A hybrid direct-iterative linear solver for chemical process simulation
Cofer, Haruna Nakamura
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https://hdl.handle.net/2142/19452
Description
Title
A hybrid direct-iterative linear solver for chemical process simulation
Author(s)
Cofer, Haruna Nakamura
Issue Date
1995
Doctoral Committee Chair(s)
Stadtherr, Mark A.
Department of Study
Chemical and Biomolecular Engineering
Discipline
Chemical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Chemical
Language
eng
Abstract
This dissertation presents the results of developing a hybrid direct-iterative linear solver to solve the sparse linear equation systems arising in chemical process simulation. The motivation for this work is to enable simulations of large, complex, and realistic models requiring the computing power of high performance machines. The objective is carried out by combining the reliability of direct sparse linear methods (e.g., Gaussian elimination) with the efficiency of iterative sparse linear methods (e.g., Krylov subspace methods). The new hybrid solver is implemented in the SEQUEL-II, ASPEN PLUS$\sp{\rm TM}$, and SPEEDUP$\sp{\rm TM}$ programs and evaluated in terms of its overall effectiveness in reducing the total simulation time.
The results of the above computational experiments indicate that the hybrid solver is generally successful in reducing the total solution time of the SEQUEL-II and ASPEN PLUS$\sp{\rm TM}$ programs. The effect of the hybrid solver on improving the performance of SPEEDUP$\sp{\rm TM}$, though, is not definitive and is still unclear. Further work to improve the performance of the hybrid solver is, however, concluded to be both beneficial and necessary to solve future large-scale problems. In particular, the hybrid strategy may be very well-suited for traditional scalar workstations and symmetric multiprocessing computers.
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