@misc{DeuflhardHerothMaas1996, author = {Deuflhard, Peter and Heroth, J{\"o}rg and Maas, Ulrich}, title = {Towards Dynamical Dimension Reduction in Reactive Flow Problems}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-2383}, number = {SC-96-27}, year = {1996}, 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 {\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.}, language = {en} } @inproceedings{DeuflhardHerothMaas1996, author = {Deuflhard, Peter and Heroth, J{\"o}rg and Maas, Ulrich}, title = {Towards Dynamic Dimension Reduction in Reactive Flow Problems}, booktitle = {Proc. 3rd Workshop on Modelling of Chemical Reaction Systems}, address = {Heidelberg}, year = {1996}, language = {en} }