Alloula, Karim and Monfreda, Fabien and Théry Hétreux, Raphaële
and Belaud, Jean-Pierre
Converting DAE models to ODE models: application to
reactive Rayleigh distillation.
(2013)
Chemical engineering transactions, 32. ISSN 1974-9791
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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 366kB |
Official URL: http://www.aidic.it/cet/13/32/programma.html#220.pdf
Abstract
This paper illustrates the application of an index reduction method to some differential algebraic equations (DAE) modelling the reactive Rayleigh distillation. After two deflation steps, this DAE is converted to an equivalent first-order explicit ordinary differential equation (ODE). This ODE involves a reduced number of dependent variables, and some evaluations of implicit functions defined, either from the original algebraic constraints, or from the hidden ones. Consistent initial conditions are no longer to be computed; at the opposite of some other index reduction methods, which generate a drift-off effect, the algebraic constraints remain satisfied at any time; and, finally, the computational effort to solve the ODE may be less than the one associated to the original DAE.
Item Type: | Article |
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HAL Id: | hal-00926516 |
Audience (journal): | International peer-reviewed journal |
Uncontrolled Keywords: | |
Institution: | French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE) Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE) Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE) |
Laboratory name: | |
Statistics: | download |
Deposited On: | 07 Nov 2013 10:44 |
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