A priori mesh quality metrics for three-dimensional hybrid grids

Kallinderis, Y.; Fotia, Sophia

doi:10.1016/j.jcp.2014.09.036

Cited by 13 publications

(19 citation statements)

References 42 publications

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“…This work was evaluated in [25], and presented favorable agreement between numerical error and the mesh quality indicators derived in [8]. This was a motivation for the extension to three-dimensions [7], and further to focus the work on the quality assessment of interfaces of three-dimensional hybrid grids, as well as on its improvement.…”

Section: Introductionmentioning

confidence: 83%

“…The previous work [7] focused on the quality of "regular" hybrid grid interfaces, that are encountered in hybrid grids with constant number of layers of prisms/hexahedra. The present work is focused on realistic interfaces that contain variable number of prisms/hexahedra stacks ("chopping").…”

Section: Elementary Types Of Hybrid Grid Interfaces For Variable Numbmentioning

confidence: 99%

“…Those areas constitute the interface regions where different types of elements create the local control volumes for the Finite Volume space discretization. There is little previous research on mesh quality measures and improvement for the interfaces [6][7][8][9][10][11]. The present work is intended to contribute in this area.…”

Section: Introductionmentioning

confidence: 99%

“…Direct relations between TE and mesh distortion parameters, such as departure from orthogonality, skewness and uniformity have been reported in [22]. However, despite the large number of studies on the relation of TE to the numerical solution [23,24], there have been few derivations of mesh quality measures based on it [7,8].…”

Section: Introductionmentioning

confidence: 99%

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Quality Index and Improvement of the Interfaces of General Hybrid Grids

Fotia

Kallinderis

2014

Procedia Engineering

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Hybrid grids constitute a significant class of meshes for complex-geometry flow simulations. They consist of prisms and/or hexahedra covering viscous regions primarily, while tetrahedra discretize the rest of the domain with pyramids serving as transitional elements. The local changes in element topology form grid interfaces. This is especially so for cases where the number of prisms/hexahedra per layer (stack) is not constant ("chopped" layers). The present work deals with the quality of the interfaces encountered in general hybrid grids with non-constant number of layers. A priori estimation of the quality is based on truncation error terms. Four representative types of interfaces are considered. The effect of grid stretching and skewness was examined for the interfaces. Further, the quality is improved via repositioning of the central point of each of the interface types. The improvement is quantified via application to several hybrid grids.

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Section: Introductionmentioning

confidence: 83%

Section: Elementary Types Of Hybrid Grid Interfaces For Variable Numbmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quality Index and Improvement of the Interfaces of General Hybrid Grids

Fotia

Kallinderis

2014

Procedia Engineering

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“…Its relation to specific distortions of a realistic grid, such as stretching and skewness, can lead to techniques for improving the mesh a priori, before any computation is performed. Analytic expressions that relate the TE with the distortions have been derived for linear grids . Comparisons of commonly used a priori mesh quality metrics have also been reported .…”

Section: Introductionmentioning

confidence: 99%

A study of properties of adaptive quadratic grids for three‐dimensional near‐surface field computations

Kallinderis

Lymperopoulou

Spyridonos

et al. 2019

Numerical Methods in Fluids

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Summary Curved geometries and the corresponding near‐surface fields typically require a large number of linear computational elements. High‐order numerical solvers have been primarily used with low‐order meshes. There is a need for curved, high‐order computational elements. Typical near‐surface meshes consist of hexahedral and/or prismatic elements. The present work studies the employment of quadratic meshes that are relatively coarse for field simulations. Directionally quadratic high‐order elements are proposed for the near‐surface field regions. The quadratic meshes are compared with the conventional low‐order ones in terms of accuracy and efficiency. The cases considered include closed surface volume calculations, as well as computation of gradients of several analytic fields. A special method of adaptive local quadratic meshes is proposed and evaluated. Truncation error analysis for quadratic grids yields comparison with the conventional linear hexahedral/prismatic meshes, which are subject to typical distortions such as stretching, skewness, and torsion.

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Uncertainty Quantification in CFD: The Matrix of Knowledge

Salvadori

2018

Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines

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show abstract

A priori mesh quality metrics for three-dimensional hybrid grids

Cited by 13 publications

References 42 publications

Quality Index and Improvement of the Interfaces of General Hybrid Grids

Quality Index and Improvement of the Interfaces of General Hybrid Grids

A study of properties of adaptive quadratic grids for three‐dimensional near‐surface field computations

Uncertainty Quantification in CFD: The Matrix of Knowledge

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