Development of an automatic, two‐dimensional finite element mesh generator using quadrilateral elements and Bezier curve boundary definition

Talbert, Jeffrey A.; Parkinson, Alan

doi:10.1002/nme.1620290712

Cited by 124 publications

(59 citation statements)

References 16 publications

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“…Blended wing-body Truss-braced wing Two-dimensional quad meshing algorithms fall under three general categories: domain-decomposition [20,21], advancing-front [22], and triangulation-based methods [23]. The first two-recursively splitting the domain through heuristic algorithms and marching out from boundaries-are unsuited to the current problem because of the line constraints imposed by the structural members intersecting the skin.…”

Section: D8mentioning

confidence: 99%

Geometry and Structural Modeling for High-Fidelity Aircraft Conceptual Design Optimization

Hwang

Kenway

Martins

2014

15th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

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High-fidelity computational design tools have advanced considerably in the last few decades, but there are still bottlenecks that suppress their impact in conceptual design. This paper aims to address some of these bottlenecks through a parametric geometry modeler for unconventional configurations with an efficient derivative computation and a parametric structural modeler that automatically generates full finite element meshes. As a demonstration, lift-constrained drag minimization of a truss-braced wing design is performed with respect to 532 design variables and 951 constraints with the Euler equations solved on a 1.42 million cell mesh.

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Section: D8mentioning

confidence: 99%

Geometry and Structural Modeling for High-Fidelity Aircraft Conceptual Design Optimization

Hwang

Kenway

Martins

2014

15th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

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“…In the current study, the splitting equation proposed by Talbert et al [23] was used. The pair of opposite nodes is selected such that the following function is minimized.…”

Section: Recursive Loop Splittingmentioning

confidence: 99%

Remeshing for metal forming simulations—Part I: Two‐dimensional quadrilateral remeshing

Kwak

Cheon

2002

Numerical Meth Engineering

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SUMMARYIn this paper, a general framework of practical two-dimensional quadrilateral remeshing, which includes the determination of remeshing time, automatic quadrilateral mesh generation, and data transfer process, will be formulated. In particular, the current work contains new algorithms of mesh density speciÿcation according to the distribution of e ective strain-rate gradients, mesh density smoothing by fast Fourier transform (FFT) and low-pass ÿltering techniques, coarsening it by node placement scheme, and a modiÿed Laplacian mesh smoothing technique. The e ciency of the developed remeshing scheme was tested through three practical two-dimensional metal forming simulations. The results clearly indicate that the algorithms proposed in this study make it possible to simulate two-dimensional metal forming problems e ciently and automatically.

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“…The decomposition technique is to divide the domain into simpler regions which can be resolved by templates [11] [12]. The second category is to utilize a moving front method for direct placement of nodes and elements.…”

Section: Previous Workmentioning

confidence: 99%

Adaptive and quality quadrilateral/hexahedral meshing from volumetric data

Zhang

Bajaj

2006

Computer Methods in Applied Mechanics and Engineering

206

158

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This paper describes an algorithm to extract adaptive and quality quadrilateral/hexahedral meshes directly from volumetric data. First, a bottom-up surface topology preserving octree-based algorithm is applied to select a starting octree level. Then the dual contouring method is used to extract a preliminary uniform quad/hex mesh, which is decomposed into finer quads/hexes adaptively without introducing any hanging nodes. The positions of all boundary vertices are recalculated to approximate the boundary surface more accurately. Mesh adaptivity can be controlled by a feature sensitive error function, the regions that users are interested in, or finite element calculation results. Finally, a relaxation based technique is deployed to improve mesh quality. Several demonstration examples are provided from a wide variety of application domains. Some extracted meshes have been extensively used in finite element simulations.

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Development of an automatic, two‐dimensional finite element mesh generator using quadrilateral elements and Bezier curve boundary definition

Cited by 124 publications

References 16 publications

Geometry and Structural Modeling for High-Fidelity Aircraft Conceptual Design Optimization

Geometry and Structural Modeling for High-Fidelity Aircraft Conceptual Design Optimization

Remeshing for metal forming simulations—Part I: Two‐dimensional quadrilateral remeshing

Adaptive and quality quadrilateral/hexahedral meshing from volumetric data

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