Complex domain chemical process simulation in theory and in practice

Industrial and Engineering Chemistry Research

Volumn 39, Issue 6, 2000, Pages 1713-1722

  Lucia, Angelo ^a  

^a University of Rhode Island   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; EQUATIONS OF STATE; ITERATIVE METHODS; MATHEMATICAL MODELS; NUMERICAL METHODS; PROCESS CONTROL;

COMPLEX DOMAIN CHEMICAL PROCESS; PROCESS FEASIBILITY;

PROCESS ENGINEERING;

ARTICLE; CHEMICAL REACTION; DYNAMICS; MATHEMATICAL COMPUTING; SIMULATION; SIMULATOR; STEADY STATE; THEORY;

EID: 0034131063     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie990655c     Document Type: Article

References (23)

1. Lucia, A.; Guo, X.; Richey, P. J.; Derebail, R. Simple Process Equations, Fixed-Point Methods, and Chaos. AIChE J. 1990, 36, 641.
2. Cayley, A. The Newton-Fourier Imaginary Problem. Am. J. Math. 1879, 2, 97.
3. Lucia, A.; Xu, J. Global Minima in Root Finding. In Recent Advances in Global Optimization; Floudas, C. A., Pardalos, P. M., Eds.; Princeton University Press: Princeton, NJ, 1992.
4. Lucia, A.; Guo, X.; Wang, X. Process Simulation in the Complex Domain. AIChE J. 1993, 39, 461.
5. Guo, X. Issues in Complex Domain Process Simulation. Ph.D. Thesis, Clarkson University, Potsdam, NY, 1995.
6. Lucia, A.; Taylor, R. Complex Iterative Solutions to Process Model Equations? Comput. Chem. Eng. 1992, 16S, 387.
7. Lucia, A.; Wang, X. Complex Domain Process Dynamics. Ind. Eng. Chem. Res. 1995, 34, 202.
8. Wang, X. Chaos in Several Dimensions, M.S. Thesis, Clarkson University, Potsdam, NY, 1995.
9. Sridhar, L. N.; Lucia, A. Process Analysis in the Complex Domain. AIChE J. 1995, 41, 585.
10. Taylor, R.; Achuthan, K.; Lucia, A. Complex Domain Distillation Calculations. Comput. Chem. Eng. 1996, 20, 93.
11. Gow, A. S.; Guo, X.; Liu, D.; Lucia, A. Simulation of Refrigerant Phase Equilibria. Ind. Eng. Chem. Res. 1997, 36, 2841.
12. Lucia, A.; Liu, D. An Acceleration Method for Dogleg Methods in Simple Singular Regions. Ind. Eng. Chem. Res. 1998, 37, 1358.
13. Lucia, A.; Liu, D. More Process Simulation in Singular Regions. Comput. Chem Eng. 1999, 235, 5367.
14. Liu, D. Improving the Numerical Performance of the Complex Dogleg Method in Singular Regions. M.S. Thesis, University of Rhode Island, Kingston, RI, 1997.
15. Liu, D. Chemical Process Simulation in Singular Regions. Ph.D. Thesis, University of Rhode Island, Kingston, RI, 2000.
16. Fatou, P. Sur les Equations Fonctionelle. Bull. Soc. Math France 1919, 47, 161.
17. Julia, G. Memoir sur l'Iteration des Function Rationelles. J. Math Pures Appl. 1918, 4, 47.
18. Curry, J. H.; Garnett, L.; Sullivan, D. On the Iteration of a Rational Function: Computer Experiments with Newton's Method. Commun. Math. Phys. 1983, 91, 267.
19. Powell, M. J. D. A Hybrid Method for Nonlinear Equations. In Numerical Methods for Nonlinear Algebraic Equations; Rabinowitz, P., Ed.; Gordon and Breach, Amsterdam, 1970.
20. Venkataraman, S.; Lucia, A. Solving Distillation Problems by Newton-like Methods. Comput. Chem. Eng. 1988, 12, 55.
21. Lucia, A.; Luo, Q. Binary Refrigerant-Oil Phase Equilibrium Using the SAFT Equation. Adv. Environ. Res. 1999, submitted for publication.
22. Venkataraman, S.; Lucia, A. Exploiting the Gibbs-Duhem Equation in Separation Calculations. AIChE J. 1986, 32, 1057.
23. Venkataraman, S.; Lucia, A. Avoiding Variable Scaling Problems Using the Gibbs-Helmholtz Equation. Comput. Chem. Eng. 1987, 11, 73.