‘Coarse’ integration/bifurcation analysis via microscopic simulators: micro-Galerkin methods
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| Názov: | ‘Coarse’ integration/bifurcation analysis via microscopic simulators: micro-Galerkin methods |
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| Autori: | Gear, C. W., Kevrekidis, Ioannis G., Theodoropoulos, Constantinos |
| Zdroj: | Gear, C W, Kevrekidis, I G & Theodoropoulos, C 2002, ''Coarse' integration/bifurcation analysis via microscopic simulators: Micro-Galerkin methods', Computers and Chemical Engineering, vol. 26, no. 7-8, pp. 941-963. https://doi.org/10.1016/S0098-1354(02)00020-0 |
| Informácie o vydavateľovi: | Elsevier BV, 2002. |
| Rok vydania: | 2002 |
| Predmety: | Multiscale computation, Projective integration, 0103 physical sciences, Lattice Boltzmann models, Bifurcation, 01 natural sciences |
| Popis: | We present a time-stepper based approach to the 'coarse' integration and stability/bifurcation analysis of distributed reacting system models. The methods we discuss are applicable to systems for which the traditional modeling approach through macroscopic evolution equations (usually partial differential equations, PDEs) is not possible because the PDEs are not available in closed form. If an alternative, microscopic (e.g. Monte Carlo or Lattice Boltzmann) description of the physics is available, we illustrate how this microscopic simulator can be enabled (through a computational superstructure) to perform certain integration and numerical bifurcation analysis tasks directly at the coarse, systems level. This approach, when successful, can circumvent the derivation of accurate, closed form, macroscopic PDE descriptions of the system. The direct 'systems level' analysis of microscopic process models, facilitated through such numerical 'enabling technologies', may, if practical, advance our understanding and use of nonequilibrium systems. © 2002 Elsevier Science Ltd. All rights reserved. |
| Druh dokumentu: | Article |
| Jazyk: | English |
| ISSN: | 0098-1354 |
| DOI: | 10.1016/s0098-1354(02)00020-0 |
| Prístupová URL adresa: | https://research.manchester.ac.uk/en/publications/0d1ba0cf-08ef-4104-a336-6fa7897407fe https://doi.org/10.1016/S0098-1354(02)00020-0 https://www.sciencedirect.com/science/article/pii/S0098135402000200 https://www.research.manchester.ac.uk/portal/en/publications/coarse-integrationbifurcation-analysis-via-microscopic-simulators-microgalerkin-methods(0d1ba0cf-08ef-4104-a336-6fa7897407fe).html https://www.escholar.manchester.ac.uk/uk-ac-man-scw:1a9723 |
| Rights: | Elsevier TDM |
| Prístupové číslo: | edsair.doi.dedup.....e574135f2d9eff16110ee254b51aac0d |
| Databáza: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstrakt: | We present a time-stepper based approach to the 'coarse' integration and stability/bifurcation analysis of distributed reacting system models. The methods we discuss are applicable to systems for which the traditional modeling approach through macroscopic evolution equations (usually partial differential equations, PDEs) is not possible because the PDEs are not available in closed form. If an alternative, microscopic (e.g. Monte Carlo or Lattice Boltzmann) description of the physics is available, we illustrate how this microscopic simulator can be enabled (through a computational superstructure) to perform certain integration and numerical bifurcation analysis tasks directly at the coarse, systems level. This approach, when successful, can circumvent the derivation of accurate, closed form, macroscopic PDE descriptions of the system. The direct 'systems level' analysis of microscopic process models, facilitated through such numerical 'enabling technologies', may, if practical, advance our understanding and use of nonequilibrium systems. © 2002 Elsevier Science Ltd. All rights reserved. |
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| ISSN: | 00981354 |
| DOI: | 10.1016/s0098-1354(02)00020-0 |