A note on singularities caused by the hydrodynamic dispersion tensor:

Abstract: "In this paper we show that the equation, describing transport in a porous medium, is not uniquely defined in points of the domain where the velocity of the fluid is zero. This is due to the fact that the hydrodynamic dispersion tensor is defined as a not sufficiently differentiable f...

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Bibliographic Details
Main Author: Trompert, Ron A. (Author)
Format: Book
Language:English
Published: Amsterdam 1993
Series:Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1993,2
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Summary:Abstract: "In this paper we show that the equation, describing transport in a porous medium, is not uniquely defined in points of the domain where the velocity of the fluid is zero. This is due to the fact that the hydrodynamic dispersion tensor is defined as a not sufficiently differentiable function of the fluid velocity. The implications of this non-smoothness for the numerical simulation of fluid flow and transport in porous media will also be discussed."
Physical Description:6 S.

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