Towards dynamic dimension reduction in reactive flow problems:
Abstract: "The paper addresses the possibilities of reducing the overall number of degrees of freedom in large scale reactive flow computations. Attention focusses on the dimension reduction technique ILDM due to Maas and Pope, which treats certain automatically detected fast dynamic components...
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1996
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| Series: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1996,27 |
| Subjects: | |
| Summary: | Abstract: "The paper addresses the possibilities of reducing the overall number of degrees of freedom in large scale reactive flow computations. Attention focusses on the dimension reduction technique ILDM due to Maas and Pope, which treats certain automatically detected fast dynamic components as algebraic equations (so-called slow manifold). In earlier papers, the dimension of the reduction had been kept constant throughout each computation. Recently, a mathematically sound and nevertheless cheap dimension monitor for the chemistry part only has been suggested by Deuflhard and Heroth. The present paper reports about first steps taken towards the implementation of that monitor into a flame code. Moreover, a sparse grid storage scheme is advocated and analyzed in view of the construction of efficient table look-ups for nested manifolds." |
| Physical Description: | 12 S. graph. Darst. |
Staff View
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| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1996,27 | |
| 520 | 3 | |a Abstract: "The paper addresses the possibilities of reducing the overall number of degrees of freedom in large scale reactive flow computations. Attention focusses on the dimension reduction technique ILDM due to Maas and Pope, which treats certain automatically detected fast dynamic components as algebraic equations (so-called slow manifold). In earlier papers, the dimension of the reduction had been kept constant throughout each computation. Recently, a mathematically sound and nevertheless cheap dimension monitor for the chemistry part only has been suggested by Deuflhard and Heroth. The present paper reports about first steps taken towards the implementation of that monitor into a flame code. Moreover, a sparse grid storage scheme is advocated and analyzed in view of the construction of efficient table look-ups for nested manifolds." | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Chemical reactions |x Mathematical models | |
| 650 | 4 | |a Finite element method | |
| 650 | 4 | |a Reaction-diffusion equations | |
| 700 | 1 | |a Heroth, Jörg |e Verfasser |4 aut | |
| 700 | 1 | |a Maas, Ulrich |e Verfasser |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1996,27 |w (DE-604)BV004801715 |9 1996,27 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010357755 | |
Record in the Search Index
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| author | Deuflhard, Peter 1944-2019 Heroth, Jörg Maas, Ulrich |
| author_GND | (DE-588)108205983 |
| author_facet | Deuflhard, Peter 1944-2019 Heroth, Jörg Maas, Ulrich |
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| author_sort | Deuflhard, Peter 1944-2019 |
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| building | Verbundindex |
| bvnumber | BV017186564 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)37235524 (DE-599)BVBBV017186564 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV017186564 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:07:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010357755 |
| oclc_num | 37235524 |
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| physical | 12 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Deuflhard, Peter 1944-2019 Verfasser (DE-588)108205983 aut Towards dynamic dimension reduction in reactive flow problems Peter Deuflhard ; Jörg Heroth ; Ulrich Maas Berlin Konrad-Zuse-Zentrum für Informationstechnik 1996 12 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1996,27 Abstract: "The paper addresses the possibilities of reducing the overall number of degrees of freedom in large scale reactive flow computations. Attention focusses on the dimension reduction technique ILDM due to Maas and Pope, which treats certain automatically detected fast dynamic components as algebraic equations (so-called slow manifold). In earlier papers, the dimension of the reduction had been kept constant throughout each computation. Recently, a mathematically sound and nevertheless cheap dimension monitor for the chemistry part only has been suggested by Deuflhard and Heroth. The present paper reports about first steps taken towards the implementation of that monitor into a flame code. Moreover, a sparse grid storage scheme is advocated and analyzed in view of the construction of efficient table look-ups for nested manifolds." Mathematisches Modell Chemical reactions Mathematical models Finite element method Reaction-diffusion equations Heroth, Jörg Verfasser aut Maas, Ulrich Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1996,27 (DE-604)BV004801715 1996,27 |
| spellingShingle | Deuflhard, Peter 1944-2019 Heroth, Jörg Maas, Ulrich Towards dynamic dimension reduction in reactive flow problems Mathematisches Modell Chemical reactions Mathematical models Finite element method Reaction-diffusion equations |
| title | Towards dynamic dimension reduction in reactive flow problems |
| title_auth | Towards dynamic dimension reduction in reactive flow problems |
| title_exact_search | Towards dynamic dimension reduction in reactive flow problems |
| title_full | Towards dynamic dimension reduction in reactive flow problems Peter Deuflhard ; Jörg Heroth ; Ulrich Maas |
| title_fullStr | Towards dynamic dimension reduction in reactive flow problems Peter Deuflhard ; Jörg Heroth ; Ulrich Maas |
| title_full_unstemmed | Towards dynamic dimension reduction in reactive flow problems Peter Deuflhard ; Jörg Heroth ; Ulrich Maas |
| title_short | Towards dynamic dimension reduction in reactive flow problems |
| title_sort | towards dynamic dimension reduction in reactive flow problems |
| topic | Mathematisches Modell Chemical reactions Mathematical models Finite element method Reaction-diffusion equations |
| topic_facet | Mathematisches Modell Chemical reactions Mathematical models Finite element method Reaction-diffusion equations |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT deuflhardpeter towardsdynamicdimensionreductioninreactiveflowproblems AT herothjorg towardsdynamicdimensionreductioninreactiveflowproblems AT maasulrich towardsdynamicdimensionreductioninreactiveflowproblems |