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Advancing Front

 Advancing front methods. Triangles or tets are placed from the boundary and advance towards the interior of the domain.

MESHING
RESEARCH
CORNER

Anastasiou, K. and C.T. Chan

    "Automatic Triangular Mesh Generation Scheme for Curved Surfaces", Communications in Numerical Methods in Engineering, John Wiley & Sons, Ltd, Vol 12, pp.197-208, 1996
    keywords:
    • advancing front
      		•
    • surface meshing
    • surface patches
      		•
    • triangle
    Abstract

Borouchaki, Houman, Patrick Laug and Paul-Louis George
    "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

Chae, Soo-Won and Jong-Soo Kim
    "Terahedral Meshing Algorithm Using Basic Operators", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.305-318, October 1995
    keywords:
    • advancing front
      		•
    • tetrahedron
    Abstract

Chalasani, Satish; Thompson, David; Soni, Bharat
    "Topological Adaptivity For Mesh Quality Improvement", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.107-116, June 2002
    keywords:
    • adaptivity
      		•
    • advancing layer
    • mesh quality
      		•
    Abstract

Chan, C. T. and K. Anastasiou
    "An Automatic Tetrahedral Mesh Generation Scheme by the Advancing Front Method", Communications in Numerical Methods in Engineering, Wiley, Vol 13, pp.33-46, 1997
    keywords:
    • advancing front
      		•
    • Bezier patches
    • tetrahedron
      		•
    Abstract

Cuilliere, J. C.
    "An adaptive method for the automatic triangulation of 3D parametric surfaces", Computer-Aided Design, Elsevier, Vol 30, Num 2, pp.139-149, 1998
    keywords:
    • advancing front
      		•
    • surface meshing
    • triangles
      		•
    • Riemannian metric
    • adaptivity
      		•
    • parametric surfaces
    Abstract

Diaz-Morcillo, Alejandro, Agustin Bernal-Ros and Luis Nuno
    "Mesh Generation Methods Over Plane and Curved Surfaces", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.397-407, October 1998
    keywords:
    • quadrilateral
      		•
    • triangle
    • surface meshing
      		•
    • advancing front
    • transfinite interpolation
      		•
    • multiblock
    • structured
      		•
    • ruled surface
    • quadric surface
      		•
    • revolution surface
    Abstract
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Diaz-Morcillo, Alejandro, Luis Nuno
    "Grid Generation of Arbitrary 2-D Geometries by Means of an Advancing Front I Interpolation Hybrid Technique", 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.403-409, July 1998
    keywords:
    • quadrilateral
      		•
    • multiblock
    • advancing front
      		•
    • triangle
    Abstract

Field, David A.
    "The legacy of automatic mesh generation from solid modeling", Computer Aided Geometric Design, Elsevier, Vol 12, pp.651-673, 1995
    keywords:
    • advancing front
      		•
    • classification
    • Delaunay
      		•
    • hexahedra
    • octree
      		•
    • overview
    • parametric surface
      		•
    • quality
    • solid model
      		•
    • tetrahedra
    Abstract

Fleischmann, Peter and Siegfried Selberherr
    "Three-Dimensional Delaunay Mesh Generation Using a Modified Advancing Front Approach", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.267-278, October 1997
    keywords:
    • advancing front
      		•
    • boundary constrained
    • Delaunay
      		•
    • semiconductor
    • slivers
      		•
    • tetrahedra
    Abstract
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Folwell, Nathan T. and Scott A. Mitchell
    "Reliable Whisker Weaving via Curve Contraction", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.365-378, October 1998
    keywords:
    • hexahedra
      		•
    • whisker weaving
    • topology
      		•
    • curve contraction
    • advancing front
      		•
    Abstract
    Download Full Paper (Postscript Format)

