Anisotropic Meshing

MESHING
RESEARCH
CORNER

Alauzet, Frederic, Adrien Loseille, Alain Dervieux, and Pascal Frey

"Multi-Dimensional Continuous Metric for Mesh Adaptation", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.191-214, September 17-20 2006
keywords:


continuous metric	metric tensor
mesh adaptation	anisotropy
interpolation error	order of convergence

Abstract
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"Algorithmic and Implementation Aspects of Generating Isotropic and Anisotropic Tetrahedral Meshes", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


anisotropy	tetrahedra
size control	non-manifold
boundary constrained

Abstract

"Multilevel accelerated optimization for problems in grid generation", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.351-359, Sept. 2003
keywords:


smoothing	optimization
multilevel methods	coarsening
untangling	triangle
anisotropy

Abstract
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"Anisotropic adaptive mesh generation in two dimensions for CFD", 5th International Conference On Numerical Grid Generation in Computational Field Simulations, Mississppi State University, Vol 3, pp.197-206, April 1996
keywords:


adaptivity	anisotropy
CFD	Delaunay
triangle

Abstract

"Adaptive Trangular-Quadrilateral Mesh Generation", International Journal for Numerical Methods in Engineering, Wiley, Vol 41, pp.915-934, 1998
keywords:


adaptivity	anisotropy
Delaunay triangulation	indirect quad meshing
quadrilateral	Riemannian structure

Abstract

"Mesh Gradation Control", International Journal for Numerical Methods in Engineering, Wiley, Vol 43, pp.1143-1165, 1999
keywords:


gradation control	sizing control
adaptivity	anisotropy
Reimann metric	shock correction
surface meshing

Abstract

"H-Correction", INRIA Report No. 3199, INRIA, pp.29, June 1997
keywords:


anisotropy	background mesh
sizing control	adaptivity
surface meshing	transition control
Reimann metric

Abstract

"Mesh Gradation Control", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.131-141, October 1997
keywords:


anisotropy	background mesh
curvature	gradation
Riemann	size control
surface meshing

Abstract
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"Unstructured Triangular-Quadrilateral Mesh Generation. Application to Surface Meshing.", 5th International Meshing Roundtable, Sandia National Laboratories, pp.229-242, October 1996
keywords:


adaptivity	anisotropy
quadrilateral	surface meshing
triangle

Abstract
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"Parametric surface meshing using a combined advancing-front generalized Delaunay approach", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.233-259, September 10-20 2000
keywords:


parametric surface	surface meshing
anisotropy	Riemannian metric
advancing front	Delaunay
adaptivity	triangle

Abstract

"Anisotropic Mesh Generation with Particles", Dissertation, School of Computer Science, Carnegie Mellon University, May 1996
keywords:


bubble	particles
physically-based	adaptivity
anisotropy	Riemannian metric
smoothing

Abstract

"A Pliant Method for Anisotropic Mesh Generation", 5th International Meshing Roundtable, Sandia National Laboratories, pp.63-76, October 1996
keywords:


anisotropy	bubble
sphere packing	triangle

Abstract
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"Anisotropic Mesh Optimization and its Application in Adaptivity", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, Num 22, pp.4119-4136, November 1997
keywords:


adaptivity	anisotropy
optimization

Abstract

"New Progress in Anisotropic Grid Adaptation for Inviscidand Viscous Flows Simulations", INRIA Report No. 2671, INRIA, October 1995
keywords:


anisotropy	adaptivity
CFD	Navier Stokes
Delaunay	Reimann metric

Abstract

"Anisotropic Surface Mesh Generation", INRIA Report No. 2672, INRIA, pp.31, October 1995
keywords:


anisotropy	surface meshing
surface interpolation	triangles

Abstract

"New Progress in Anisotropic Grid Adaptation for Inviscid and Viscous Flows Simulations", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.73-85, October 1995
keywords:


adaptivity	anisotropy
CFD	Delaunay
metric

Abstract
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"Delaunay Triangulation for Curved Surfaces", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.115-127, October 1997
keywords:


anisotropy	curvature
Delaunay	parametric mapping
Riemann	surface meshing
triangle

