Toward accommodating realistic fuel chemistry in large-scale computations

T Lu, CK Law - Progress in Energy and Combustion Science, 2009 - Elsevier
The need and prospect of incorporating realistic fuel chemistry in large-scale simulations of
combustion phenomena and combustor performance are reviewed. The review first …

Methods of model reduction for large-scale biological systems: a survey of current methods and trends

TJ Snowden, PH van der Graaf, MJ Tindall - Bulletin of mathematical …, 2017 - Springer
Complex models of biochemical reaction systems have become increasingly common in the
systems biology literature. The complexity of such models can present a number of …

Three-dimensional direct numerical simulation of a turbulent lifted hydrogen jet flame in heated coflow: a chemical explosive mode analysis

TF Lu, CS Yoo, JH Chen, CK Law - Journal of Fluid Mechanics, 2010 - cambridge.org
A chemical explosive mode analysis (CEMA) was developed as a new diagnostic to identify
flame and ignition structure in complex flows. CEMA was then used to analyse the near-field …

The extension of the ILDM concept to reaction–diffusion manifolds

V Bykov, U Maas - Combustion Theory and Modelling, 2007 - Taylor & Francis
In the present work, the method of simplifying chemical kinetics based on Intrinsic Low-
Dimensional Manifolds (ILDMs) is modified to deal with the coupling of reaction and …

On the applicability of directed relation graphs to the reduction of reaction mechanisms

T Lu, CK Law - Combustion and Flame, 2006 - Elsevier
The conditions for application of the directed relation graph (DRG) method in skeletal
reduction of mechanisms with vastly different time scales were systematically analyzed. It …

The origin of CEMA and its relation to CSP

DA Goussis, HG Im, HN Najm, S Paolucci… - Combustion and …, 2021 - Elsevier
There currently exist two methods for analysing an explosive mode introduced by chemical
kinetics in a reacting process: the Computational Singular Perturbation (CSP) algorithm and …

Model reduction for combustion chemistry

DA Goussis, U Maas - … combustion modeling: advances, new trends and …, 2011 - Springer
The description of chemically reacting systems leads very often to reaction mechanisms with
far above hundred chemical species (and, therefore, to more than a hundred partial …

The invariant constrained equilibrium edge preimage curve method for the dimension reduction of chemical kinetics

Z Ren, SB Pope, A Vladimirsky… - The Journal of chemical …, 2006 - pubs.aip.org
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 …

Quasi steady state and partial equilibrium approximations: their relation and their validity

DA Goussis - Combustion Theory and Modelling, 2012 - Taylor & Francis
The quasi steady state and partial equilibrium approximations are analysed in the context of
a system of nonlinear differential equations exhibiting multiscale behaviour. Considering …

Model reduction and physical understanding of slowly oscillating processes: the circadian cycle

DA Goussis, HN Najm - Multiscale Modeling & Simulation, 2006 - SIAM
A differential system that models the circadian rhythm in Drosophila is analyzed with the
computational singular perturbation (CSP) algorithm. Reduced nonstiff models of …