Abstract

The convergence of the rate model of multi-component non-linear liquid chromatography is studied in detail. The key step of solving this model is to select the appropriate interpolation method, which determines the rapidity of convergence of the model. Two interpolation methods, the linear interpolation method and the three-point Lagrange interpolation method, are compared in calculating the model. The results show that when the Lagrange interpolation is used the efficiency of calculation is elevated significantly. The calculation converges quickly at low finite element number. On a etudie en detail la convergence du modele de vitesse de la chromatographie liquide non lineaire a composantes multiples. L'etape cle dans la resolution de ce modele est de selectionner la methode d'interpolation appropriee, laquelle determine la rapidite de convergence du modele. Deux methodes d'interpolation, la methode d'interpolation lineaire et la methode de Lagrange a trois points, sont comparees lors du calcul du modele. Les resultats montrent qu'avec l'interpolation de Lagrange, l'efficacite du calcul est beaucoup plus elevee. Les calculs convergent rapidement pour un petit nombre d'elements finis.

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