The treatment of macromolecular processes with chain-length-dependent reaction coefficients: an example from soot formation
Abstract: "The description of chain-length distributions in macromolecular reaction kinetics leads to so-called coutable systems of differential equations. In particular, when the appearing reaction rate coefficients depend on the chain-length of the reacting macromolecules itself, an efficient...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
1991
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| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint
1991,18 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "The description of chain-length distributions in macromolecular reaction kinetics leads to so-called coutable systems of differential equations. In particular, when the appearing reaction rate coefficients depend on the chain-length of the reacting macromolecules itself, an efficient numerical treatment of these systems is very difficult. Then even the evaluation of the right-hand side of the system can become prohibitively expensive with respect to computing time. In this paper we show, how the discrete Galerkin method can be applied to such problems. The existing algorithm CODEX is improved by use of a multiplicative error correction scheme for time discretization and a new type of numerical preprocessing by means of a Gauss summation Both ideas are exemplary for a wide class of approximation types and are described very briefly here. The new numerical techniques are tested on an example from soot formation, where the coagulation of molecules is modeled in terms of reaction coefficients depending on the radii of the particles and their collision frequency. |
| Beschreibung: | 12 S. graph. Darst. |
Internformat
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| 100 | 1 | |a Wulkow, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The treatment of macromolecular processes with chain-length-dependent reaction coefficients |b an example from soot formation |c Michael Wulkow ; Jörg Ackermann |
| 264 | 1 | |a Berlin |c 1991 | |
| 300 | |a 12 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint |v 1991,18 | |
| 520 | 3 | |a Abstract: "The description of chain-length distributions in macromolecular reaction kinetics leads to so-called coutable systems of differential equations. In particular, when the appearing reaction rate coefficients depend on the chain-length of the reacting macromolecules itself, an efficient numerical treatment of these systems is very difficult. Then even the evaluation of the right-hand side of the system can become prohibitively expensive with respect to computing time. In this paper we show, how the discrete Galerkin method can be applied to such problems. The existing algorithm CODEX is improved by use of a multiplicative error correction scheme for time discretization and a new type of numerical preprocessing by means of a Gauss summation | |
| 520 | 3 | |a Both ideas are exemplary for a wide class of approximation types and are described very briefly here. The new numerical techniques are tested on an example from soot formation, where the coagulation of molecules is modeled in terms of reaction coefficients depending on the radii of the particles and their collision frequency. | |
| 650 | 4 | |a Galerkin methods | |
| 650 | 4 | |a Macromolecules | |
| 700 | 1 | |a Ackermann, Jörg |e Verfasser |4 aut | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint |v 1991,18 |w (DE-604)BV004801715 |9 1991,18 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003496008 | ||
Datensatz im Suchindex
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| author | Wulkow, Michael Ackermann, Jörg |
| author_facet | Wulkow, Michael Ackermann, Jörg |
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| author_sort | Wulkow, Michael |
| author_variant | m w mw j a ja |
| building | Verbundindex |
| bvnumber | BV005583365 |
| ctrlnum | (OCoLC)28155350 (DE-599)BVBBV005583365 |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:31:51Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003496008 |
| oclc_num | 28155350 |
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| physical | 12 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
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| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint |
| spelling | Wulkow, Michael Verfasser aut The treatment of macromolecular processes with chain-length-dependent reaction coefficients an example from soot formation Michael Wulkow ; Jörg Ackermann Berlin 1991 12 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint 1991,18 Abstract: "The description of chain-length distributions in macromolecular reaction kinetics leads to so-called coutable systems of differential equations. In particular, when the appearing reaction rate coefficients depend on the chain-length of the reacting macromolecules itself, an efficient numerical treatment of these systems is very difficult. Then even the evaluation of the right-hand side of the system can become prohibitively expensive with respect to computing time. In this paper we show, how the discrete Galerkin method can be applied to such problems. The existing algorithm CODEX is improved by use of a multiplicative error correction scheme for time discretization and a new type of numerical preprocessing by means of a Gauss summation Both ideas are exemplary for a wide class of approximation types and are described very briefly here. The new numerical techniques are tested on an example from soot formation, where the coagulation of molecules is modeled in terms of reaction coefficients depending on the radii of the particles and their collision frequency. Galerkin methods Macromolecules Ackermann, Jörg Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint 1991,18 (DE-604)BV004801715 1991,18 |
| spellingShingle | Wulkow, Michael Ackermann, Jörg The treatment of macromolecular processes with chain-length-dependent reaction coefficients an example from soot formation Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint Galerkin methods Macromolecules |
| title | The treatment of macromolecular processes with chain-length-dependent reaction coefficients an example from soot formation |
| title_auth | The treatment of macromolecular processes with chain-length-dependent reaction coefficients an example from soot formation |
| title_exact_search | The treatment of macromolecular processes with chain-length-dependent reaction coefficients an example from soot formation |
| title_full | The treatment of macromolecular processes with chain-length-dependent reaction coefficients an example from soot formation Michael Wulkow ; Jörg Ackermann |
| title_fullStr | The treatment of macromolecular processes with chain-length-dependent reaction coefficients an example from soot formation Michael Wulkow ; Jörg Ackermann |
| title_full_unstemmed | The treatment of macromolecular processes with chain-length-dependent reaction coefficients an example from soot formation Michael Wulkow ; Jörg Ackermann |
| title_short | The treatment of macromolecular processes with chain-length-dependent reaction coefficients |
| title_sort | the treatment of macromolecular processes with chain length dependent reaction coefficients an example from soot formation |
| title_sub | an example from soot formation |
| topic | Galerkin methods Macromolecules |
| topic_facet | Galerkin methods Macromolecules |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT wulkowmichael thetreatmentofmacromolecularprocesseswithchainlengthdependentreactioncoefficientsanexamplefromsootformation AT ackermannjorg thetreatmentofmacromolecularprocesseswithchainlengthdependentreactioncoefficientsanexamplefromsootformation |