CFD methods derived from simplified variational principles

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Abstract

In previous papers1-4 we have described how by minimizing the fluid action numerically one can obtain a solution of the fluid steady state equations. The action which was used was the four function action of Seliger & Whitham.5 In a recent paper6 we describe how one can improve upon previous art by reducing the number of variables in the action. Three independent functions variational formalism for stationary and non-stationary barotropic flows is introduced. This is less than the four variables which appear in the standard equations of fluid dynamics which are the velocity field v→ and the density ρ. In this paper we will discuss some issues related to the usage of the new action principles as basis for CFD algorithms.

Original languageEnglish
Title of host publicationCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
Pages3828-3844
Number of pages17
StatePublished - 2007
Event45th AIAA Aerospace Sciences Meeting 2007 - Reno, NV, United States
Duration: 8 Jan 200711 Jan 2007

Publication series

NameCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
Volume6

Conference

Conference45th AIAA Aerospace Sciences Meeting 2007
Country/TerritoryUnited States
CityReno, NV
Period8/01/0711/01/07

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