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New applications of the verdict library for standardized mesh verification pre, post, and end-to-end processing

Proceedings of the 16th International Meshing Roundtable, IMR 2007

Pébay, Philippe P.; Thompson, David; Shepherd, Jason F.; Knupp, Patrick K.; Lisle, Curtis; Magnotta, Vincent A.; Grosland, Nicole M.

Verdict is a collection of subroutines for evaluating the geometric qualities of triangles, quadrilaterals, tetrahedra, and hexahedra using a variety of functions. A quality is a real number assigned to one of these shapes depending on its particular vertex coordinates. These functions are used to evaluate the input to finite element, finite volume, boundary element, and other types of solvers that approximate the solution to partial differential equations defined over regions of space. This article describes the most recent version of Verdict and provides a summary of the main properties of the quality functions offered by the library. It finally demonstrates the versatility and applicability of Verdict by illustrating its use in several scientific applications that pertain to pre, post, and end-to-end processing.

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TYPE Conference YEAR 2008
ScopusOSTI

Methods and applications of generalized sheet insertion for hexahedral meshing

Proceedings of the 16th International Meshing Roundtable, IMR 2007

Merkley, Karl; Ernst, Corey; Shepherd, Jason F.; Borden, Michael J.

This paper presents methods and applications of sheet insertion in a hexahedral mesh. A hexahedral sheet is dual to a layer of hexahedra in a hexahedral mesh. Because of symmetries within a hexahedral element, every hexahedral mesh can be viewed as a collection of these sheets. It is possible to insert new sheets into an existing mesh, and these new sheets can be used to define new mesh boundaries, refine the mesh, or in some cases can be used to improve quality in an existing mesh. Sheet insertion has a broad range of possible applications including mesh generation, boundary refinement, R-adaptivity and joining existing meshes. Examples of each of these applications are demonstrated.

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TYPE Conference YEAR 2008
ScopusOSTI

Mesh matching - Creating conforming interfaces between hexahedral meshes

Proceedings of the 17th International Meshing Roundtable, IMR 2008

Staten, Matthew L.; Shepherd, Jason F.; Shimada, Kenji

This paper presents a new method for handling non-conforming hexahedralto- hexahedral interfaces. One or both of the adjacent hexahedralmeshes are locally modified to create a one-to-onemapping between between themesh nodes and quadrilaterals at the interface allowing a conforming mesh to be created. In the finite element method, non-conforming interfaces are currently handled using constraint conditions such as gapelements, tied contacts, or multi-point constraints. By creating a conforming mesh, the need for constraint conditions is eliminated resulting in a smoother, more precise numerical solution. The method presented in this paper uses hexahedral dual operations, including pillowing, sheet extraction, dicing and column collapse operations, to affect the local mesh modifications. In addition, an extension to pillowing, called sheet inflation, is introduced to handle the insertion of self-intersecting and self-touching sheets. The quality of the resultant conforming hexahedral mesh is high and the increase in number of elements is moderate.

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TYPE Conference YEAR 2008
ScopusOSTI
Results 1–25 of 31
Results 1–25 of 31