Modelling multicomponent adsorption process by a moving finite element method

Journal of Computational and Applied Mathematics

Volumn 115, Issue 1-2, 2000, Pages 169-179

  Carmo Coimbra, Maria Do ^a   Sereno, Carlos ^b   Rodrigues, Alírio ^a  

^a UNIVERSITY OF PORTO   (Portugal)

^b UNIVERSITY OF BEIRA INTERIOR   (Portugal)

Author keywords

Moving finite element; Multicomponent adsorption; Polynomial approximation; Steep moving front

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; GALERKIN METHODS; MATHEMATICAL MODELS; PIECEWISE LINEAR TECHNIQUES; POLYNOMIALS;

BINARY CHROMATOGRAPHIC PROCESS; MOVING FINITE ELEMENT METHOD; MULTICOMPONENT ADSORPTION; SHOCK MOVING FRONTS; STEEP MOVING FRONT;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0034159154     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00171-5     Document Type: Article

References (15)

1. Baines M.J., Wathen A.J. Moving finite element method for evolutionary problems. I Theory. J. Comput. Phys. 79:1988;245-269.
2. M.J. Baines, Moving Finite Elements, Oxford University Press, UK, 1994.
3. Carlson N., Miller K. Design and application of a gradient-weighted moving finite element code in 1-D. SIAM J. Sci. Comput. 19:1998;728-765.
4. Carlson N., Miller K. Design and application of a gradient-weighted moving finite element code in 2-D. SIAM J. Sci. Comput. 19:1998;766-798.
5. M.C. Coimbra, C. Sereno, A. Rodrigues, Moving finite elements: Simulation of a pressurization of adsorption beds with a mixture of helium-methane, Proceedings of First Meeting on NMPDE, University of Coimbra, 1995, pp. 9-17.
6. Hindmarsh A.C. LSODE and LSODI, two new initial value ordinary differential equation solvers. ACM-SIGNUM Newslett. 15:1980;10-11.
7. P.K. Jimack, Finite element methods using high degree piecewise polynomials on continuously deforming grids, Ph.D. Thesis, University of Bristol, 1989.
8. Miller K. Moving finite elements, Part I. SIAM J. Numer. Anal. 18:1981;1019-1032.
9. K. Miller, Alternate modes to control the nodes in moving finite element methods, in: Adaptive Computational Methods for Partial Differential Equations, SIAM, Philadelphia, PA, 1983, pp. 165-182.
10. Miller K., Miller R.N. Moving finite elements, Part II. SIAM J. Numer. Anal. 18:1981;1033-1057.
11. R.M. Nicoud, G. Fuchs, E. Küsters, R. Reuille, E. Schmid, Preparative scale enantioseparation of a chiral epoxide: comparison of liquid chromatography and simulated moving bed adsorption technology, Third International Symposium on Chiral Discrimination, Tubingen, Germany, October 5-8, 1992.
12. H.K. Rhee, Equilibrium theory of multicomponent chromatography, in: A. Rodrigues, D. Tondeur (Eds.), Percolation Processes: Theory and applications, Sijthoff & Noordhoff, Alphen, 1980.
13. C. Sereno, Método dos elementos finitos móveis: aplicações em engenharia química, Ph.D. Thesis, University of Porto, 1989.
14. Sereno C., Rodrigues A., Villadsen J. The moving finite element method with polynomial approximation of any degree. Comput. Chem. Eng. 15:1991;25-33.
15. Sereno C., Rodrigues A., Villadsen J. Solution of partial differential equations systems by the moving finite element method. Comput. Chem. Eng. 16:1992;583-592.