Application of a moving-grid method to a class of 1D brine transport problems in porous media:

Abstract: "The background of this paper is the study of transport of pollutants by groundwater flow when released from a repository in a rock salt formation. Flow in regions surrounding such formations may be strongly influenced by variations in salt concentrations, a factor requiring special a...

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Bibliographische Detailangaben
Hauptverfasser: Zegeling, P. A. (VerfasserIn), Verwer, Jan (VerfasserIn), Eijkeren, J. C. H. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Amsterdam 1991
Schriftenreihe:Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1991,12
Schlagworte:
Zusammenfassung:Abstract: "The background of this paper is the study of transport of pollutants by groundwater flow when released from a repository in a rock salt formation. Flow in regions surrounding such formations may be strongly influenced by variations in salt concentrations, a factor requiring special attention in the development of realistic mathematical models for predicting transport of pollutants. Indispensable for this development are advanced numerical methods. The aim of this paper is to illustrate the application of such a method to a class of nonlinear, brine transport problems in one space dimension. Our method is based on the method-of-lines for solving time-dependent partial differential equations
The method is of the finite-difference type, implicit, and thus applicable to wide classes of (one-space dimensional) partial differential equation systems. The main feature of the method, however, is that it can automatically move the spatial grid for evolving time and thus is able to refine the grid in regions with large spatial transitions. The grid refinement has proven to be a very valuable facility in the numerical modeling of brine transport problems involving low and high salt concentrations. From the user's point of view, an additional advantage of the moving-grid method is that is can be implemented in advanced, user- oriented method-of-lines software packages based on implicit stiff ODE solvers
In the brine transport application discussed here we have used the package SPRINT.
Beschreibung:26 S.

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