numerical methods for the Navier‐Stokes equations (compressible and incompressible) is discussed. The easy theory of characteristics for kinetic equations brings about drastic simplification of approximate Riemann solver employed in various shock‐capturing schemes. The lattice Boltzmann method is shown to essentially solve an artificial compressibility PDE system. The asymptotic behavior of solution of kinetic equations for small mean free path does not play the essential role in these kinetic numerical methods.

On the essential role of kinetic theory in numerical methods for fluid-dynamic equations / Ohwada, T; Asinari, Pietro. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - 1084:(2009), pp. 401-408. (Intervento presentato al convegno 26th International Symposium on Rarefied Gas Dynamics tenutosi a Kyoto (JAP) nel 20–25 July 2008) [10.1063/1.3076511].

On the essential role of kinetic theory in numerical methods for fluid-dynamic equations

ASINARI, PIETRO
2009

Abstract

The essential role of kinetic theory in the numerical methods for the Navier‐Stokes equations (compressible and incompressible) is discussed. The easy theory of characteristics for kinetic equations brings about drastic simplification of approximate Riemann solver employed in various shock‐capturing schemes. The lattice Boltzmann method is shown to essentially solve an artificial compressibility PDE system. The asymptotic behavior of solution of kinetic equations for small mean free path does not play the essential role in these kinetic numerical methods.
2009
9780735406155
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1839414
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