Prismatic grid generation for three-dimensional complex geometries

Kallinderis, Y.; Ward, S.

doi:10.2514/3.11858

Cited by 94 publications

(54 citation statements)

References 10 publications

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“…Chappell et al [16] and Kallinderis [18] described methods to generate extruded meshes in viscous regions using advancing layer schemes. The layer definition is kept intact through out the extrusion process, i.e., the topology of the initial surface mesh and final extruded surface mesh will be identical.…”

Section: Hybrid Meshmentioning

confidence: 99%

“…As the mesh is extruded, layer by layer, smoothing is required in the concave regions of the geometry to avoid crossing. To address mesh crossing, Kallinderis [18] used Laplacian smoothing to smooth the normals. However Laplacian smoothing doesn't guarantee a valid mesh [23] and doesn't provide a mechanism to control the mesh quality.…”

Section: Motivationmentioning

confidence: 99%

“…Kallinderis [18] developed a method which automatically reduces the extruded mesh thickness to avoid overlapping and crossing. Due to the reduction of nearbody mesh thickness, the resultant transition from the extruded mesh to a tetrahedral mesh may not be smooth.…”

Section: Motivationmentioning

confidence: 99%

“…A simple way to compute the extrusion direction at a given node is to take an average of face normals sharing the node under consideration. However, after extrusion, the resulting point location may violate the visibility condition [18] if the surface has sharp discontinuities, for example, at the intersection of a wing trailing edge and a fuselage. Kallinderis [18] describes a method to find a normal direction that satisfies the visibility condition.…”

Section: Outline Of the Algorithmmentioning

confidence: 99%

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Quality improvements in extruded meshes using topologically adaptive generalized elements

Chalasani

Thompson

2004

Numerical Meth Engineering

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In this dissertation, a novel method to extrude near-body meshes from surface meshes of arbitrary topology that exploits topologically adaptive generalized elements to improve mesh quality is presented. Specifically, an advancing layer algorithm to generate nearbody meshes which are appropriate for viscous fluid flows is discussed. First, an orthogonal two-layer algebraic reference mesh is generated. The reference mesh is then smoothed using a locally three-dimensional Poisson-type mesh generation equation that is generalized to smooth extruded meshes of arbitrary surface topology. Local quality improvement operations such as edge collapse, face refinement, and local reconnection are performed in each layer to drive the mesh toward isotropy. An automatic marching thickness reduction algorithm is used to extrude from multiple geometries in close proximity. A global face refinement algorithm is used to improve the transition from the extruded mesh to the void-filling tetrahedral mesh. A few example meshes along with quality plots are presented to demonstrate the efficacy of the algorithms developed. ACKNOWLEDGMENTSThe author wishes to express his sincere appreciation to Dr. David S. Thompson, who acted as a major advisor and the director of my dissertation. His constant support and encouragement has given me an opportunity to learn, and grow professionally. I am indebted for his suggestions and guidance through out the dissertation work. It is hard to find enough words to express my appreciation for his patience shown towards me in many issues and guiding me to go in proper direction.I want to thank my committee members Dr.

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Section: Hybrid Meshmentioning

confidence: 99%

Section: Motivationmentioning

confidence: 99%

Section: Motivationmentioning

confidence: 99%

Section: Outline Of the Algorithmmentioning

confidence: 99%

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Quality improvements in extruded meshes using topologically adaptive generalized elements

Chalasani

Thompson

2004

Numerical Meth Engineering

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“…Some of these methods use portions of a structured or semi-structured mesh in the viscous regions which are then matched up with an unstructured mesh in the inviscid regions [2]. Another approach is to generate the mesh using prismatic elements [3]. Others are based on modifications to the Delaunay triangulation [4, 51 or to the advancing front method [6, 71.…”

Section: Introductionmentioning

confidence: 99%

Adaptive unstructured triangular mesh generation and flow solvers for the Navier-Stokes equations at high Reynolds number

Ashford¹,

Powell²

1995

12th Computational Fluid Dynamics Conference

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A method for generating high quality unstructured triangular grids for high Reynolds number Navier-Stokes calculations about complex geometries is described. Careful attention is paid in the mesh generation process to resolving efficiently the disparate length scales which arise in these flows. First the surface mesh is constructed in a way which ensures that the geometry is faithfully represented. The volume mesh generation then proceeds in two phases thus allowing the viscous and inviscid regions of the flow to be meshed optimally, A solution-adaptive remeshing procedure which allows the mesh to adapt itself to flow features is also described. The procedure for tracking wakes and refinement criteria appropriate for shock detection are described. Although at present it has only been implemented in two dimensions, the grid generation process has been designed with the extension to three dimensions in mind. An implicit, higher-order, upwind method is also presented for computing compressible turbulent flows on these meshes. Two recently developed one-equation turbulence models have been implemented to simulate the effects of the fluid turbulence. Results for flow about a RAE 2822 airfoil and a Douglas three-element airfoil are presented which clearly show the improved resolution obtainable.

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Anisotropic mesh optimization and its application in adaptivity

Buscaglia

Dari

1997

Int. J. Numer. Meth. Engng.

112

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The construction of solution-adapted meshes is addressed within an optimization framework. An approximation of the second spatial derivative of the solution is used to get a suitable metric in the computational domain. A mesh quality is proposed and optimized under this metric, accounting for both the shape and the size of the elements. For this purpose, a topological and geometrical mesh improvement method of high generality is introduced. It is shown that the adaptive algorithm that results recovers optimal convergence rates in singular problems, and that it captures boundary and internal layers in convection-dominated problems. Several important implementation issues are discussed. ?

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Prismatic grid generation for three-dimensional complex geometries

Cited by 94 publications

References 10 publications

Quality improvements in extruded meshes using topologically adaptive generalized elements

Quality improvements in extruded meshes using topologically adaptive generalized elements

Adaptive unstructured triangular mesh generation and flow solvers for the Navier-Stokes equations at high Reynolds number

Anisotropic mesh optimization and its application in adaptivity

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