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.
Author: | Peter Deuflhard, Jörg Heroth, Ulrich Maas |
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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 |