Frey, Pascal and Paul Louis George
    "Maillages. Applications aux elements finis", Hermes Science Publ., Paris, pp.842, 23 chapters, 1999
    keywords:
    • overview
      		•
    • classification
    • survey
      		•
    • multiblock
    • algebraic
      		•
    • quadtree
    • octree
      		•
    • advancing front
    • Delaunay
      		•
    • medial axis
    • surface meshing
      		•
    • curve meshing
    • implicit surfaces
      		•
    • optimization
    • modifications
      		•
    • adaptivity
    • P-method
      		•
    • parallel
    Abstract

Frey, Pascal J., Houman Borouchaki and Paul-Louis George
    "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
    Download Full Paper (Postscript Format)

Gaither, Adam, Dave Marcum, Donna Reese and Nigel Weatherill
    "A Paradigm for Parallel Unstructured Grid Generation", 5th International Conference on Numerical Grid Generation in Computational Field Simmulations, Mississippi State University, pp.731-740, April 1996
    keywords:
    • advancing front
      		•
    • decomposition
    • Delaunay
      		•
    • parallel processing
    • triangles
      		•
    Abstract

Garimella, Rao V. and Mark S. Shephard
    "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

Garimella, Rao V. and Mark S. Shephard
    "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
    Download Full Paper (Postscript Format)

Garimella, Rao V. and Mark S. Shephard
    "Mesh Quality and Control in Boundary Layer Mesh Generation for Viscous Flows", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • CFD
      		•
    • boundary layer
    • advancing layers
      		•
    • gradation
    • size control
      		•
    Abstract

George, P.L.
    "Automatic Mesh Generation: Application to Finite Element Methods", Wiley, pp.333, 1991
    keywords:
    • advancing front
      		•
    • Delaunay
    • mapped
      		•
    • mulit-block
    • octree
      		•
    • overview
    • surface meshing
      		•
    • Voronoi
    Abstract

George, Paul Louis and Eric Seveno
    "The Advancing-Front Mesh Generation Method Revisited", International Journal for Numerical Methods in Engineering, Wiley, Vol 37, pp.3605-3619, 1994
    keywords:
    • background mesh
      		•
    • advancing front
    • Delaunay
      		•
    • triangle
    • tetrahedra
      		•
    Abstract

Hartmann, Erich
    "A marching method for the triangulation of surfaces", The Visual Computer, Springer, Vol 14, Num 3, pp.95-108, 1998
    keywords:
    • triangle
      		•
    • advancing front
    • marching method
      		•
    • numerical implicitization
    • parametric surface
      		•
    • implicit surface
    • offset surface
      		•
    • blend surface
    Abstract

Holzer, Stefan M.
    "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

Ito, Yasushi, Alan M. Shih and Bharat K. Soni
    "Reliable Isotropic Tetrahedral Mesh Generation Based on an Advancing Front Method", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.95-106, September 19-22 2004
    keywords:
    • advancing front
      		•
    • tetrahedra
    • isotropic tetrahedral mesh
      		•
    • biomedical
    • computed tomography
      		•
    • CT
    • magnetic resonance imaging
      		•
    • MRI
    Abstract
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Ito, Yasushi; Nakahashi, Kazuhiro
    "Surface Triangulation for Complex Geometries", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.709-718, September 2000
    keywords:
    • advancing front
      		•
    • CAD
    • surface mesh
      		•
    • surface triangulation
    • unstructured mesh
      		•
    Abstract

Jayaraman, Buvaneswari; Marcum, David L.
    "A General Procedure for Dynamic Unstructured Grids", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, September 2000
    keywords:
    • advancing-front
      		•
    • AFLR
    • dynamic grids
      		•
    • local reconnection
    • unstructured grid generation
      		•
    Abstract

Khawaja, Aly and Yannis Kallinderis
    "Hybrid grid generation for turbomachinery and aerospace applications", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.145-166, September 10-20 2000
    keywords:
    • CFD
      		•
    • hybrid
    • advancing layers
      		•
    • prisms
    • pyramids
      		•
    • tetrahedra
    Abstract

