p-version least-squares finite element formulation of a system of convection-reaction nonlinear equations - Fixed bed o-xylene oxidation

Computers and Structures

Volumn 62, Issue 3, 1997, Pages 539-554

  Vijayaraghavan, K ^a   Surana, K S ^a  

^a University of Kansas   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC PRESSURE; CHEMICAL REACTORS; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; FLUIDIZED BEDS; HEAT CONVECTION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PRESSURE MEASUREMENT; XYLENE;

FIXED BED REACTOR; LEAST SQUARE FINITE ELEMENT FORMULATION (LSFEF); NEWTON METHOD;

OXIDATION;

EID: 0031076444     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00216-7     Document Type: Article

References (37)

1. P. H. Calderbank, K. Chandrasekharan and C. Fumagalli, The prediction of the performance of packed-bed catalytic reactors in the air-oxidation of o-xylene. Chem. Engng Sci. 32, 1435-1443 (1977).
2. K. Chandrasekharan and P. H. Calderbank, Prediction of packed bed catalytic reactor performance for a complex reaction (oxidation of o-xylene to phthalic anhydride). Chem. Engng Sci. 34, 1323-1331 (1979).
3. V. Nikolov, A. Anastasov and D. Elenkov, A new approach to the oxidation of o-xylene into phthalic anhydride in a fixed bed of vanadium-titanium catalyst. Chem. Engng Process 24, 157-162 (1988).
4. M. Morbidelli and A. Varma, On parametric sensitivity and runaway criteria of pseudohomogenous tubular reactors. Chem. Engng Sci. 40, 2165-2168 (1985).
5. H. A. Deans and L. Lapidus, A computational model for predicting and correlating the behavior of fixed bed reactors: I. Derivation of model for nonreactive systems, AIChE J. 6, 656-663 (1960).
6. H. A. Deans and L. Lapidus, A computational model for predicting and correlating the behavior of fixed-bed reactors. II. Extension to chemically reactive systems, AIChE J. 6, 663-668 (1960).
7. B. A. Finlayson, Packed bed reactor analysis by orthogonal collection. Chem. Engng Sci. 26, 1082-1091 (1971).
8. G. F. Fromont and K. B. Bischoff, Chemical Reactor Analysis and Design. Wiley, New York 1979.
9. R. F. Heinemann and A. B. Poore, Multiplicity, stability and oscillator dynamics of the tubular reactor. Chem. Engng Sci. 36, 1411-1419 (1981).
10. K. F. Jensen and W. H. Ray, The bifurcation behavior of tubular reactors. Chem. Engng Sci. 37, 199-222 (1982).
11. R. Mihail and C. Iordache, Performances of some numerical techniques used for simulation of fixed bed catalystic reactors. Chem. Engng Sci. 31, 83-86 (1976).
12. V. Pinjala, Wrong-way behavior in fixed bed catalystic reactors: pseudo-homogenious dispersion model. Ph.D. thesis, Chemical Engineering Department, University of Houston, Houston, TX (1985).
13. M. S. Wainwright and N. R. Foster, Catalysis, kinetics and reactor design in phthalic anhydride synthesis. Catal. Rev. Sci. Engng 19, 211-292 (1979).
14. G. F. Froment, Fixed bed catalytic reactors. Ind. Engng Chem. 59, 18-27 (1967).
15. K. Vijayaraghavan, Numerical simulation of fixed bed o-xylene oxidation using the p-version least-squares finite element method. M.S. thesis, University of Kansas, Lawrence, KS (1994).
16. M. J. D. Powell, Comput. J. 7, 155 (1964).
17. C. G. Broyden, Comput. J. 12, 94 (1969).
18. V. Hlavacek, Aspects in design of packed catalytic reactors. Ind. Engng Chem. 62, 9-26 (1970).
19. G. W. Stewart, J. Assoc. Comput. Mach. 14, 72 (1964).
