Simulation of saltwater-freshwater interface motion

A mathematical model is presented which describes the saltwater-freshwater motion with a sharp interface, assuming the validity of the Dupuit approximation. This model is used as a basis for deriving a numerical model (finite-difference method) which is unconditionally convergent and stable. A metho...

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Bibliographic Details
Published in:Water resources research 1983-01, Vol.19 (1), p.61-68
Main Authors: Polo, Jose Ferrer, Ramis, Francisco JRamos
Format: Article
Language:English
Online Access:Get full text
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Summary:A mathematical model is presented which describes the saltwater-freshwater motion with a sharp interface, assuming the validity of the Dupuit approximation. This model is used as a basis for deriving a numerical model (finite-difference method) which is unconditionally convergent and stable. A method for solving the equations is selected together with a convergence accelerating procedure. The treatment of the boundary conditions in the interface is discussed, and a general and automatic solution for that problem is presented. Several tests with analytical solutions were performed with good results.
ISSN:0043-1397