Curved boundary layer meshing for adaptive viscous flow simulations

Sahni, Onkar; Luo, Xiang; Jansen, Kenneth E.; Shephard, Mark S.

doi:10.1016/j.finel.2009.06.016

Cited by 36 publications

(36 citation statements)

References 28 publications

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“…It has also been proposed to move the high-order nodes along specific lines depending on geometric constraints and neighbouring elements [13]. More sophisticated methodologies combine a prescribed deformation of elements near curved boundaries (by moving the control points of their Bézier representation) with topological modifications in order to untangle all invalid elements [8,16,17].…”

Section: Regularization Of Invalid Meshesmentioning

confidence: 99%

The Generation of Valid Curvilinear Meshes

Geuzaine

Johnen

Lambrechts

et al. 2015

Notes on Numerical Fluid Mechanics and Multidisciplinary Design

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Abstract. It is now well-known that a curvilinear discretization of the geometry is most often required to benefit from the computational efficiency of high-order numerical schemes in simulations. In this article, we explain how appropriate curvilinear meshes can be generated. We pay particular attention to the problem of invalid (tangled) mesh parts created by curving the domain boundaries. An efficient technique that computes provable bounds on the element Jacobian determinant is used to characterize the mesh validity, and we describe fast and robust techniques to regularize the mesh. The methods presented in this article are thoroughly discussed in Ref. [1,2], and implemented in the free mesh generation software Gmsh [3,4].

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Section: Regularization Of Invalid Meshesmentioning

confidence: 99%

The Generation of Valid Curvilinear Meshes

Geuzaine

Johnen

Lambrechts

et al. 2015

Notes on Numerical Fluid Mechanics and Multidisciplinary Design

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“…The most recent developments in curvilinear mesh generation methods rely on approaches that split a linear boundary conforming mesh into high-order straight-sided elements, project the boundary nodes onto the curved surface and then deform the mesh to accommodate them [14,21] or alternatively undertake an optimization procedure to untangle it [20]. Some work has been undertaken to investigate the applicability of these methods to boundary layer meshes [4,16]. However, the expensive nature of these techniques, particularly at high polynomial orders, and the uncertainty of the resolution that can be obtained when the mesh is deformed, means that their application to boundary layer grids remains to be investigated.…”

Section: Introductionmentioning

confidence: 99%

Curvilinear Mesh Generation for Boundary Layer Problems

Moxey

Hazan

Sherwin

et al. 2015

Notes on Numerical Fluid Mechanics and Multidisciplinary Design

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In this article, we give an overview of a new technique for unstructured curvilinear boundary layer grid generation, which uses the isoparametric mappings that define elements in an existing coarse prismatic grid to produce a refined mesh capable of resolving arbitrarily thin boundary layers. We demonstrate that the technique always produces valid grids given an initially valid coarse mesh, and additionally show how this can be extended to convert hybrid meshes to meshes containing only simplicial elements.

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“…Layered structure of elements in boundary layer meshes near no-slip walls plays a critical role. It has been shown that maintaining a graded stack of boundary layer elements results in accurate prediction of wall and near-wall quantities (such as wall shear stress or turbulent eddy viscosity) [18]. Thus, it is crucial that the mesh adaptation maintains the structured nature of the mesh normal to the surface.…”

Section: Introductionmentioning

confidence: 99%

Parallel Adaptive Boundary Layer Meshing for CFD Analysis

Ovcharenko

Chitale

Sahni

et al. 2013

Proceedings of the 21st International Meshing Roundtable

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Summary. This paper describes a parallel procedure for anisotropic mesh adaptation with boundary layers for use in scalable CFD simulations. The parallel mesh adaptation algorithm operates with local mesh modification operations developed for both unstructured and boundary layer parts of the mesh. The adaptive approach maintains layered elements near the viscous walls and accounts for the mesh modification operations that are carried out in parallel on a distributed mesh. In the process mesh relationships and approximations with respect to curved complex 3D geometries of interest are properly maintained. The parallel mesh adaptation procedures are applied to two problems: a heat transfer manifold and a scramjet engine.

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Curved boundary layer meshing for adaptive viscous flow simulations

Cited by 36 publications

References 28 publications

The Generation of Valid Curvilinear Meshes

The Generation of Valid Curvilinear Meshes

Curvilinear Mesh Generation for Boundary Layer Problems

Parallel Adaptive Boundary Layer Meshing for CFD Analysis

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