Numerical simulation of a pressure swing air separation systemndasha comparative study of finite difference and collocation methods

Authors

  • N. S. Raghavan,

    1. Department of Chemical Engineering, University of New Brunswick, Fredericton, N.B., Canada
    Current affiliation:
    1. Alcan International, Kingston, Ontario, Canada.
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  • M. M. Hassan,

    1. Department of Chemical Engineering, University of New Brunswick, Fredericton, N.B., Canada
    Current affiliation:
    1. University of Petroleum and Minerals, Dhahran, Saudi Arabia.
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  • D. M. Ruthven

    1. Department of Chemical Engineering, University of New Brunswick, Fredericton, N.B., Canada
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Abstract

The efficiency of three different numerical methods (single and double collocation and 3-point central finite difference) is compared for the solution of the set of partial differential equations describing the performance of a pressure swing adsorption (PSA) system for air separation on a carbon molecular sieve. It is shown that in terms of computer time there is little difference between single and double collocation methods but for comparable accuracy both these methods are very much faster than the finite difference method.

Abstract

On a comparé l'efficacité de trois méthodes numériques différentes (collocation simple et double et différences finies centrées à 3 points) pour résoudre le système d'équations différentielles partielles qui décrit la performance d'un système d'adsorption avec cycles en pressin (PSA) pour la séparation des constituants de l'air sur un tamis moléculaire de carbone. On montre qu'en termes de temps de calcul il y a peu de différences entre les méthodes de collocation simple et double, mais qu'à précision comparable, ces deux méthodes sont beaucoup plus rapides que la méthode des différences finies.

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