Abstract
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"Mesh Smoothing Schemes Based on Optimal Delaunay Triangulations", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.109-120, September 19-22 2004
keywords:


anisotropic mesh adaptation	Delaunay
Voronoi tessellation	smoothing

Abstract
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"On Optimal Bilinear Quadrilateral Meshes", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.19-33, October 1998
keywords:


anisotropy	quadrilateral
super-convergence	bilinear

Abstract
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"Optimization of Tetrahedral Meshes", ?
keywords:


anisotropy	optimization
tetrahedra	topological improvement

Abstract

"Adaptive meshing for dynamic strain localization", Computer methods in applied mechanics and engineering, Elsevier, Vol 137, pp.285-306, 1996
keywords:


adaptivity	anisotropy
triangle

Abstract

"Anisotropic mesh adaptation for transient flows simulations", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.335-348, Sept. 2003
keywords:


adaptivity	anisotropy
metric	error estimate
CFD	transient problem

Abstract
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"Delaunay Tetrahedralization using an Advancing-Front Approach", 5th International Meshing Roundtable, Sandia National Laboratories, pp.31-46, October 1996
keywords:


adaptivity	advancing front
anisotropy	Delaunay
tetrahedron

Abstract
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"Boundary layer mesh generation for viscous flow simulations", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.193-218, September 10-20 2000
keywords:


anisotropy	boundary layers
hybrid	advancing layers
CFD

Abstract

"Boundary Layer Meshing for Viscous Flows in Complex Domains", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.107-118, October 1998
keywords:


tetrahedra	boundary layer
CFD	anisotropy
advancing layers

Abstract
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"Back to edge flips in 3 dimensions", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.393-402, Sept. 2003
keywords:


tetahedra	edge flips
edge removal	edge reduction
anisotroopy	optimization
delaunization	optimization
boundary integrity	topology improvement
improvement

Abstract
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"Delaunay Triangulation and Meshing: Application to Finite Elements", Hermes, pp.413, 1998
keywords:


adaptivity	anisotropy
boundary-constrained	data structures
Delaunay	line meshing
overview	parametric surface
Reimann metric	tetrahedra
triangle

Abstract

"Watertight Anisotropic Surface Meshing Using Quadrilateral Patches", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.311-322, September 19-22 2004
keywords:


surface triangulation	anisotropy
quadrilateral	CAD geometry
mapping templates

Abstract
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"Generalized Laplacian Smoothing of Unstructured Grids", Communications in Numerical Methods in Engineering, Wiley, Vol 11, pp.455-464, 1995
keywords:


smoothing	Laplacian smoothing
surface meshing	anisotropy
metric tensor

Abstract

"Anisotropic Adaptive Mesh Generation for CFD", Lecture Notes: Princeton Conference, July 1996
keywords:


anisotropy	CFD
Delaunay	metric
tetrahedron	triangle

Abstract

"Mesh Generation for hp-Type Finite Element Analysis of Plates", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


error norm	Reissner-Mindlin
adaptivity	anisotropy
boundary layer	advancing front
coarse meshing

Abstract

"Automatic Generation of Adaptive Unstructured Grids for Viscous Flow Applications", 5th International Conference On Numerical Grid Generation in Computational Field Simulations, Mississippi State University, pp.219-228, April 1996
keywords:


anisotropy	CFD
triangle

Abstract

"On Anisotropic Mesh Generation and Quality Control in Complex Flow Problems", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.341-349, October 7-10 2001
keywords:


anisotropy	mesh control
hybrid grid generation	CFD
smoothing

Abstract
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"Anisotropic Mesh Adaptation for Evolving Triangulated Surfaces", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.173-190, September 17-20 2006
keywords:


mesh adaptation	anisotropic meshes
dynamic surfaces	feature preservation

Abstract
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"Anisotropic Smoothing And Solution Adaption For Unstructured Grids", International Journal for Numerical Methods in Engineering, Wiley, Vol 39, pp.3163-3174, 1996
keywords:


adaptivity	anisotropy
Delaunay	smoothing

Abstract

"A Measure of the Conformity of a Mesh to an Anisotropic Metric", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.319-326, October 7-10 2001
keywords:


metric	anisotropy
shape measure	size measure
mesh conformity	quality

Abstract
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"Interpolating and meshing 3D surface grids", International Journal for Numerical Methods in Engineering, 2003 John Wiley & Sons, Ltd., Vol 58, Num 2, pp.209-225, July 2003
keywords:


anisotropic meshing	parametric surface
structured grid	surface meshing
surface reconstruction	surface smoothing