Khawaja, Aly, Yannis Kallinderis and Harlan McMorris
    "Adaptive Hybrid Grids for Diverse Industrial Applications", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.167-184, October 1998
    keywords:
    • hybrid
      		•
    • prism
    • tetrahedra
      		•
    • boundary layer
    • advancing layers
      		•
    Abstract
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Koomullil, Roy P. and Bharat K. Soni
    "Generalized Grid Techniques in Computational Field Simulation", 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.521-531, July 1998
    keywords:
    • hybrid
      		•
    • structured
    • boundary layer
      		•
    • advancing layers
    • Delaunay
      		•
    • elliptic
    • CFD
      		•
    Abstract

Koomullil, Roy P. and Bharat K. Soni
    "Generalized Grid Techniques in Computational Field Simulation", 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.521-531, July 1998
    keywords:
    • hybrid
      		•
    • structured
    • boundary layer
      		•
    • advancing layers
    • Delaunay
      		•
    • elliptic
    • CFD
      		•
    Abstract

Krause, J., N. Strecker and W. Fichtner
    "Boundary-sensitive mesh generation using an offsetting technique", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.51-59, September 10-20 2000
    keywords:
    • advancing front
      		•
    • boundary layers
    • offsetting
      		•
    • quadrilateral
    • semiconductor
      		•
    • hybrid
    • advancing layers
      		•
    Abstract

Krause, J., W. Fichtner
    "Boundary Sensitive Mesh Generation using an Offsetting Technique", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • boundary layer
      		•
    • offsetting
    • advancing front
      		•
    • quadrilateral
    Abstract

Krause, Jens; Villablanca, Luis; Strecker, Norbert; Fichtner, Wolfgang
    "Robust Anisotropic 3D Grid Generation Using A Normal Offsetting Approach", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.305-314, September 2000
    keywords:
    • advancing front
      		•
    • advancing-front
    • Delaunay
      		•
    • iso-surface
    • parallel
      		•
    • semiconductor
    Abstract

Krysl, Petr
    "Computational Complexity of the Advancing Front Triangulation", Engineering with Computers, Springer-Verlag, Vol 12, pp.16-22, 1996
    keywords:
    • triangle
      		•
    • complexity
    • computational complexity
      		•
    • advancing front
    Abstract

Kucwaj, Jan
    "The Application of Graded Meshes Generator to Adaptation by Remeshing", 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.421-430, July 1998
    keywords:
    • triangle
      		•
    • advancing front
    • Delaunay
      		•
    • adaptivity
    • graded mesh
      		•
    • B-spline
    Abstract

Kwok, W, K. Haghighi and E. Kang
    "An Efficient Data Structure for the Advancing Front Triangular Mesh Generation Technique", Communications in Numericak Methods in Engineering, Vol 11, pp.465-473, 1995
    keywords:
    • advancing front
      		•
    • data structures
    • triangle
      		•

Kwok, Wa and Kamyar Haghighi
    "On the Design of Initial Mesh and Mesh Quality Measures", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.97-108, July 1997
    keywords:
    • adaptivity
      		•
    • advancing front
    • density function
      		•
    • expert system
    • fuzzy logic
      		•
    • metric
    • quality
      		•
    • triangle
    Abstract

Ladeinde, Foluso and Kehinde Alabi
    "A High-Quality Advancing Front Technique Using Recursive Domain Sub-Division", 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.431-446, July 1998
    keywords:
    • quadrilateral
      		•
    • hexahedra
    • advancing front
      		•
    • paving
    • plastering
      		•
    • CFD
    Abstract

Lau, T.S. and S.H. Lo
    "Finite Element Mesh Generation Over Analytical Surfaces", Computers and Structures, Elsevier Science Ltd, Vol 59, Num 2, pp.301-309, 1996
    keywords:
    • advancing front
      		•
    • curvature
    • density function
      		•
    • parametric surfaces
    • surface mesh
      		•
    Abstract

Laug, P.; Borouchaki, H.
    "Adaptive Parametric Surface Meshing Based on Discreet Derivatives", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.719-728, September 2000
    keywords:
    • adaptive
      		•
    • advancing front
    • Delaunay
      		•
    • derivative
    • discrete
      		•
    • finite element
    • mapping
      		•
    • parametric surface
    • Riemannian metric
      		•
    Abstract

