A Novel Mesh Regeneration Using Structural Deformation Analysis for 3-D Shape Optimization of Electromagnetic Devices

Yao, Yingying; Ryu, Jae Seop; Koh, Chang Seop; Xie, Dexin

doi:10.1109/tmag.2004.825288

Cited by 11 publications

(2 citation statements)

References 7 publications

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“…Still others make use of implicit functions to create conforming meshes [56,57,55,11,61,62,92] as well as adaptive methods to create meshes adapted to the local feature size [38,46]. Some of these methods also include mesh smoothing operations (see [19,58,71,94] for more smoothing methods).…”

Section: Literature Overviewmentioning

confidence: 99%

A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes

Nochetto

Walker

2010

Journal of Computational Physics

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We present a method for generating 2-D unstructured triangular meshes that undergo large deformations and topological changes in an automatic way. We employ a method for detecting when topological changes are imminent via distance functions and shape skeletons. When a change occurs, we use a level set method to guide the change of topology of the domain mesh. This is followed by an optimization procedure, using a variational formulation of active contours, that seeks to improve boundary mesh conformity to the zero level contour of the level set function. Our method is advantageous for Arbitrary-Lagrangian-Eulerian (ALE) type methods and directly allows for using a variational formulation of the physics being modeled and simulated, including the ability to account for important geometric information in the model (such as for surface tension driven flow). Furthermore, the meshing procedure is not required at every time-step and the level set update is only needed during a topological change. Hence, our method does not significantly affect computational cost.

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Section: Literature Overviewmentioning

confidence: 99%

A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes

Nochetto

Walker

2010

Journal of Computational Physics

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“…Another option for mesh generation uses implicit (level set) functions to create conforming meshes [46,47,45,10,50,51,63,35,36] as well as adaptive methods to create meshes adapted to the local feature size [7,28,33]. Some of these methods also include mesh smoothing operations (see [18,48,54,64,29] for more smoothing methods). An excellent detailed review of current meshing technology can be found in [35,36].…”

Section: Introductionmentioning

confidence: 99%

Tetrahedralization of Isosurfaces with Guaranteed-Quality by Edge Rearrangement (TIGER)

Walker¹

2013

SIAM J. Sci. Comput.

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We present a method for generating three-dimensional (3-D) unstructured tetrahedral meshes of solids whose boundary is a smooth surface. The method uses a background grid (bodycentered-cubic (BCC) lattice) from which to build the final conforming 3-D mesh. The algorithm is fast and robust and provides useful guaranteed dihedral angle bounds for the output tetrahedra. The dihedral angles are bounded between 8.5 • and 164.2 •. If the lattice spacing is smaller than the "local feature size," then the dihedral angles are between 11.4 • and 157.6 • (cf. Labelle and Shewchuk [SIGGRAPH '07, ACM, New York, 2007]). The method is simple to implement and performs no extra refinement of the background grid. The most complicated mesh transformations are 4-4 edge flips. Moreover, the only parameter in the method is the BCC lattice spacing. If the surface has bounded curvature and if the background grid is sufficiently fine, then the boundary of the output mesh is guaranteed to be a geometrically and topologically accurate approximation of the solid surface. Applications of the method are in free boundary flows, modeling deformations, shape optimization, and anything that requires dynamic meshing, such as virtual surgery.

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Adjoint-Based Design Optimization of Nonlinear Switched Reluctance Motors

Sayed

Bakr

Bilgin

et al. 2019

Electric Power Components and Systems

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A Novel Mesh Regeneration Using Structural Deformation Analysis for 3-D Shape Optimization of Electromagnetic Devices

Cited by 11 publications

References 7 publications

A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes

A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes

Tetrahedralization of Isosurfaces with Guaranteed-Quality by Edge Rearrangement (TIGER)

Adjoint-Based Design Optimization of Nonlinear Switched Reluctance Motors

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