Partitioned Transient Analysis Procedures for Coupled-Field Problems: Accuracy Analysis

[+] Author and Article Information
K. C. Park, C. A. Felippa

Applied Mechanics Laboratory, Lockheed Palo Alto Research Laboratory, 3251 Hanover Street, Palo Alto, Calif. 94304

J. Appl. Mech 47(4), 919-926 (Dec 01, 1980) (8 pages) doi:10.1115/1.3153814 History: Received September 01, 1979; Revised March 01, 1980; Online July 21, 2009


Partitioned solution procedures for direct time integration of second-order coupled-field systems are studied from the standpoint of accuracy. These procedures are derived by three formulation steps: implicit integration of coupled governing equations, partitioning of resulting algebraic systems and extrapolation on the right-hand partition. It is shown that the combined effect of partition, extrapolation, and computational paths governs the choice of stable extrapolators and preservation of rigid-body motions. Stable extrapolators for various computational paths are derived and implementation-extrapolator combinations which preserve constant-velocity and constant-acceleration rigid-body motions are identified. A spectral analysis shows that the primary error source introduced by a stable partition is frequency distortion. Finally, as a guide to practical applications, the advantages and shortcomings of five specific partitions are discussed.

Copyright © 1980 by ASME
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