Polyhedral Mesh Generation and Optimization for Non-manifold Domains

Garimella, Rao V.; Kim, Jibum; Berndt, Markus

doi:10.1007/978-3-319-02335-9_18

Cited by 27 publications

(28 citation statements)

References 13 publications

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“…Tangled meshes, with inverted elements, often occur during mesh generation [4], mesh optimization [20], and mesh deformation [13,20]. Tangled meshes are not desirable, since they produce invalid PDE solutions [15,20].…”

Section: Introductionmentioning

confidence: 99%

“…First, tangled elements for polyhedral meshes are not well defined (especially, for 3D polyhedral meshes). Garimella et al used a quite conservative definition of mesh validity for polyhedral meshes called the star-shape test [4]. To pass this star-shape test, all decompositions of a polyhedron into tetrahedra should have positive volumes, which are not easy to achieve for complex geometric domains due to geometric constraints and concavity.…”

Section: Introductionmentioning

confidence: 99%

“…However, automatically generating hexahedral elements over arbitrary geometric domains is still unresolved research problem. It is well known that many hexahedral mesh generation algorithms are slow and not fully automatic [4]. Due to the limitations of tetrahedral and hexahedral meshes, polyhedral meshes are receiving more attention.…”

Section: Introductionmentioning

confidence: 99%

“…Although polyhedral meshes possess favorable properties over other element types, automatic generation of polyhedral meshes is still a challenging issue. Recently, several automatic polyhedral mesh generation algorithms and software were proposed and developed [1,2,4,17,22]. However, automatic polyhedral generation methods sometimes result in distorted or tangled meshes [4].…”

Section: Introductionmentioning

confidence: 99%

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Untangling polygonal and polyhedral meshes via mesh optimization

Kim

Chung

2014

Engineering with Computers

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We propose simple and efficient optimizationbased untangling strategies for 2D polygonal and 3D polyhedral meshes. The first approach uses a size-based mesh metric, which eliminates inverted elements by averaging element size over the entire mesh. The second method uses a hybrid quality metric, which untangles inverted elements by simultaneously averaging element size and improving element shape. The last method using a variant of the hybrid quality metric gives a high penalty for inverted elements and employs an adaptive sigmoid function for handling various mesh sizes. Numerical experiments are presented to show the effectiveness of the proposed untangling strategies for various 2D polygonal and 3D polyhedral meshes.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Untangling polygonal and polyhedral meshes via mesh optimization

Kim

Chung

2014

Engineering with Computers

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“…Mesh qualities affect both the speed and accuracy of PDE solutions. However, poor quality and inverted elements often occur during mesh generation [1], mesh optimization [2], and mesh deformation [3]. For isotropic PDE problems such as Poisson's equation, skinny elements with very large or very small angles are not desired and are often considered as poor quality elements.…”

Section: Introductionmentioning

confidence: 99%

An Iterative Mesh Untangling Algorithm Using Edge Flip

Kim

2017

Mathematical Problems in Engineering

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Existing mesh untangling algorithms are unable to untangle highly tangled meshes. In this study, we address this problem by proposing an iterative mesh untangling algorithm using edge flip. Our goal is to produce meshes with no inverted elements and good element qualities when inverted elements with poor element qualities are produced during mesh generation or mesh deformation process. Our proposed algorithm is composed of three steps: first, we iteratively perform edge flip; subsequently, optimizationbased mesh untangling is conducted until all inverted elements are eliminated; finally, we perform mesh smoothing for generating high-quality meshes. Numerical results show that the proposed algorithm is able to successfully generate high-quality meshes with no inverted elements for highly tangled meshes.

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Effect of winglet geometry on horizontal axis wind turbine performance

Mourad

Shahin

Ayad

et al. 2020

Engineering Reports

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Winglets (WLs) have recently been used to improve the performance of horizontal axis wind turbine (HAWT). The WL geometry is a key parameter for diverging blade tip vortices away from turbine blades and reducing induced drag. The present study focuses on the effect of winglet height (H) and toe angle ( w ) on the turbine performance. The performance of a three-bladed rotor of 1 m diameter with SD8000 aerofoil is numerically investigated using ANSYS 17.2 CFD on a polyhedral mesh. The model is hence validated by comparing results for power coefficient (C pw ) with experimental values available in the literature. Four different values of H are considered while keeping w constant at 0 • . H of 0.8%R is proved to be the best height for performance enhancement. It increases C pw by 2.4% at tip speed ratio = 7. The toe angle effect is studied for upwind and downwind WLs. The results show that C pw increases as w increases up to w = +20 • at all values of . C pw increases by 6% at = 7. Downwind WL always reduces C pw . The present results are well explained by the resulting vectors map near the blade tip. Using WL with the optimum H and w , causes 6% increase in C pw as compared to rotor without WL. K E Y W O R D SCFD, toe angle, wind turbine, winglet, winglet height INTRODUCTIONGlobal warming and fossil fuel emissions are the main drive and motivation for finding alternative sources of energy. Wind energy is one of the most viable alternative energy sources. It is expected to support the global electricity by more than 20% by 2030. 1 Many researchers have studied the aerodynamics behavior of the flow around wind turbines in order to understand the wind kinetic energy extraction by rotor. The flow around wind turbine is very complicated due to turbulence generation and vortices. Experimental studies need sophisticated measurements techniques and equipments. Verified numerical modeling has been widely used in order to better understand the flow within the turbine and in its wake.Blade Element Momentum Theory (BEMT) and Computational Fluid Dynamics (CFD) are the most common approaches that are used to calculate the aerodynamic forces. 2 BEMT is the basic theory of wind turbine blade design by combination between momentum theory and blade geometry. It solves set of equations at each blade element by balancingThis is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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Polyhedral Mesh Generation and Optimization for Non-manifold Domains

Cited by 27 publications

References 13 publications

Untangling polygonal and polyhedral meshes via mesh optimization

Untangling polygonal and polyhedral meshes via mesh optimization

An Iterative Mesh Untangling Algorithm Using Edge Flip

Effect of winglet geometry on horizontal axis wind turbine performance

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