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 …

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 …

The rate-controlled constrained-equilibrium (RCCE) method for dimension reduction of
combustion chemistry is revisited from a geometric viewpoint. A constrained equilibrium …

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 …

All chemistry dimension-reduction methodologies, such as quasi-steady-state approximation
(QSSA), rate-controlled constrained equilibrium (RCCE), and intrinsic low-dimensional …

The Rate-Controlled Constrained-Equilibrium (RCCE) method is a thermodynamic based
dimension reduction method which enables representation of chemistry involving ns species …

Among many other methods for simplifying chemical kinetics for laminar and turbulent flame
calculations, the method of intrinsic low-dimensional manifolds (ILDM) has shown to be an …

Abstract Principal Component Analysis (PCA) is a dimensionality reduction technique widely
used to reduce the computational cost associated with numerical simulations of combustion …

A code has been developed to automatically simplify full chemical mechanisms. The method
employed is based on the Intrinsic Low Dimensional Manifold (ILDM) method of Maas and …

Our quantitative knowledge of combustion chemistry is embodied in detailed reaction
mechanisms, which continue to advance in their scope and accuracy. In computations of …