Volume 8, Issue 4
The Role of Thermodynamics in Model Reduction When Using Invariant Grids

Eliodoro Chiavazzo, Iliya V. Karlin & Alexander N. Gorban

Commun. Comput. Phys., 8 (2010), pp. 701-734.

Published online: 2010-08

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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.

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@Article{CiCP-8-701, author = {Eliodoro Chiavazzo, Iliya V. Karlin and Alexander N. Gorban}, title = {The Role of Thermodynamics in Model Reduction When Using Invariant Grids}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {4}, pages = {701--734}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.030709.210110a}, url = {http://global-sci.org/intro/article_detail/cicp/7592.html} }
TY - JOUR T1 - The Role of Thermodynamics in Model Reduction When Using Invariant Grids AU - Eliodoro Chiavazzo, Iliya V. Karlin & Alexander N. Gorban JO - Communications in Computational Physics VL - 4 SP - 701 EP - 734 PY - 2010 DA - 2010/08 SN - 8 DO - http://dor.org/10.4208/cicp.030709.210110a UR - https://global-sci.org/intro/cicp/7592.html KW - AB -

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.

Eliodoro Chiavazzo, Iliya V. Karlin & Alexander N. Gorban. (1970). The Role of Thermodynamics in Model Reduction When Using Invariant Grids. Communications in Computational Physics. 8 (4). 701-734. doi:10.4208/cicp.030709.210110a
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