20. K. S. Surana, Finite element method in fluid dynamics. ME 969 class notes, University of Kansas, Lawrence, KS (1994).
21. T. J. R. Hughes and A. N. Brooks, A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application of the streamline upwind procedure. In: Finite Elements in Fluids (Edited by R. H. Gallagher, D. N. Norrie, J. T. Oden and O. C. Zienkiewicz). Wiley, Chichester (1982).
22. T. J. R. Hughes and M. Mallet, Y. Taki, T. Texduyar and R. Zanutta, A one-dimensional shock capturing finite element method and multi-dimensional generalizations. In: Numerical Methods for the Euler Equations of Fluid Dynamics (Edited by F. Angrand, A. Dervieus, J. A. Desideri and R. Glowinski), pp. 371-408. SIAM, Philadelphia, PA (1985).
23. T. J. R. Hughes, M. Mallet and A. Mizukami, A new finite element formulation for computational fluid dynamics: II. Beyond SUPG. Comput. Meth. appl. Mech. Engng 54, 341-355 (1986).
24. T. J. R. Hughes, M. Mallet and L. Franca, New finite element methods for the compressible Euler equation. In: Computing Methods in Applied Sciences and Engineerings (Edited by R. Blowinski and J. L. Lions), Vol. 7. North-Holland, Amsterdam (1986).
25. T. J. R. Hughes and A. Brooks, A multidimensional upwind scheme with no crosswind diffusion. In: Finite Element Methods for Convection Dominated Flows (Edited by T. J. R. Hughes), pp. 19-35. ASME, New York (1979).
26. A. N. Brooks and T. J. R. Hughes, Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput. Meth. appl. Mech. Engng 32, 199-259 (1982).
27. T. E. Tezduyar and T. J. R. Hughes, Finite element formulations for convection dominated flows with particular emphasis on the compressible Euler equations. In: Proc. AIAA 21st Aerospace Sciences Meet. AIAA Paper 83-0125, Reno, NV (1983).
28. T. E. Tezduyar and Y. J. Park, Discontinuity - capturing finite element formulations for non-linear convection diffusion reaction equations. Comput. Meth. appl. Mech. Engng 59, 307-325, 1986.
29. D. Winterschedit and K. S. Surana, p-Version least-squares finite element formulation of Burgers' equation. Int. J. numer. Meth. Engng 36, 3629-3646 (1993).
30. D. Winterscheidt and K. S. Surana, p-Version least-squares finite element formulation for convection-diffusion problems. Int. J. numer. Meth. Engng 36, 111-133 (1993).
31. D. Winterscheidt and K. S. Surana, p-Version least-squares finite element formulation for two-dimensional, incompressible fluid flow. Int. J. numer. Meth. Fluids 18, 43-69 (1994).
32. B. C. Bell and K. S. Surana, p-Version least-squares finite element formulation for two-dimensional, incompressible, non-Newtonian isothermal and nonisothermal fluid flow. Int. J. numer. Meth. Fluids 18, 127-162 (1994).
33. N. B. Edgar and K. S. Surana, p-Version least-squares finite element formulation for axisymmetric incompressible non-Newtonian fluid flow. Comput. Meth. appl. Mech. Engng 113, 271-300 (1994).
34. B. C. Bell and K. S. Surana, A space-time coupled p-version LSFEF for unsteady fluid dynamics. Int. J. numer. Meth. Engng 37, 3545-3569 (1994).
35. B. Bell and K. S. Surana, A p-version space-time coupled LSFEF for two-dimensional unsteady Newtonian fluid flow. In: ASME Winter Ann. Meet., New Orleans, LA (1993).
36. K. S. Surana, Finesse (FINite Element SyStEm) User's manual. University of Kansas, Lawrence, KS (1994).
37. J. S. Sandhu, Investigation of numerical disperison in p-version least-squares finite element method. M.S. thesis, University of Kansas, Lawrence, KS (1994).