Summary
Parallelizable numerical methods for solving large scale DAE systems are considered at the level of differential, nonlinear and linear equations. The problem of subsystem-wise partitioning based on unit-oriented modelling is discussed. The partitioning is used to parallelize waveform relaxation and block Jacobi-Newton type methods. Newton’s method has been implemented on a parallel computer Cray T3D to compute initial values. To solve large sparse systems of linear equations a parallelized Gaussian elimination method using pseudo-code generation techniques is installed on a vector computer Cray Y-MP and Cray T3D. The methods were tested by means of examples delivered with SPEEDUP.
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© 1996 Springer-Verlag Berlin Heidelberg
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Grund, F., Borchardt, J., Horn, D., Michael, T., Sandmann, H. (1996). Differential-algebraic systems in the chemical process simulation. In: Keil, F., Mackens, W., Voß, H., Werther, J. (eds) Scientific Computing in Chemical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80149-5_8
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DOI: https://doi.org/10.1007/978-3-642-80149-5_8
Publisher Name: Springer, Berlin, Heidelberg
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