Abstract

"Automatic metric 3D surface mesh generation using subdivision surface geometrical model. Part 2: Mesh generation algorithm and examples", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 56, Num 11, pp.1615 - 1646, March 2003
keywords:


advancing front technique	interpolating subdivision surface
metric 3D anisotropic adaptive surface mesh generations	sharp and discontinuous features on 3D surface meshes

Abstract

"Automatic metric 3D surface mesh generation using subdivision surface geometrical model. Part 1: Construction of underlying geometrical model", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 56, Num 11, pp.1593 - 1614, March 2003
keywords:


cusp points and crease lines	geometrical model
inter-polating subdivision surfaces	metric 3D anisotropic adaptive surface mesh generations
sharp features on 3D surface meshes

Abstract

"Automatic generation of anisotropic quadrilateral meshes on three-dimensional surfaces using metric specifications", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 53, Num 12, pp.2673 - 2700, April 2002
keywords:


advancing front	anisotropic mesh generation
indirect method	quadrilateral mesh generation
systematic merging technique

Abstract

"A new indirect anisotropic quadrilateral mesh generation scheme with enhanced local mesh smoothing procedures", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 58, Num 2, pp.277-300, July 2003
keywords:


advancing front technique	anisotropic mesh generation
indirect quadrilateral mesh generation	local and global anisotropic mesh smoothings
systemic merging technique

Abstract

"Biting Ellipses to Generate Anisotropic Mesh", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.97-108, October 1999
keywords:


anisotropy	metrics
biting	advancing front
sphere packing	tetrahedra

Abstract
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"Anisotropic Mesh Gradation Control", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.401-412, September 19-22 2004
keywords:


tensor field	anisotropic
gradation	adaptation
sizing function

Abstract
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"On discrete boundaries and solution accuracy in anisotropic adaptive meshing", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.313-324, September 11-14 2005
keywords:


adaptivity	anisotropy
solution accuracy

Abstract
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"Generation of Non-Isotropic Unstructured Grids via Directional Enrichment", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


anisotropy	RANS gridding technique
Delaunay	boundary constrained

Abstract

"Generation of non-isotropic unstructured grids via directional enrichment", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.219-232, September 10-20 2000
keywords:


anisotropy	boundary layers
hybrid	advancing layers
CFD

Abstract

"Efficient Generation of Oriented Meshes for Solving Convection-Diffusion Problems", International Journal for Numerical Methods In Engineering, Wiley, Vol 40, pp.565-576, 1997
keywords:


anisotropy	Shishkin
singularity

Abstract

"Efficient Generation of High Quality Unstructured Surface and Volume Grids", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.distributed at conference, October 2000
keywords:


surface meshing	tetrahedra
triangle	anisotropy
high aspect ratio	advancing front
advancing normal	local reconnection
AFLR	surface mapping
parameterization

Abstract
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"Unstructured Mesh Generation and Adaptivity", ICASE Report No. 95-26, NASA Langley Research Center, pp.45, April 1995
keywords:


adaptivity	anisotropy
classification	Delaunay
node location	overview
tetrahedra	triangle

Abstract

"Adaptive Mesh Generation for Viscous Flows using Delaunay Triangulation", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.611-620, 1988
keywords:


Delaunay	CFD
two-dimensional	anisotropy
Navier Stokes	boundary layer
triangle

Abstract

"Surface Mesh Sizing Control", International Journal for Numerical Methods in Engineering, Wiley, Vol 1, Num 47, pp.289-312, 2000
keywords:


mesh generation	surface mesh sizing
natural neighbor interpolation	surface curvature
boundary layer	anisotropy
background mesh	interpolation
size control