Laug, Patrick and Houman Borouchaki
    "Molecular Surface Modeling and Meshing", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.31-41, October 7-10 2001
    keywords:
    • molecular surface
      		•
    • quality mesh
    • parametric surface
      		•
    • riemannian metric
    • advancing front
      		•
    • Delaunay
    Abstract
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Lee, C. K.
    "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

Lee, C. K. and R. E. Hobbs
    "Automatic adaptive finite element mesh generation over arbitrary two-dimensional domain using advancing front technique", Computers and Structures, Pergammon, Vol 71, pp.9-34, 1999
    keywords:
    • adaptivity
      		•
    • advancing front
    • two-dimensional
      		•
    • quadrilateral
    • triangle
      		•
    Abstract

Lee, C.K., and S.H. Lo
    "A New Scheme for the Generation of a Graded Quadrilateral Mesh", Computers and Structures, Pergammon, Vol 52, Num 5, pp.847-857, 1994
    keywords:
    • advancing front
      		•
    • quadrilateral
    • triangle
      		•
    Abstract

Lee, Y. K. and Lee, C. K.
    "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

Lee, Y. K; Lee, C. K
    "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

Li, Xiang-Yang, Shang-Hua Teng and Alper Ungor
    "Biting: advancing front meets sphere packing", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.61-81, September 10-20 2000
    keywords:
    • advancing front
      		•
    • paving
    • circle packing
      		•
    • biting
    • bubble meshing
      		•
    • sphere packing
    • triangle
      		•
    • tetrahedra
    Abstract

Li, Xiang-Yang, Shang-Hua Teng and Alper Ungor
    "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
    Download Full Paper (Postscript Format)

Li, Xiang-Yang, Shang-Hua Teng and Alper Ungor
    "Biting: Advancing Front Meets Sphere Packing", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • bubble
      		•
    • sphere packing
    • tetrahedra
      		•
    • advancing front
    • biting
      		•
    Abstract

Li, Xiang-Yang, Shang-Hua Teng and Alper Ungor
    "Biting Spheres in 3D", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.85-95, October 1999
    keywords:
    • quality
      		•
    • advancing front
    • plastering
      		•
    • sphere packing
    • biting
      		•
    • tetrahedra
    Abstract
    Download Full Paper (Postscript Format)

Lo, S.H.
    "Volume Discretization into Tetrahedra-I. Verification and Orientation of Boundary Surfaces", Computers and Structures, Pergamon Press, Vol 39, Num 5, pp.493-500, 1991
    keywords:
    • advancing front
      		•
    • pre-process
    • tetrahedron
      		•
    • three-dimensional
    Abstract

Lo, S.H.
    "Volume Discretization into Tetrahedra - II. 3D Triangulation by Advancing Front Approach", Computers and Structures, Pergamon, Vol 39, Num 5, pp.501-511, 1991
    keywords:
    • advancing front
      		•
    • quality
    • tetrahedron
      		•
    • three-dimensional
    • triangulation
      		•
    Abstract

Lo, S.H.
    "Generation of High Quality Gradation Finite Element Mesh", Engineering Fracture Mechanics, Pergamon, Vol 2, Num 41, pp.191-202, 1992
    keywords:
    • advancing front
      		•
    • mesh refinement
    • quality checking
      		•
    • triangles

Lohner, R.
    "Progress in Grid Generation via the Advancing Front Technique", Engineering with Computers, Springer-Verlag, Vol 12, pp.186-210, December 1996
    keywords:
    • advancing front
      		•
    • parallel
    • quadrilateral
      		•
    • tetrahedron
    • triangle
      		•
    Abstract

Lohner, Rainald
    "Extensions and Improvements of the Advancing Front Grid Generation Technique", Communications in Numerical Methods in Engineering, John Wiley & Sons, Ltd, Vol 12, pp.683-702, 1996
    keywords:
    • advancing front
      		•
    • CAD
    • density function
      		•
    • terrain modeling
    • triangle
      		•
    • triangulation
    Abstract

