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Many-body effects and matrix inversion in low-Reynolds-number hydrodynamics

Ichiki, Kengo and Brady, John F. (2001) Many-body effects and matrix inversion in low-Reynolds-number hydrodynamics. Physics of Fluids, 13 (1). pp. 350-353. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:ICHpof01

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Abstract

It is shown that the method of reflections in resistance form (with truncated multipoles) is one of many possible iterative methods to obtain the inverse of the mobility matrix (with the same truncation) in low-Reynolds-number hydrodynamics. Although the method of reflections in the mobility form is guaranteed to converge, it is found that in the resistance form the method may fail to converge. This breakdown is overcome by conjugate-gradient-type iterative methods, and the implications of the iterative method for low-Reynolds-number hydrodynamics are discussed.


Item Type:Article
Additional Information:©2001 American Institute of Physics. (Received 5 August 1999; accepted 3 October 2000) This work was supported by the Japan Society for the Promotion of Science and by funds from Kodak.
Subject Keywords:iterative methods; hydrodynamics; convergence of numerical methods; matrix inversion; many-body problems; computational fluid dynamics
Issue or Number:1
Record Number:CaltechAUTHORS:ICHpof01
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ICHpof01
Alternative URL:http://doi.acm.org/10.1145/509907.50991310.1063/1.1331320
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3142
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:16 May 2006
Last Modified:26 Dec 2012 08:52

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