A frontal approach for internal node generation in Delaunay triangulations
dc.contributor.author | Müller, J. -D. | en_US |
dc.contributor.author | Roe, Philip L. | en_US |
dc.contributor.author | Deconinck, Herman | en_US |
dc.date.accessioned | 2007-04-06T18:38:59Z | |
dc.date.available | 2007-04-06T18:38:59Z | |
dc.date.issued | 1993-08-15 | en_US |
dc.identifier.citation | MÜller, J.-D.; Roe, P. L.; Deconinck, H. (1993)."A frontal approach for internal node generation in Delaunay triangulations." International Journal for Numerical Methods in Fluids 17(3): 241-255. <http://hdl.handle.net/2027.42/50209> | en_US |
dc.identifier.issn | 0271-2091 | en_US |
dc.identifier.issn | 1097-0363 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/50209 | |
dc.description.abstract | The past decade has known an increasing interest in the solution of the Euler equations on unstructured grids due to the simplicity with which an unstructured grid can be tailored around very complex geometries and be adapted to the solution. It is desirable that the mesh can be generated with minimum input from the user, ideally, just specifying the boundary geometry and, perhaps, a function to prescribe some desired mesh size. The internal nodes should then be found automatically by the grid generation code. The approach we propose here combines the Delaunay triangulation with ideas from the advancing front method of Peraire et al. and LÖhner et al . Both methods are briefly reviewed in Section 1. Our method uses a background grid to interpolate local mesh size parameters that is taken from the triangulation of the given boundary nodes. Geometric criteria are used to find a set of nodes in a frontal manner. This set is subsequently introduced into the existing mesh, thus providing an update Delaunay triangulation. The procedure is repeated until no more improvement of the grid can be achieved by inserting new nodes. | en_US |
dc.format.extent | 998683 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 | A frontal approach for internal node generation in Delaunay triangulations | 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 | Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140, U.S.A. ; Von Karman Institute, 72 ChaussÉe de Waterloo, B-1640 Rhode-Saint-GenÈse, Belgium | en_US |
dc.contributor.affiliationum | Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140, U.S.A. | en_US |
dc.contributor.affiliationother | Von Karman Institute for Fluid Dynamics, 72, ChaussÉe de Waterloo, B-1640 Rhode-Saint-GenÈse, Belgium | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/50209/1/1650170305_ftp.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1002/fld.1650170305 | en_US |
dc.identifier.source | International Journal for Numerical Methods in Fluids | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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