Splitting methods for three-dimensional transport models with interaction terms:
Abstract: "We investigate the use of splitting methods for the numerical integration of three-dimensional transport-chemistry models. In particular, we investigate various possibilities for the time discretization that can take advantage of the parallelization and vectorization facilities offer...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1995
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1995,16 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "We investigate the use of splitting methods for the numerical integration of three-dimensional transport-chemistry models. In particular, we investigate various possibilities for the time discretization that can take advantage of the parallelization and vectorization facilities offered by multi-processor vector computers. To suppress wiggles in the numerical solution, we use third-order, upwind- biased discretization of the advection terms, resulting in a five-point coupling in each direction. As an alternative to the usual splitting functions, such as co-ordinate splitting or operator splitting, we consider a splitting function that is based on a three-coloured hopscotch-type splitting in the horizontal direction, whereas full coupling is retained in the vertical direction. Advantages of this splitting function are the easy application of domain decomposition techniques and unconditional stability in the vertical, which is an important property for transport in shallow water. The splitting method is obtained by combining the hopscotch-type splitting function with various second-order splitting formulae from the literature. Although some of the resulting methods are highly accurate, their stability behaviour (due to horizontal advection) is quite poor. Therefore we also discuss several new splitting formulae with the aim to improve the stability characteristics. It turns out that this is possible indeed, but the price to pay is a reduction of the accuracy. Therefore, such methods are to be preferred if accuracy is less crucial than stability; such a situation is frequently encountered in solving transport problems. As part of the project TRUST (Transport and Reactions Unified by Splitting Techniques), preliminary versions of the schemes are implemented on the Cray C98/4256 computer and are available for benchmarking." |
| Beschreibung: | 14 S. |
Internformat
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| 100 | 1 | |a Houwen, Pieter J. van der |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Splitting methods for three-dimensional transport models with interaction terms |c P. J. van der Houwen ; B. P. Sommeijer |
| 264 | 1 | |a Amsterdam |c 1995 | |
| 300 | |a 14 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1995,16 | |
| 520 | 3 | |a Abstract: "We investigate the use of splitting methods for the numerical integration of three-dimensional transport-chemistry models. In particular, we investigate various possibilities for the time discretization that can take advantage of the parallelization and vectorization facilities offered by multi-processor vector computers. To suppress wiggles in the numerical solution, we use third-order, upwind- biased discretization of the advection terms, resulting in a five-point coupling in each direction. As an alternative to the usual splitting functions, such as co-ordinate splitting or operator splitting, we consider a splitting function that is based on a three-coloured hopscotch-type splitting in the horizontal direction, whereas full coupling is retained in the vertical direction. Advantages of this splitting function are the easy application of domain decomposition techniques and unconditional stability in the vertical, which is an important property for transport in shallow water. The splitting method is obtained by combining the hopscotch-type splitting function with various second-order splitting formulae from the literature. Although some of the resulting methods are highly accurate, their stability behaviour (due to horizontal advection) is quite poor. Therefore we also discuss several new splitting formulae with the aim to improve the stability characteristics. It turns out that this is possible indeed, but the price to pay is a reduction of the accuracy. Therefore, such methods are to be preferred if accuracy is less crucial than stability; such a situation is frequently encountered in solving transport problems. As part of the project TRUST (Transport and Reactions Unified by Splitting Techniques), preliminary versions of the schemes are implemented on the Cray C98/4256 computer and are available for benchmarking." | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Differential equations |x Numerical solution |x Data processing | |
| 650 | 4 | |a Diffusion |x Mathematical models |x Data processing | |
| 650 | 4 | |a Numerical integration | |
| 650 | 4 | |a Simulation methods | |
| 700 | 1 | |a Sommeijer, Ben P. |d ca. 20. Jh. |e Verfasser |0 (DE-588)132820269 |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1995,16 |w (DE-604)BV010177152 |9 1995,16 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007408991 | ||
Datensatz im Suchindex
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| any_adam_object | |
| author | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh |
| author_GND | (DE-588)132820269 |
| author_facet | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh |
| author_role | aut aut |
| author_sort | Houwen, Pieter J. van der |