Lohner, Rainald
    "Regridding Surface Triangulations", Journal of Computational Physics, Academic Press, Vol 126, pp.1-10, 1996
    keywords:
    • advancing front
      		•
    • discrete surface
    • microtopology
      		•
    • surface meshing
    • triangle
      		•
    Abstract

Lohner, Rainald
    "Surface Gridding from Discrete Data", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.29-44, October 1995
    keywords:
    • advancing front
      		•
    • interpolation
    • scattered data
      		•
    • surface mesh
    • surface reconstruction
      		•
    • terrain modeling
    Abstract
    Download Full Paper (Postscript Format)

Lohner, Rainald and Eugenio Onate
    "An Advancing Front Point Generation Technique", Communications in Numerical Methods in Engineering, Wiley, Vol 14, pp.1097-1108, 1998
    keywords:
    • advancing front
      		•
    • mesh-free
    • finite point method
      		•
    • meshless
    • node generation
      		•
    • point generation
    Abstract

Lohner, Rainald and Juan Cebral
    "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

Lohner, Rainald and Juan R. Cebral
    "Parallel Advancing Front Grid Generation", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.67-74, October 1999
    keywords:
    • parallel
      		•
    • CFD
    • octree
      		•
    • advancing front
    Abstract
    Download Full Paper (Postscript Format)

Lohner, Rainald, Paresh Parikh and Clyde Gumbert
    "Interactive Generation of Unstructured Grid for Three Dimensional Problems", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.687-697, 1988
    keywords:
    • advancing front
      		•
    • tetrahedra
    • background mesh
      		•
    Abstract

Marcum, David L.
    "Generation of High-Quality Unstructured Grids for Computational Field Simulation", 5th International Conference on Grid Generation in Computational Field Simulations, Mississippi State University, April 1996
    keywords:
    • advancing front
      		•
    • Delaunay
    • point creation
      		•
    • tetrahedron
    • triangle
      		•
    Abstract

Marcum, David L.
    "Control of Point Placement And Connectivity in Unstructured Grid Generation Procedures", IX International Conference on Finite Elements in Fluids: New Trends and Applications, Venice, Italy, October 15-21 1995
    keywords:
    • advancing front
      		•
    • Delaunay
    • point creation
      		•
    • tetrahedron
    • triangle
      		•
    Abstract

Marcum, David L.
    "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
    Download Full Paper (Postscript Format)

Marcum, David L.
    "Unstructured Grid Generation Components for Complete Systems", 5th International Conference on Grid Generation in Computational Field Simulations, Mississippi State University, April 1996
    keywords:
    • advancing front
      		•
    • Delaunay
    • point creation
      		•
    • tetrahedron
    • triangle
      		•
    Abstract

Marcum, David L. and Adam Gaither
    "Unstructured Surface Grid Generation Using Global Mapping and Physical Space Approximation", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.397-406, October 1999
    keywords:
    • surface meshing
      		•
    • advancing-front
    • local-reconnection
      		•
    • surface mapping
    • parameterization
      		•
    • patch-independent
    Abstract
    Download Full Paper (Postscript Format)

Marcum, David L. and Nigel P. Weatherill
    "Unstructured Grid Generation Using Iterative Point Insertion and Local Reconnection", AIAA Journal, AIAA, Vol 33, Num 9, pp.1619-1625, September 1995
    keywords:
    • advancing front
      		•
    • Delaunay
    • point creation
      		•
    • tetrahedron
    • triangle
      		•
    Abstract

Marcum, David L., Nigel P. Weatherill, Michael J. Marchant, and Frank Beaven
    "Generation of Unstructured Grids for Viscous Flow Applications", 33rd Aerospace Sciences Meeting and Exhibit, Reno, NV., AIAA 95-0212, January 9-12 1995
    keywords:
    • advancing front
      		•
    • CFD
    • point creation
      		•
    • triangle
    Abstract

