Title: Application of multifrontal and GMRES solvers for multi-size particulate flow in rotating channels

Authors: Pankaj K. Gupta, Krishnan V. Pagalthivarthi

Addresses: Department of Mechanical Engineering, MVGR College Chintalavalasa, Vizianagaram, 535005, India. ' GIW Industries, Inc., Grovetown, GA 30813, USA

Abstract: The study deals with the quantification of computational demands of predicting volume-averaged multi-size particulate flow in rotating 2D channels using Galerkin finite element method. The performances of multifrontal (UMFPACK 4.4) direct solver and preconditioned recursive Generalised Minimum Residual (GMRES) solver are compared. For problems with large number of elements, GMRES is found to take 70–80% less computation time than the direct multifrontal solver. With a view to studying 3D problems, comparisons between preconditioned ILU(k) and GMRES are also included for non-linear heat conduction. Results show that GMRES could be competitive for 3D problems as well under certain circumstances.

Keywords: GMRES; preconditioner; UMFPACK 4.4; multifrontal direct solver; multi-size particulate flow; rotating channels; generalised minimum residual solver; nonlinear heat conduction; Eulerian-Eulerian modelling; CFD; computational fluid dynamics.

DOI: 10.1504/PCFD.2007.014682

Progress in Computational Fluid Dynamics, An International Journal, 2007 Vol.7 No.6, pp.323 - 336

Published online: 25 Jul 2007 *

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