Multigrid third-order least-squares solution of Cauchy–Riemann equations on unstructured triangular grids
dc.contributor.author | Nishikawa, Hiroaki | en_US |
dc.date.accessioned | 2007-09-20T17:55:39Z | |
dc.date.available | 2008-04-03T18:45:08Z | en_US |
dc.date.issued | 2007-01-30 | en_US |
dc.identifier.citation | Nishikawa, H. (2007). "Multigrid third-order least-squares solution of Cauchy–Riemann equations on unstructured triangular grids." International Journal for Numerical Methods in Fluids 53(3): 443-454. <http://hdl.handle.net/2027.42/55882> | en_US |
dc.identifier.issn | 0271-2091 | en_US |
dc.identifier.issn | 1097-0363 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/55882 | |
dc.description.abstract | In this paper, a multigrid algorithm is developed for the third-order accurate solution of Cauchy–Riemann equations discretized in the cell-vertex finite-volume fashion: the solution values stored at vertices and the residuals defined on triangular elements. On triangular grids, this results in a highly overdetermined problem, and therefore we consider its solution that minimizes the residuals in the least-squares norm. The standard second-order least-squares scheme is extended to third-order by adding a high-order correction term in the residual. The resulting high-order method is shown to give sufficiently accurate solutions on relatively coarse grids. Combined with a multigrid technique, the method then becomes a highly accurate and efficient solver. We present some results to demonstrate its accuracy and efficiency, including both structured and unstructured triangular grids. Copyright © 2006 John Wiley & Sons, Ltd. | en_US |
dc.format.extent | 346462 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 | Numerical Methods and Modeling | en_US |
dc.title | Multigrid third-order least-squares solution of Cauchy–Riemann equations on unstructured triangular grids | 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 | W. M. Keck Foundation Laboratory for Computational Fluid Dynamics, Department of Aerospace Engineering, University of Michigan, FXB Building, 1320 Beal Avenue, Ann Arbor, MI 48109-2140, U.S.A. ; FXB 1320 Beal Avenue, Ann Arbor, MI 48109-2140, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/55882/1/1287_ftp.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1002/fld.1287 | en_US |
dc.identifier.source | International Journal for Numerical Methods in Fluids | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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