The Role of Thermodynamics in Model Reduction When Using Invariant Grids

2010/05/25 by Eliodoro Chiavazzo, Iliya V. Karlin, Alexander N. Gorban · 5 citations
Engineering · Chemical Engineering · #Combustion and flame dynamics #Advanced Combustion Engine Technologies #Heat transfer and supercritical fluids

paper · pdf · doi:10.4208/cicp.030709.210110a

openalex publication_date 2010/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In the present work, we develop in detail the process leading to reduction of models in chemical kinetics when using the Method of Invariant Grids (MIG). To this end, reduced models (invariant grids) are obtained by refining initial approximations of slow invariant manifolds, and used for integrating smaller and less stiff systems of equations capable to recover the detailed description with high accuracy. Moreover, we clarify the role played by thermodynamics in model reduction, and carry out a comparison between detailed and reduced solutions for a model hydrogen oxidation reaction.

Citations

• The general problem of the stability of motion
• Uniqueness of thermodynamic projector and kinetic basis of molecular individualism
• Method of invariant manifold for chemical kinetics
• Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space

Cited by

• Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized Relaxation Redistribution Method
• Coupling of the model reduction technique with the lattice Boltzmann method for combustion simulations
• Adaptive simplification of complex multiscale systems
• The global relaxation redistribution method for reduction of combustion kinetics
• Combustion [wikipedia]