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Towards Dynamical Dimension Reduction in Reactive Flow Problems

Please always quote using this URN: urn:nbn:de:0297-zib-2383
  • 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 {\sc 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 {\sc 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.

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Metadaten
Author:Peter Deuflhard, Jörg Heroth, Ulrich Maas
Document Type:ZIB-Report
Date of first Publication:1996/09/02
Series (Serial Number):ZIB-Report (SC-96-27)
ZIB-Reportnumber:SC-96-27
Published in:Appeared in: Proc. Int. Workshop on Modelling of Chemical Reaction Systems, Heidelberg 1996, J. Warnatz, F. Behrendt (eds.), CD-Version, 1997
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