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                                                        CHEMICAL ENGINEERING
                           But, computational difficulties can arise due to the iterative methods used to solve recycle
                           problems and obtain convergence. A major limitation of modular-sequential simulators is
                           the inability to simulate the dynamic, time dependent, behaviour of a process.
                             Equation based, dynamic, simulators require appreciably more computing power than
                           steady-state simulators; to solve the thousands of differential equations needed to describe
                           a process, or even a single item of equipment. However, with the development of fast
                           powerful machines this is no longer a restriction. By their nature, equation based programs
                           do not experience the problems of recycle convergence inherent in sequential simulators.
                           But, as temperature, pressure and flow-rate are not fixed and the input of one unit is not
                           determined by the calculated output from the previous unit in the sequence, as with steady-
                           state simulators, equation based programs are more time demanding on computer time.
                           This has led to the development of hybrid programs in which the steady-state simulator
                           is used to generate the initial conditions for the dynamic simulation.
                             The principal advantage of equation based, dynamic, simulators is their ability to model
                           the unsteady-state conditions that occur at start-up and during fault conditions. Dynamic
                           simulators are being increasingly used for safety studies and in the design of control
                           systems.
                             The structure of a typical simulation program is shown in Figure 4.4.


                                                                Data input

                                             Equipment
                                             sub-routines
                                             Library and
                                             specials
                                             Thermodynamic
                                             sub-routines
                                                                                Data
                                             Convergence                        output
                                             promotion
                                             sub-routines            Executive program (organisation of the problem)
                                             Physical
                                             property
                                             data files
                                             Cost data
                                             files



                                                  Figure 4.4.  A typical simulation program

                           The program consists of:

                             1. A main executive program; which controls and keeps track of the flow-sheet calcu-
                                lations and the flow of information to and from the sub-routines.
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