Asher Yahalom
Ariel University, Israel
Title: A finite element approach derived from the simplified variational principle
Biography
Biography: Asher Yahalom
Abstract
In previous papers, 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. In a recent paper, Yahalom & Lynden-Bell described 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 were introduced. This is less than the four variables which appear in the standard equations of fluid dynamics which are the velocity field 
and the density ρ. Here we suggest a finite element approach to solve the reduced equations.
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