Unconstrained paving and plastering method for generating finite element meshes

Staten, Matthew L; Owen, Steven J; Blacker, Teddy D; Kerr, Robert

Unconstrained paving and plastering method for generating finite element meshes

Patent · Mon Mar 01 23:00:00 EST 2010

OSTI ID:1014518

Staten, Matthew L ^[1]; Owen, Steven J ^[1]; Blacker, Teddy D ^[1]; Kerr, Robert ^[1]

Albuquerque, NM

Computer software for and a method of generating a conformal all quadrilateral or hexahedral mesh comprising selecting an object with unmeshed boundaries and performing the following while unmeshed voids are larger than twice a desired element size and unrecognizable as either a midpoint subdividable or pave-and-sweepable polyhedra: selecting a front to advance; based on sizes of fronts and angles with adjacent fronts, determining which adjacent fronts should be advanced with the selected front; advancing the fronts; detecting proximities with other nearby fronts; resolving any found proximities; forming quadrilaterals or unconstrained columns of hexahedra where two layers cross; and establishing hexahedral elements where three layers cross.

Research Organization:: Sandia Corporation (Albuquerque, NM)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC04-94AL85000

Assignee:: Sandia Corporation (Albuquerque, NM)

Patent Number(s):: 7,671,858

Application Number:: U S Patent Application 11/515,978

OSTI ID:: 1014518

Country of Publication:: United States

Language:: English

References (10)

A grid-based algorithm for the generation of hexahedral element meshes Schneiders, R. Engineering with Computers, Vol. 12, Issue 3-4 https://doi.org/10.1007/BF01198732	journal	September 1996
Paving: A new approach to automated quadrilateral mesh generation Blacker, Ted D.; Stephenson, Michael B. International Journal for Numerical Methods in Engineering, Vol. 32, Issue 4 https://doi.org/10.1002/nme.1620320410	journal	September 1991
Plastering - A new approach to automated, 3-D hexahedral mesh generation Canann, Scott 33rd Structures, Structural Dynamics and Materials Conference https://doi.org/10.2514/6.1992-2416	conference	February 2013
Seams and wedges in plastering: A 3-D hexahedral mesh generation algorithm Blacker, Ted D.; Meyers, Ray J. Engineering with Computers, Vol. 9, Issue 2 https://doi.org/10.1007/BF01199047	journal	June 1993
A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis Cifuentes, A. O.; Kalbag, A. Finite Elements in Analysis and Design, Vol. 12, Issue 3-4 https://doi.org/10.1016/0168-874X(92)90040-J	journal	December 1992
Integration of Mesh Optimization with 3D All-Hex Mesh Generation, LDRD Subcase 3504340000, Final Report Knupp, Patrick; Mitchell, Scott A. https://doi.org/10.2172/14930	report	November 1999
6th International Meshing Roundtable '97 White, D. https://doi.org/10.2172/830	report	September 1997
The Whisker Weaving Algorithm: a Connectivity-Based Method for Constructing All-Hexahedral Finite Element Meshes Tautges, T. J.; Blacker, T.; Mitchell, S. A. International Journal for Numerical Methods in Engineering, Vol. 39, Issue 19 https://doi.org/10.1002/(SICI)1097-0207(19961015)39:19<3327::AID-NME2>3.0.CO;2-H	journal	October 1996
Hexahedral meshing using midpoint subdivision and integer programming Li, T. S.; McKeag, R. M.; Armstrong, C. G. Computer Methods in Applied Mechanics and Engineering, Vol. 124, Issue 1-2 https://doi.org/10.1016/0045-7825(94)00758-F	journal	June 1995
Unconstrained Paving & Plastering: A New Idea for All Hexahedral Mesh Generation Staten, Matthew L.; Owen, Steven J.; Blacker, Ted D. Proceedings of the 14th International Meshing Roundtable https://doi.org/10.1007/3-540-29090-7_24	book	January 2005

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