Rühaak, W. ; Clauser, C. ; Wolf, A. ; Rath, V. (2006)
Finite-Volume Groundwater Modeling With Non-Orthogonal Grids, Using A Coordinate Transformation Method.
In: Proceedings of the conference Modflow and More 2006: Managing Ground-Water Systems. International Ground Water Modeling Center (IGWMC), May 22-24, Colorado School of Mines, Golden Colorado., 31 (3)
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Many popular groundwater modeling codes are based on the finite-differences or finite-volume method for orthogonal grids. In cases of complex subsurface geometries this type of grid leads either to coarse geometric representations or to extreme large meshes. We use a coordinate transformation method (CTM) to circumvent this shortcoming. In computational fluid dynamics (CFD), this method has been successfully applied to the general Navier-Stokes equation. The method is based on tensor analysis and performs a transformation of a curvilinear into a rectangular unit grid, on which a modified formulation of the differential equations is applied. Therefore it is not necessary to reformulate the code in total. We have applied the CTM to an existing three-dimensional code (SHEMAT), a simulator for heat conduction and advection in porous media. The finite-volume discretization scheme for the non-orthogonal hexahedral grid leads to a 19-point stencil and a corresponding banded system matrix. The implementation is straightforward and it is possible to use some existing routines without modification. The accuracy of the modified code was demonstrated on a two-dimensional analytical solution for coupled flow and heat transport.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2006 |
| Autor(en): | Rühaak, W. ; Clauser, C. ; Wolf, A. ; Rath, V. |
| Art des Eintrags: | Bibliographie |
| Titel: | Finite-Volume Groundwater Modeling With Non-Orthogonal Grids, Using A Coordinate Transformation Method |
| Sprache: | Englisch |
| Publikationsjahr: | 2006 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Proceedings of the conference Modflow and More 2006: Managing Ground-Water Systems. International Ground Water Modeling Center (IGWMC), May 22-24, Colorado School of Mines, Golden Colorado. |
| Jahrgang/Volume einer Zeitschrift: | 31 |
| (Heft-)Nummer: | 3 |
| Kurzbeschreibung (Abstract): | Many popular groundwater modeling codes are based on the finite-differences or finite-volume method for orthogonal grids. In cases of complex subsurface geometries this type of grid leads either to coarse geometric representations or to extreme large meshes. We use a coordinate transformation method (CTM) to circumvent this shortcoming. In computational fluid dynamics (CFD), this method has been successfully applied to the general Navier-Stokes equation. The method is based on tensor analysis and performs a transformation of a curvilinear into a rectangular unit grid, on which a modified formulation of the differential equations is applied. Therefore it is not necessary to reformulate the code in total. We have applied the CTM to an existing three-dimensional code (SHEMAT), a simulator for heat conduction and advection in porous media. The finite-volume discretization scheme for the non-orthogonal hexahedral grid leads to a 19-point stencil and a corresponding banded system matrix. The implementation is straightforward and it is possible to use some existing routines without modification. The accuracy of the modified code was demonstrated on a two-dimensional analytical solution for coupled flow and heat transport. |
| Fachbereich(e)/-gebiet(e): | 11 Fachbereich Material- und Geowissenschaften 11 Fachbereich Material- und Geowissenschaften > Geowissenschaften 11 Fachbereich Material- und Geowissenschaften > Geowissenschaften > Fachgebiet Angewandte Geothermie |
| Hinterlegungsdatum: | 16 Nov 2015 08:59 |
| Letzte Änderung: | 16 Okt 2020 09:56 |
| PPN: | |
| Export: | |
| Suche nach Titel in: | TUfind oder in Google |
 |
Frage zum Eintrag |
Optionen (nur für Redakteure)
 |
Redaktionelle Details anzeigen |
Drucken
Impressum