Marcum, David L., Nigel P. Weatherill, Michael J. Marchant, and Frank Beaven
    "Adaptive Unstructured Grid Generation for Viscous Flow Applications", 12th AIAA Computational Fluid Dynamics Conference, San Diego, CA., AIAA Paper 95-1726CP, June 19-22 1995
    keywords:
    • adaptivity
      		•
    • advancing front
    • CFD
      		•
    • triangle
    Abstract

Maza, S., F. Noel and J.C. Leon
    "Generation of quadrilateral meshes on free-form surfaces", Computers and Structures, Pergammon, Vol 71, pp.505-524, 1999
    keywords:
    • surface meshing
      		•
    • quadrilateral
    • cleanup
      		•
    • topological optimization
    • indirect
      		•
    • advancing front
    • frontal method
      		•
    Abstract

Mitchell, Curtis R., Gary S. Hufford, and Mahesh M. Athavale
    "Automated Semi-Structured Prismatic Grids For Brush Seals Analysis", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.205-215, October 1995
    keywords:
    • advancing front
      		•
    • triangle

Mobley, Anton V.; Carroll, Michael P.; Tristano, Joseph R.
    "A 3D Surface Meshing Algorithm Using Riemann Calculations with 2D Delaunay in Parametric Space.", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.729-742, September 2000
    keywords:
    • advancing front
      		•
    • advancing front technique
    • algorithms
      		•
    • Delaunay
    • parametric space
      		•
    • Riemann
    • surface mesh
      		•
    Abstract

Neto, Joaquim B. Cavalcante, Paul A. Wawrzynek, Marcelo T. M. Carvalho, Luiz F. Martha, Anthony R. Ingraffea
    "An Algorithm for Three-Dimensional Mesh Generation for Arbitrary Regions with Cracks", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • tetrahedra
      		•
    • crack propogation
    • octree
      		•
    • advancing front
    Abstract

Nguyen-Van-Phai
    "Automatic Mesh Generation with Tetrahedron Elements", International Journal for Numerical Methods in Engineering, Wiley, Vol 18, pp.273-289, 1982
    keywords:
    • tetrahedron
      		•
    • automatic mesh generation
    • advancing front
      		•
    Abstract

Oh, J. Y.; Lee, S. H.; Oh, S. I.
    "A New Aapproach to Generating Surface Triangular Mesh over Multi-connected Domain with Density", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, September 2000
    keywords:
    • adaptive
      		•
    • advancing front
    • density
      		•
    • finite element method
    • triangular surface mesh
      		•
    Abstract

Owen, Steven J.
    "A Survey of Unstructured Mesh Generation Technology", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.239-267, October 1998
    keywords:
    • overview
      		•
    • classification
    • software
      		•
    • triangle
    • quadrilateral
      		•
    • tetrahedra
    • hexahedra
      		•
    • surface meshing
    • refinement
      		•
    • clean-up
    • smoothing
      		•
    • Delaunay
    • advancing front
      		•
    • octree
    • plastering
      		•
    • paving
    • whisker weaving
      		•
    • grid-based
    • indirect
      		•
    Abstract
    Download Full Paper (Postscript Format)

Owen, Steven J. and Sunil Saigal
    "H-Morph: An Indirect Approach to Advancing Front Hex Meshing", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • hexahedra
      		•
    • hex-dominant
    • indirect
      		•
    • boundary recovery
    • advancing front
      		•
    • plastering
    • H-Morph
      		•
    Abstract

Owen, Steven J., M. L. Staten, S. A. Canann and S. Saigal
    "Q-Morph: An Indirect Approach to Advancing Front Quad Meshing", International Journal for Numerical Methods in Engineering, Wiley, Vol 9, Num 44, pp.1317-1340, March 1999
    keywords:
    • mesh generation
      		•
    • quadrilateral
    • advancing front
      		•
    • surface meshing
    • Q-Morph
      		•
    • paving
    Abstract

Owen, Steven J., Matthew L. Staten, Scott A. Canann, and Sunil Saigal
    "Advancing Front Quadrilateral Meshing Using Triangle Transformations", 7th International Meshing Roundtable, Sandia National Labs, pp.409-428, October 1998
    keywords:
    • Q-morph
      		•
    • quadrilateral
    • advancing front
      		•
    • surface meshing
    • edge recovery
      		•
    • surface meshing
    Abstract
    Download Full Paper (Postscript Format)

