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Abstract

Abstract. Mathematics From Fluids - A review of Gauss' Theorem. The successful use Computational Fluid Dynamic software such as Flexpde5 to model complex flow problems requires an appreciation of three dimensional field theory and in particular of Gauss' theorem.

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Abstract

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Presentation Transcript

  1. Abstract Mathematics From Fluids • - A review of Gauss' Theorem The successful use Computational Fluid Dynamic software such as Flexpde5 to model complex flow problems requires an appreciation of three dimensional field theory and in particular of Gauss' theorem. Traditionally, Gauss' theorem has been derived mathematically from a consideration of a general three dimensional field. The aim of this seminar is to explore an alternative "Fluid Mechanics" approach to teaching Gauss' Theorem in which a consideration of the well known principle due to Archimedes provides the context. Once established, the approach can be readily adapted to the application of the conservation laws of mass and momentum to fluid flows as well as to a derivation of the well known Navier–Stokes equations.

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