| author_variant | p j v d h pjvd pjvdh b p s bp bps |
| building | Verbundindex |
| bvnumber | BV011062805 |
| ctrlnum | (OCoLC)34740303 (DE-599)BVBBV011062805 |
| format | Book |
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The splitting method is obtained by combining the hopscotch-type splitting function with various second-order splitting formulae from the literature. Although some of the resulting methods are highly accurate, their stability behaviour (due to horizontal advection) is quite poor. Therefore we also discuss several new splitting formulae with the aim to improve the stability characteristics. It turns out that this is possible indeed, but the price to pay is a reduction of the accuracy. Therefore, such methods are to be preferred if accuracy is less crucial than stability; such a situation is frequently encountered in solving transport problems. 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| id | DE-604.BV011062805 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:03:22Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007408991 |
| oclc_num | 34740303 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 14 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Houwen, Pieter J. van der Verfasser aut Splitting methods for three-dimensional transport models with interaction terms P. J. van der Houwen ; B. P. Sommeijer Amsterdam 1995 14 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1995,16 Abstract: "We investigate the use of splitting methods for the numerical integration of three-dimensional transport-chemistry models. In particular, we investigate various possibilities for the time discretization that can take advantage of the parallelization and vectorization facilities offered by multi-processor vector computers. To suppress wiggles in the numerical solution, we use third-order, upwind- biased discretization of the advection terms, resulting in a five-point coupling in each direction. As an alternative to the usual splitting functions, such as co-ordinate splitting or operator splitting, we consider a splitting function that is based on a three-coloured hopscotch-type splitting in the horizontal direction, whereas full coupling is retained in the vertical direction. Advantages of this splitting function are the easy application of domain decomposition techniques and unconditional stability in the vertical, which is an important property for transport in shallow water. The splitting method is obtained by combining the hopscotch-type splitting function with various second-order splitting formulae from the literature. Although some of the resulting methods are highly accurate, their stability behaviour (due to horizontal advection) is quite poor. Therefore we also discuss several new splitting formulae with the aim to improve the stability characteristics. It turns out that this is possible indeed, but the price to pay is a reduction of the accuracy. Therefore, such methods are to be preferred if accuracy is less crucial than stability; such a situation is frequently encountered in solving transport problems. As part of the project TRUST (Transport and Reactions Unified by Splitting Techniques), preliminary versions of the schemes are implemented on the Cray C98/4256 computer and are available for benchmarking." Datenverarbeitung Mathematisches Modell Differential equations Numerical solution Data processing Diffusion Mathematical models Data processing Numerical integration Simulation methods Sommeijer, Ben P. ca. 20. Jh. Verfasser (DE-588)132820269 aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1995,16 (DE-604)BV010177152 1995,16 |
| spellingShingle | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh Splitting methods for three-dimensional transport models with interaction terms Datenverarbeitung Mathematisches Modell Differential equations Numerical solution Data processing Diffusion Mathematical models Data processing Numerical integration Simulation methods |
| title | Splitting methods for three-dimensional transport models with interaction terms |
| title_auth | Splitting methods for three-dimensional transport models with interaction terms |
| title_exact_search | Splitting methods for three-dimensional transport models with interaction terms |
| title_full | Splitting methods for three-dimensional transport models with interaction terms P. J. van der Houwen ; B. P. Sommeijer |
| title_fullStr | Splitting methods for three-dimensional transport models with interaction terms P. J. van der Houwen ; B. P. Sommeijer |
| title_full_unstemmed | Splitting methods for three-dimensional transport models with interaction terms P. J. van der Houwen ; B. P. Sommeijer |
| title_short | Splitting methods for three-dimensional transport models with interaction terms |
| title_sort | splitting methods for three dimensional transport models with interaction terms |
| topic | Datenverarbeitung Mathematisches Modell Differential equations Numerical solution Data processing Diffusion Mathematical models Data processing Numerical integration Simulation methods |
| topic_facet | Datenverarbeitung Mathematisches Modell Differential equations Numerical solution Data processing Diffusion Mathematical models Data processing Numerical integration Simulation methods |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT houwenpieterjvander splittingmethodsforthreedimensionaltransportmodelswithinteractionterms AT sommeijerbenp splittingmethodsforthreedimensionaltransportmodelswithinteractionterms |