Enhanced medial-axis-based block-structured meshing in 2-D

Fogg, Harold J.; Armstrong, Cecil; Robinson, Trevor

doi:10.1016/j.cad.2015.07.001

Cited by 20 publications

(4 citation statements)

References 26 publications

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“…Fig. 26 (b) shows the result of the identified singularities using the MAT method in [16], where the domain is partitioned into tracks with two radii running from the medial axis perpendicular to the boundary. A flux balance analysis is carried out for each pair of medial radii.…”

Section: Locating Mesh Singularitiesmentioning

confidence: 99%

Singularities in structured meshes and cross-fields

Fogg

Sun

Makem

et al. 2018

Computer-Aided Design

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Singularities in structured meshes are vertices that have an irregular valency. The integer irregularity in valency is called the singularity index of the vertex of the mesh. Singularities in cross-fields are closely related which are isolated points where the cross-field vectors are defined in its limit neighbourhood but not at the point itself. For a closed surface the genus determines the minimum number of singularities that are required in a structured mesh or in a cross-field on the surface. Adding boundaries and forcing conformity of the mesh or alignment of the cross-field to them also affects the minimum number of singularities required. In this paper a simple formula is derived from Bunin's Continuum Theory for Unstructured Mesh Generation [1] that specifies the net sum of singularity indices that must occur in a cross-field with even numbers of vectors on a face or surface region with alignment conditions. The formula also applies to mesh singularities in quadrilateral and triangle meshes and the correspondence to 3-D hexahedral meshes is related. Some potential applications are discussed.

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Section: Locating Mesh Singularitiesmentioning

confidence: 99%

Singularities in structured meshes and cross-fields

Fogg

Sun

Makem

et al. 2018

Computer-Aided Design

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“…Such a method is simpler than the paving algorithm because the mesh connectivity is not catered for in the cross field. A variation of this method is presented in [40] where a medial axis based blocking technique with implicit use of the cross field is described. This results in effective handling of the concavities and sharp features as compared to the pure medial axis based techniques such as TopMaker.…”

Section: Multiblock Topology Generationmentioning

confidence: 99%

Optimal mesh topology generation for CFD

Ali

Tucker

Shahpar

2017

Computer Methods in Applied Mechanics and Engineering

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Multiblock structured mesh generation is amongst the most popular meshing techniques for flow simulations. However, the time consuming and user intensive process of blocking complex domains presents a major bottleneck in structured mesh generation. To this end, we have considered various automatic blocking strategies where some typical aeroengine domains have been showcased. An adjoint based error analysis procedure is then used to assess these methods. It is found that, in general, the medial axis based approaches provide optimal blocking and yields better accuracy in computing the functional of interest. This is because the medial axis based methods produce meshes which have better flow alignment especially in case of internal flows. A new hybrid blocking approach, combining the existing methods with the distance field isosurface is also presented to overcome the shortcomings of the current methods. Such a blocking technique has the potential to be applied to a wide range of flow domains.

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“…Such a method is simpler than the paving algorithm because the mesh connectivity is not catered in the cross field. A variation of this method involves a medial axis based blocking technique with implicit use of the cross field (Fogg, Armstrong, and Robinson 2015b). This results in effective handling of the concavities and sharp features as compared to the pure medial axis based techniques such as TopMaker.…”

Section: Multi-block Topology Generationmentioning

confidence: 99%

Optimal multi-block mesh generation for CFD

Ali

Dhanasekaran²,

Tucker

et al. 2017

International Journal of Computational Fluid Dynamics

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An assessment of various automatic block topology generation techniques for creating structured meshes has been performed in the first part of the paper. The objective is to find out optimal blocking methods for generating meshes suitable for flow simulations. The comparison has been carried out using an adjoint based error analysis of the meshes generated by these block topologies. Different objective functions and numerical schemes have been used for this assessment. It is found that, in general, the medial axis based approaches provide optimal blocking and yields better accuracy in computing the functional of interest. This is because the medial axis based methods produce meshes which have better flow alignment specially in case of internal flows. In the second part of the paper, the adjoint based error indicator has been used to adapt the block topology in the regions of large error.

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Enhanced medial-axis-based block-structured meshing in 2-D

Cited by 20 publications

References 26 publications

Singularities in structured meshes and cross-fields

Singularities in structured meshes and cross-fields

Optimal mesh topology generation for CFD

Optimal multi-block mesh generation for CFD

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