Three-dimensional desingularized boundary integral methods for potential problems

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dc.contributor.author Cao, Yusong en_US
dc.contributor.author Schultz, William W. en_US
dc.contributor.author Beck, Robert F. en_US
dc.date.accessioned 2007-04-06T18:38:16Z
dc.date.available 2007-04-06T18:38:16Z
dc.date.issued 1991-05-05 en_US
dc.identifier.citation Cao, Yusong; Schultz, William W.; Beck, Robert F. (1991)."Three-dimensional desingularized boundary integral methods for potential problems." International Journal for Numerical Methods in Fluids 12(8): 785-803. <http://hdl.handle.net/2027.42/50203> en_US
dc.identifier.issn 0271-2091 en_US
dc.identifier.issn 1097-0363 en_US
dc.identifier.uri http://hdl.handle.net/2027.42/50203
dc.description.abstract The concept of desingularization in three-dimensional boundary integral computations is re-examined. The boundary integral equation is desingularized by moving the singular points away from the boundary and outside the problem domain. We show that the desingularization gives better solutions to several problems. As a result of desingularization, the surface integrals can be evaluated by simpler techniques, speeding up the computation. The effects of the desingularization distance on the solution and the condition of the resulting system of algebraic equations are studied for both direct and indirect versions of the boundary integral method. Computations show that a broad range of desingularization distances gives accurate solutions with significant savings in the computation time. The desingularization distance must be carefully linked to the mesh size to avoid problems with uniqueness and ill-conditioning. As an example, the desingularized indirect approach is tested on unsteady non-linear three-dimensional gravity waves generated by a moving submerged disturbance; minimal computational difficulties are encountered at the truncated boundary. en_US
dc.format.extent 942872 bytes
dc.format.extent 3118 bytes
dc.format.mimetype application/pdf
dc.format.mimetype text/plain
dc.publisher John Wiley & Sons, Ltd en_US
dc.subject.other Engineering en_US
dc.subject.other Engineering General en_US
dc.title Three-dimensional desingularized boundary integral methods for potential problems en_US
dc.type Article en_US
dc.rights.robots IndexNoFollow en_US
dc.subject.hlbsecondlevel Mathematics en_US
dc.subject.hlbtoplevel Science en_US
dc.description.peerreviewed Peer Reviewed en_US
dc.contributor.affiliationum University of Michigan, Ann Arbor, MI 48109, U.S.A. en_US
dc.contributor.affiliationum University of Michigan, Ann Arbor, MI 48109, U.S.A. en_US
dc.contributor.affiliationum University of Michigan, Ann Arbor, MI 48109, U.S.A. en_US
dc.description.bitstreamurl http://deepblue.lib.umich.edu/bitstream/2027.42/50203/1/1650120807_ftp.pdf en_US
dc.identifier.doi http://dx.doi.org/10.1002/fld.1650120807 en_US
dc.identifier.source International Journal for Numerical Methods in Fluids en_US
dc.owningcollname Interdisciplinary and Peer-Reviewed
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