Abstract

"Unstructured Viscous Grid Generation by Advancing-Layers Method", AIAA-93-3453-CP, AIAA, pp.420-434, 1993
keywords:


advancing front	anisotropy
boundary layer	CFD
tetrahedron	triangle

Abstract

"Anisotropic unstructured grid generation for 3D flow simulation problems", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.487-496, July 1998
keywords:


anisotropy	tetrahedra
CFD	advancing front
boundary layer

Abstract

"Update to: Approaches to the automatic generation and control of finite element meshes", Appl Mech Rev, ASME, Vol 49, Num 10, pp.S5-S14, October 1996
keywords:


anisotropy	CAD
classification	hexahedra
improvement	overview
parallel	tetrahedra

Abstract

"Anisotropic Triangular Meshing of Parametric Surfaces via Close Packing of Ellipsoidal Bubbles", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.375-390, October 1997
keywords:


anisotropy	bubble
Delaunay	surface
triangle

Abstract
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"Experiments with Local Refinement Using Anisotropic Transformations", Lecture Notes: Princeton Conference, July 1996
keywords:


anisotropy	refinement
triangle

Abstract

"Local Refinement for Anisotropic Mesh Generation", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.25-35, July 1997
keywords:


anisotropy	Delaunay
LEPP	refinement
triangles

Abstract

"Mesh Smoothing Based on Riemannian Metric Non-Conformity Minimization", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.271-288, September 17-20 2006
keywords:


mesh quality	mesh optimization
mesh adaptation	element size
element shape	metric comparison
boundary orthogonality	anisotropy
metric	smoothing

Abstract
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"Anisotropic mesh refinement for problems with internal and boundary layers", International Journal for Numerical Methods in Engineering, John Wiley, Vol 46, Num 11, pp.1933-1953, December 1999
keywords:


adaptivity	anisotropic mesh refinement
anisotropy	boundary layers
CFD	convection-diffusion problems
hybrid	internal layers
layer-fitted meshes	refinement
stabilized finite element methods

Abstract

"Automatic Nodes Generation In A N Dimensional Space", Communications in Numerical Methods in Engineering, Wiley, Vol 12, pp.243-248, 1996
keywords:


anisotropy	Delaunay
density function	node location

Abstract

"Quad-Dominant Mesh Adaptation Using Specialized Simplicial Optimization", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.21-38, September 17-20 2006
keywords:


quad-dominant	adaptivity
anisotropy	Riemannian metric

Abstract
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"Constructing anisotropic geometric metrics using octrees and skeletons", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.293-304, Sept. 2003
keywords:


geometric adaptation	anisotropic metric
octree skeleton	boundary curvature
domain thickness	medial axis transform
brush fire	sizing function

Abstract
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"Adaptive High-Aspect Ratio Structured 2-D Grids", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.193-204, October 2000
keywords:


mesh optimization	optimization
adaptivity	quadrilateral
structured	anisotropy
boundary layer	thin layer

Abstract
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"Generation of Hybrid Grids via Element-Conversion", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.553-564, July 1998
keywords:


tetrahedra	hybrid
indirect	crystallization
anisotropy	conversion
CFD

Abstract

"Quadrilateral Meshing with Anisotropy and Directionality Control via Close Packing of Rectangular Cells", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.217-225, October 2000
keywords:


anisotropy	computational geometry
quadrilateral	circumcircle test
bubble packing	Delaunay
quadrilateral packing

Abstract
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"Grid Generation by the Delaunay Triangulation", von Karman Institute For Fluid Dynamics 1993-1994 Lecture Series, January 1994
keywords:


adaptivity	anisotropy
boundary constrained	Delaunay
tetrahedron

Abstract

"Meshing Curved Wire-Frame Models Through Energy Minimization and Packing of Ellipses", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Num 46, pp.1221-1236, 1999
keywords:


bubble	anisotropy
surface modeling	wire-frame models
quadrilateral	triangle
surface meshing

Abstract

"High Quality Anisotropic Tetrahedral Mesh Generation Via Ellipsoidal Bubble Packing", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.263-273, October 2000
keywords:


tetrahedra	bubble packing
anisotropy	graded mesh
ellipsoid	advancing front
physically-based

Abstract
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"Anisotropic tetrahedral meshing via bubble packing and advancing front", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 57, Num 13, pp.1923 - 1942, August 2003
keywords:


advancing front	anisotropy
bubble packing	Delaunay
local transformation	tetrahedral mesh

Abstract

"Three-dimensional unstructured mesh generation: Part 1. Fundamental aspects of triangulation and point creation", Computer Methods in Applied Mechanics and Engineering, Elsevier, Vol 134, pp.249-268, 1996
keywords:


anisotropy	Delaunay
point creation	triangle

Abstract