Abstract
The essential features needed to construct an efficient integrator for dynamic simulation problems arising in the gas/ oil industry are examined. A series of numerical experiments are performed using two widely used codes: DASSL [8] and SPRINT [1], that are designed to solve differential-algebraic equations. From these experiments, a number of improvements to the codes have been identified and incorporated in a new integrator.
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Berzins M., Dew P.M., and Furzeland R.M. (1986), Developing P.D.E. Software Using The Method of Lines and Differential Algebraic Integrators. High-lighted Talk presented at 1986 O.D.E. Conference, Albuquerque, New Mexico, July 1986 (to appear in Appl. Numer. Math.).
Berzins M., Dew P.M., Preston A.J., (1988), Integration Algorithms for the Dynamic Simulation of Production Processes, Report 88.20, School of Computer Studies, Leeds University, Leeds LS2 9JT.
Capstick M.A., (1987), On Improving the Performance of Dynamic Process Simulators, Ph. D. Thesis, Departments of Chem. Eng. and Comp. Studies, Leeds University, Leeds LS2 9JT.
Gear C.W., (1971), Numerical Initial Value Problems in Ordinary Differential Equations, Prentice Hall, Englewood Cliffs, NJ, U.S.A.
Gear C.W., Petzold L.R., (1984), ODE Methods for the solution of Differential/Algebraic Systems, SIAM Journal on Numerical Analysis, 21, pp. 716–728.
Gupta G.K., Gear C.W., Leimkuhler B., (1985), Implementing Linear Multistep Formulas for solving D.A.E.s, Report UIUCDCS-R-85–1205, Department of Computer Science, University of Illinois, Urbana IL61801.
Hindmarsh A.C., (1981), O.D.E Solvers for use with the method of lines, Advances in Computer Methods for Partial Differential Equations IV, R. Vichnevetsky and R.S. Stepleman, eds., IMACS, New Brunswick, NJ, pp. 312–316.
Petzold L.R., (1982), A Description of DASSL: A Differential-Algebraic System Solver, SAND82–8637, Applied maths division 8331, Sandia National Laboratories, Livermore, California C.A 94550.
Petzold L.R., Listedt P., (1983), Numerical solution of Nonlinear Differential Equations with Algebraic Constraints, Report SAND 83–8877, SSISC, Sandia National Laboratories, Livermore, California C.A 94550.
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© 1990 B. G. Teubner Stuttgart and Kluwer Academic Publishers
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Berzins, M., Dew, P.M., Preston, A.J. (1990). Integration Algorithms for the Dynamic Simulation of Production Processes. In: Manley, J., McKee, S., Owens, D. (eds) Proceedings of the Third European Conference on Mathematics in Industry. European Consortium for Mathematics in Industry, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0629-7_26
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DOI: https://doi.org/10.1007/978-94-009-0629-7_26
Publisher Name: Springer, Dordrecht
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