2009
DOI: 10.1016/j.proci.2008.05.039
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On-demand generation of reduced mechanisms based on hierarchically extended intrinsic low-dimensional manifolds in generalized coordinates

Abstract: A new implementation scheme for reduced mechanisms based on hierarchically generated and extended intrinsic low-dimensional manifolds (ILDMs) created ''on-demand" is presented. The algorithm includes the use of ILDMs in generalized coordinates and a new hierarchical concept for the extension of the ILDMs into the domain of slow chemistry. Problems of pre-calculated ILDM tables are overcome by generating ILDM cells on-demand during the flame calculation, yielding an increased efficiency of the table generation … Show more

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Cited by 12 publications
(3 citation statements)
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“…They obtained a combined speed up of over a factor of 10 for a propane mechanism with 117 species and 665 reactions in a laminar flame calculation. König and Mauss [124] have developed an on-demand, intrinsic low dimensional manifold (ILDM) method to reduce the computational requirements of detailed chemical kinetic mechanisms when calculating chemically reacting flows. Normally, the ILDM method requires the calculations of an ILDM table that covers the whole state space that is expected to be accessed by the computation.…”
Section: Reduction Of Detailed Chemical Kinetic Mechanismsmentioning
confidence: 99%
“…They obtained a combined speed up of over a factor of 10 for a propane mechanism with 117 species and 665 reactions in a laminar flame calculation. König and Mauss [124] have developed an on-demand, intrinsic low dimensional manifold (ILDM) method to reduce the computational requirements of detailed chemical kinetic mechanisms when calculating chemically reacting flows. Normally, the ILDM method requires the calculations of an ILDM table that covers the whole state space that is expected to be accessed by the computation.…”
Section: Reduction Of Detailed Chemical Kinetic Mechanismsmentioning
confidence: 99%
“…The method was successfully applied for the development of reduced models describing the combustion of high-molecular-weight hydrocarbons, such as iso-octane and n-dodecane (Blasenbrey and Maas 2000). A further development of the ILDM algorithm applicable for slower processes was suggested by Maas and co-workers (Nafe and Maas 2002;Bykov and Maas 2007b;König and Maas 2009). Surovtsova and co-workers (2009) applied the ILDM method to several biochemical systems and implemented the method (together with a modified version) within the computer code COPASI .…”
Section: Intrinsic Low-dimensional Manifoldsmentioning
confidence: 99%
“…After that, for each group of similar points (cluster), a reduced kinetic mechanism is generated via Directed Relation Graph with Error Propagation (DRGEP; Pepiot-Desjardins and Pitsch, 2008). The chemical reduction step can also be accomplished using different kinetic reduction techniques such as Computational Singular Perturbation or Intrinsic Low-Dimensional Manifolds (Maas, 1998;Valorani et al, 2006Valorani et al, , 2007König and Maas, 2009). After this step, a library of reduced mechanisms, corresponding to different chemical conditions, is obtained.…”
Section: Introductionmentioning
confidence: 99%