Abstract: "The application of an adaptive grid method is discussed for a mathematical model for unsteady flow, coupled with transport of brine in porous media with inhomogeneities in two space dimensions. When the concentration of salt is large, the salt concentration profile in brine transport...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Trompert, Ron A. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Amsterdam 1992,24
Schriftenreihe:	Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1992,24
Schlagworte:	Differential equations, Partial
Zusammenfassung:	Abstract: "The application of an adaptive grid method is discussed for a mathematical model for unsteady flow, coupled with transport of brine in porous media with inhomogeneities in two space dimensions. When the concentration of salt is large, the salt concentration profile in brine transport problems can show locally large gradients in space and in time. For this reason we have chosen an adaptive grid method to solve these problems. We consider a method based on local uniform grid refinement, where integration takes place on a series of nested, local uniform finer and finer subgrids. These subgrids are created up to a level of refinement where sufficient spatial accuracy is reached and their location and shape is adjusted after each time step The space domain is considered to be a rectangle and all grids in use are uniform and cartesian. The interfaces, caused by the inhomogeneities, are assumed to coincide with cell edges in the numerical approximation. Special conditions are applied here, connecting the solutions on both sides of the interface. These interface conditions involve continuity of fluxes across the interfaces. The mesh refinement process and the variable time stepsizes are controlled by heuristic error monitors. The performance of the method is illustrated by two example problems.
Beschreibung:	30 S.