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    <id>289</id>
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    <language>eng</language>
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    <completedDate>1997-04-30</completedDate>
    <publishedDate>1997-04-30</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Efficient Calculation of Intrinsic Low-Dimensional Manifolds for the Simplification of Chemical Kinetics</title>
    <abstract language="eng">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 present 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 restricted to this class, but can be applied to other chemical systems, too.</abstract>
    <identifier type="serial">SC-97-20</identifier>
    <identifier type="opus3-id">290</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-2898</identifier>
    <enrichment key="SourceTitle">Appeared in: Computing and Visualization in Science 1 (1998) No. 2 pp. 69-81</enrichment>
    <author>Ulrich Maas</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-97-20</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/289/SC-97-20.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/289/SC-97-20.pdf</file>
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