Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics:
Abstract: "During the last years the interest in the numerical simulation of reacting flows has grown considerably and numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. The use of detailed physical and chemical models, involving several...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1997
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| Schriftenreihe: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1997,20 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "During the last years the interest in the numerical simulation of reacting flows has grown considerably and numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. The use of detailed physical and chemical models, involving several hundred species, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple geometries, and models are required, which simplify chemistry without sacrificing accuracy. One method to simplify the chemical kinetics is based on Intrinsic Low-Dimensional Manifolds (ILDM). They represent attractors for the chemical kinetics, i.e. fast chemical processes relax towards them, and slow chemical processes represent movements within the manifolds. Thus the identification of the ILDMs allows a decoupling of the fast time scales. The concept has been verified by many different reacting flow calculations. However, one remaining problem of the method is the efficient calculation of the low-dimensional manifolds. This problem is addressed in this paper. We present an efficient, robust method, which allows to calculate intrinsic low-dimensional manifolds of chemical reaction systems. It is based on a multi-dimensional continuation process. Examples are shown for a typical combustion system. The method is not restriced to this problem class, but can be applied to other chemical systems, too." |
| Beschreibung: | 23 S. graph. Darst. |
Internformat
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| 100 | 1 | |a Maas, Ulrich |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics |c Ulrich Maas |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1997 | |
| 300 | |a 23 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1997,20 | |
| 520 | 3 | |a Abstract: "During the last years the interest in the numerical simulation of reacting flows has grown considerably and numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. The use of detailed physical and chemical models, involving several hundred species, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple geometries, and models are required, which simplify chemistry without sacrificing accuracy. One method to simplify the chemical kinetics is based on Intrinsic Low-Dimensional Manifolds (ILDM). They represent attractors for the chemical kinetics, i.e. fast chemical processes relax towards them, and slow chemical processes represent movements within the manifolds. Thus the identification of the ILDMs allows a decoupling of the fast time scales. The concept has been verified by many different reacting flow calculations. However, one remaining problem of the method is the efficient calculation of the low-dimensional manifolds. This problem is addressed in this paper. We present an efficient, robust method, which allows to calculate intrinsic low-dimensional manifolds of chemical reaction systems. It is based on a multi-dimensional continuation process. Examples are shown for a typical combustion system. The method is not restriced to this problem class, but can be applied to other chemical systems, too." | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Chemical reactions |x Mathematical models | |
| 650 | 4 | |a Fluid dynamics |x Mathematical models | |
| 650 | 4 | |a Manifolds (Mathematics) | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1997,20 |w (DE-604)BV004801715 |9 1997,20 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010360161 | ||
Datensatz im Suchindex
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| any_adam_object | |
| author | Maas, Ulrich |
| author_facet | Maas, Ulrich |
| author_role | aut |
| author_sort | Maas, Ulrich |
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| building | Verbundindex |
| bvnumber | BV017189180 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)37991474 (DE-599)BVBBV017189180 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV017189180 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:14:47Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010360161 |
| oclc_num | 37991474 |
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| owner | DE-703 DE-188 |
| owner_facet | DE-703 DE-188 |
| physical | 23 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Maas, Ulrich Verfasser aut Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics Ulrich Maas Berlin Konrad-Zuse-Zentrum für Informationstechnik 1997 23 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1997,20 Abstract: "During the last years the interest in the numerical simulation of reacting flows has grown considerably and numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. The use of detailed physical and chemical models, involving several hundred species, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple geometries, and models are required, which simplify chemistry without sacrificing accuracy. One method to simplify the chemical kinetics is based on Intrinsic Low-Dimensional Manifolds (ILDM). They represent attractors for the chemical kinetics, i.e. fast chemical processes relax towards them, and slow chemical processes represent movements within the manifolds. Thus the identification of the ILDMs allows a decoupling of the fast time scales. The concept has been verified by many different reacting flow calculations. However, one remaining problem of the method is the efficient calculation of the low-dimensional manifolds. This problem is addressed in this paper. We present an efficient, robust method, which allows to calculate intrinsic low-dimensional manifolds of chemical reaction systems. It is based on a multi-dimensional continuation process. Examples are shown for a typical combustion system. The method is not restriced to this problem class, but can be applied to other chemical systems, too." Mathematisches Modell Chemical reactions Mathematical models Fluid dynamics Mathematical models Manifolds (Mathematics) Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1997,20 (DE-604)BV004801715 1997,20 |
| spellingShingle | Maas, Ulrich Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics Mathematisches Modell Chemical reactions Mathematical models Fluid dynamics Mathematical models Manifolds (Mathematics) |
| title | Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics |
| title_auth | Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics |
| title_exact_search | Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics |
| title_full | Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics Ulrich Maas |
| title_fullStr | Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics Ulrich Maas |
| title_full_unstemmed | Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics Ulrich Maas |
| title_short | Efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics |
| title_sort | efficient calculation of intrinsic low dimensional manifolds for the simplification of chemical kinetics |
| topic | Mathematisches Modell Chemical reactions Mathematical models Fluid dynamics Mathematical models Manifolds (Mathematics) |
| topic_facet | Mathematisches Modell Chemical reactions Mathematical models Fluid dynamics Mathematical models Manifolds (Mathematics) |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT maasulrich efficientcalculationofintrinsiclowdimensionalmanifoldsforthesimplificationofchemicalkinetics |