Effectiveness of iterative solution strategies for the high frequency response of fluid-loaded structures

Authors:
Yuan Lin;Karl Grosh
Affiliations:
Department of Mechanical Engineering, University of Michigan, 2250 GG Brown Bldg., 2350 Hayward Street, Ann Arbor, MI;Department of Mechanical Engineering, University of Michigan, 2250 GG Brown Bldg., 2350 Hayward Street, Ann Arbor, MI
Venue:
Finite Elements in Analysis and Design
Year:
2003

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Abstract

The effectiveness of iterative solution strategies for the three-dimensional high frequency response of fluid-loaded structures formulated by the finite element method is investigated. Element-by-element sparse matrix storage was implemented and combined with the QMR iterative algorithm to solve the computationally intensive complex linear equations. To remedy the ill-conditioning caused by the fine mesh and vastly different spatial scales of the structures and fluid medium, two different preconditioning techniques are studied. The numerical experiments show that the SSOR preconditioner is the most cost efficient strategy though the ILU factorization is generally more effective in reducing the iteration counts. Also, the simple ILU(0) preconditioner is shown to be more efficient and reliable than recently developed ILUT(p, τ) preconditioner.