Quasi steady state and partial equilibrium approximations: their relation and their validity
The quasi steady state and partial equilibrium approximations are analysed in the context of a system of nonlinear differential equations exhibiting multiscale behaviour. Considering systems in the most general and dimensional form , it is shown that both approximations are limiting cases of leading...
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| Vydáno v: | Combustion theory and modelling Ročník 16; číslo 5; s. 869 - 926 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Taylor & Francis Group
01.10.2012
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| ISSN: | 1364-7830, 1741-3559 |
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| Abstract | The quasi steady state and partial equilibrium approximations are analysed in the context of a system of nonlinear differential equations exhibiting multiscale behaviour. Considering systems in the most general and dimensional form
, it is shown that both approximations are limiting cases of leading-order asymptotics. Algorithmic conditions are established which guarantee that the accuracy and stability delivered by the two approximations are equivalent to those obtained with leading-order asymptotics. It is shown that the quasi steady state approximation is a limiting case of the partial equilibrium approximation. Algorithms are reported for the identification of the variables in quasi steady state and/or of the processes in partial equilibrium. |
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| AbstractList | The quasi steady state and partial equilibrium approximations are analysed in the context of a system of nonlinear differential equations exhibiting multiscale behaviour. Considering systems in the most general and dimensional form
, it is shown that both approximations are limiting cases of leading-order asymptotics. Algorithmic conditions are established which guarantee that the accuracy and stability delivered by the two approximations are equivalent to those obtained with leading-order asymptotics. It is shown that the quasi steady state approximation is a limiting case of the partial equilibrium approximation. Algorithms are reported for the identification of the variables in quasi steady state and/or of the processes in partial equilibrium. |
| Author | Goussis, Dimitris A. |
| Author_xml | – sequence: 1 givenname: Dimitris A. surname: Goussis fullname: Goussis, Dimitris A. organization: Department of Mechanics, School of Applied Mathematical and Physical Sciences , National Technical University of Athens |
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| Title | Quasi steady state and partial equilibrium approximations: their relation and their validity |
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