Computing brine transport in porous media with an adaptive-grid method:
Abstract: "An adaptive-grid finite-difference method is applied to a model for non-isothermal, coupled flow and transport of brine in porous media. In the vicinity of rock salt formations the salt concentration in the fluid becomes large, giving rise to disparate scales in the salt concentratio...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1992
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1992,1 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "An adaptive-grid finite-difference method is applied to a model for non-isothermal, coupled flow and transport of brine in porous media. In the vicinity of rock salt formations the salt concentration in the fluid becomes large, giving rise to disparate scales in the salt concentration profiles. A typical situation one encounters is that of a sharp fresh-salt water interface that moves in time. In such situations adaptive-grid methods are more effective than standard fixed- grid methods, since they refine the space grid locally and hence provide for substantial reduction in number of grid points, memory use and CPU time The adaptive-grid method of this paper is a static, local- uniform-grid-refinement method. Its main feature is that it integrates on nested sequences of locally uniformly refined cartesian space grids, which are automatically adjusted in time to follow rapid spatial transitions. Variable time steps are used to cope with rapid temporal transitions, including a fast march to possible steady-state solutions. For time stepping the implicit, second-order BDF scheme is used. Two specific example problems are numerically illustrated. The main physical properties involved here are advection and dispersion and in case of dominant advection sharp fresh-salt water interfaces arise. |
| Beschreibung: | 24 S. |
Internformat
MARC
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| 100 | 1 | |a Trompert, Ron A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Computing brine transport in porous media with an adaptive-grid method |c R. A. Trompert ; J. G. Verwer ; J. G. Blom |
| 264 | 1 | |a Amsterdam |c 1992 | |
| 300 | |a 24 S. | ||
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1992,1 | |
| 520 | 3 | |a Abstract: "An adaptive-grid finite-difference method is applied to a model for non-isothermal, coupled flow and transport of brine in porous media. In the vicinity of rock salt formations the salt concentration in the fluid becomes large, giving rise to disparate scales in the salt concentration profiles. A typical situation one encounters is that of a sharp fresh-salt water interface that moves in time. In such situations adaptive-grid methods are more effective than standard fixed- grid methods, since they refine the space grid locally and hence provide for substantial reduction in number of grid points, memory use and CPU time | |
| 520 | 3 | |a The adaptive-grid method of this paper is a static, local- uniform-grid-refinement method. Its main feature is that it integrates on nested sequences of locally uniformly refined cartesian space grids, which are automatically adjusted in time to follow rapid spatial transitions. Variable time steps are used to cope with rapid temporal transitions, including a fast march to possible steady-state solutions. For time stepping the implicit, second-order BDF scheme is used. Two specific example problems are numerically illustrated. The main physical properties involved here are advection and dispersion and in case of dominant advection sharp fresh-salt water interfaces arise. | |
| 650 | 4 | |a Computer simulation | |
| 650 | 4 | |a Transport theory | |
| 700 | 1 | |a Verwer, Jan |e Verfasser |4 aut | |
| 700 | 1 | |a Blom, J. G. |e Verfasser |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1992,1 |w (DE-604)BV010177152 |9 1992,1 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006766403 | ||
Datensatz im Suchindex
| _version_ | 1804124585843490816 |
|---|---|
| any_adam_object | |
| author | Trompert, Ron A. Verwer, Jan Blom, J. G. |
| author_facet | Trompert, Ron A. Verwer, Jan Blom, J. G. |
| author_role | aut aut aut |
| author_sort | Trompert, Ron A. |
| author_variant | r a t ra rat j v jv j g b jg jgb |
| building | Verbundindex |
| bvnumber | BV010185533 |
| ctrlnum | (OCoLC)27260906 (DE-599)BVBBV010185533 |
| format | Book |
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| id | DE-604.BV010185533 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:01Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006766403 |
| oclc_num | 27260906 |
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| owner_facet | DE-91G DE-BY-TUM |
| physical | 24 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Trompert, Ron A. Verfasser aut Computing brine transport in porous media with an adaptive-grid method R. A. Trompert ; J. G. Verwer ; J. G. Blom Amsterdam 1992 24 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1992,1 Abstract: "An adaptive-grid finite-difference method is applied to a model for non-isothermal, coupled flow and transport of brine in porous media. In the vicinity of rock salt formations the salt concentration in the fluid becomes large, giving rise to disparate scales in the salt concentration profiles. A typical situation one encounters is that of a sharp fresh-salt water interface that moves in time. In such situations adaptive-grid methods are more effective than standard fixed- grid methods, since they refine the space grid locally and hence provide for substantial reduction in number of grid points, memory use and CPU time The adaptive-grid method of this paper is a static, local- uniform-grid-refinement method. Its main feature is that it integrates on nested sequences of locally uniformly refined cartesian space grids, which are automatically adjusted in time to follow rapid spatial transitions. Variable time steps are used to cope with rapid temporal transitions, including a fast march to possible steady-state solutions. For time stepping the implicit, second-order BDF scheme is used. Two specific example problems are numerically illustrated. The main physical properties involved here are advection and dispersion and in case of dominant advection sharp fresh-salt water interfaces arise. Computer simulation Transport theory Verwer, Jan Verfasser aut Blom, J. G. Verfasser aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1992,1 (DE-604)BV010177152 1992,1 |
| spellingShingle | Trompert, Ron A. Verwer, Jan Blom, J. G. Computing brine transport in porous media with an adaptive-grid method Computer simulation Transport theory |
| title | Computing brine transport in porous media with an adaptive-grid method |
| title_auth | Computing brine transport in porous media with an adaptive-grid method |
| title_exact_search | Computing brine transport in porous media with an adaptive-grid method |
| title_full | Computing brine transport in porous media with an adaptive-grid method R. A. Trompert ; J. G. Verwer ; J. G. Blom |
| title_fullStr | Computing brine transport in porous media with an adaptive-grid method R. A. Trompert ; J. G. Verwer ; J. G. Blom |
| title_full_unstemmed | Computing brine transport in porous media with an adaptive-grid method R. A. Trompert ; J. G. Verwer ; J. G. Blom |
| title_short | Computing brine transport in porous media with an adaptive-grid method |
| title_sort | computing brine transport in porous media with an adaptive grid method |
| topic | Computer simulation Transport theory |
| topic_facet | Computer simulation Transport theory |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT trompertrona computingbrinetransportinporousmediawithanadaptivegridmethod AT verwerjan computingbrinetransportinporousmediawithanadaptivegridmethod AT blomjg computingbrinetransportinporousmediawithanadaptivegridmethod |