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This work addresses the construction and use of low-dimensional invariant manifolds to simplify complex chemical kinetics. Typically, chemical kinetic systems have a wide range of time scales. As a consequence, reaction trajectories rapidly approach a hierarchy of attracting manifolds of decreasing dimension in the full composition space. In previous(More)
Pulmonary embolism is the third leading cause of death in hospitalized patients in the US. Vena cava filters are medical devices inserted into the inferior vena cava (IVC) and are designed to trap thrombi before they reach the lungs. Once trapped in a filter, however, thrombi disturb otherwise natural flow patterns, which may be clinically significant. The(More)
A new dimension-reduction method, the Invariant Constrained-equilibrium Edge Pre-Image Curve (ICE-PIC) method, to simplify chemical kinetics has recently been developed by Ren et al. [Z. Ren, S.B. Pope, A. Vladimirsky, J.M. Guckenheimer, J. Chem. Phys. 124 (2006) 114111]. In the present work, the ICE-PIC method is first applied to the homogeneous(More)
Detailed chemical kinetics is an integral component for predictive simulation of turbulent flames and is important for reliable prediction of flames and emissions. Major challenges of incorporation of detailed chemistry in flame simulations are induced by the large number of chemical species and the wide range of timescales involved in detailed kinetics. In(More)
Detailed chemical kinetics typically involve a large number of chemical species and a wide range of time scales. In calculations of chemically reactive flows, dimension-reduction techniques can be used to reduce the computational burden imposed by the direct use of detailed chemistry. In the reduced description, the reactive system is described in terms of(More)
Abstract A flamelet-based approach that accounts for turbulence-chemistry interaction has been formulated to simulate NOx formation in turbulent lean premixed combustion. In the simulations, the species NO is transported and solved with the chemical source term being modelled through its formation in flame fronts and its formation rate in post-flame(More)
In parallel calculations of combustion processes with realistic chemistry, the serial in situ adaptive tabulation (ISAT) algorithm [1,2] substantially speeds up the chemistry calculations on each processor. To further improve the efficiency of chemistry calculations in parallel computations, in this work, the ISAT algorithm is extended to the(More)
Computational calculations of combustion problems involving real fuels with chemistry represented by detailed mechanisms are prohibitive, due to the large number of species and reactions involved. We present a new combined dimension reduction and tabulation algorithm for the efficient implementation of combustion chemistry. In this algorithm, the dimension(More)