Owen, Steven J.; Saigal, Sunil
    "H-Morph: an indirect approach to advancing front hex meshing", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 49, Num 1-2, pp.289 - 312, September 2000
    keywords:
    • advancing front
      		•
    • hexahedron
    • hex-dominant
      		•
    Abstract

Peraire, Jaime, Joaquin Peiro, Luca Formaggia, Ken Morgan and Olgierd C. Zienkiewicz
    "Finite Element Euler Computations in Three Dimensions", International Journal For Numerical Methods in Engineering, John Wiley & Sons, Ltd, Vol 26, pp.2135-2159, 1988
    keywords:
    • advancing front
      		•
    • tetrahedron
    • triangles
      		•
    Abstract

Peters, J.
    "Extending Metric-Based Surface Meshing to G1-Connected Patch Complexes", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • surface meshing
      		•
    • metric map
    • patch independent
      		•
    • parametrization
    • advancing front
      		•
    Abstract

Pirzadeh, Shahyar
    "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

Rassineux, A.
    "Generation and Optimization of Tetrahedral Meshes by Advancing Front Technique", International Journal for Numerical Methods in Engineering, Wiley, Vol 41, pp.651-674, 1998
    keywords:
    • advancing front
      		•
    • octree
    • optimization
      		•
    • quality
    • tetrahedra
      		•
    Abstract

Rees, Matthew
    "Combining Quadrilateral and Triangular Meshing Using the Advancing Front Approach", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.337-348, October 1997
    keywords:
    • advancing front
      		•
    • mixed elements
    • quadrilateral
      		•
    • surface
    • triangle
      		•
    Abstract
    Download Full Paper (Postscript Format)

Rypl, Daniel; Bittnar Zdenek
    "Discretization of 3D Surfaces Reconstructed by Interpolating Subdivision", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.679-688, September 2000
    keywords:
    • advancing front technique
      		•
    • Butterfly scheme
    • discrete surface
      		•
    • discretization formula
    • interpolation
      		•
    • subdivision
    • triangular
      		•
    Abstract

Sakovich V.S., Sorokin A.M, Wolkov A.V, Lyapunov S.V.
    "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

Samareh-Abolhassani, Jamshid
    "Unstructured Grids On Nurbs Surfaces", AIAA-93-3454-CP, pp.435-445, 1993
    keywords:
    • advancing front
      		•
    • Newton-Rahpson
    • NURBS
      		•
    • projection
    • surface meshing
      		•
    • triangles
    Abstract

Seveno, Eric
    "Towards an adaptive advancing front method", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.349-360, October 1997
    keywords:
    • advancing front
      		•
    • tetrahedra
    Abstract
    Download Full Paper (Postscript Format)

Shostko, Alexander A., Rainald Lohner and William C. Sandberg
    "Surface Triangulation Over Intersecting Geometries", International Journal for Numerical Methods in Engineering, Wiley, Vol 44, pp.1359-1376, 1999
    keywords:
    • intersecting surfaces
      		•
    • advancing front
    • triangle
      		•
    • surface meshing
    Abstract

Spitaleri, Rosa Maria, Cristina Manzi, Luca Formaggia
    "A Hybrid Grid Generation Algorithm", 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.521-531, July 1998
    keywords:
    • hybrid
      		•
    • structured
    • boundary layer
      		•
    • BFG
    • advancing front
      		•
    • CFD
    Abstract

Stokes, S.; Leatham, M.; Shaw, J. A.
    "Three Dimensional Hybrid Mesh Generation for Viscous Flows Using the Advancing-Layer Approach with Automatic Layer Topology Modification", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.233-242, September 2000
    keywords:
    • advancing layer
      		•
    • concave
    • convex
      		•
    • multiply-connected domain
    Abstract

Thite, Shripad
    "Efficient Spacetime Meshing With Nonlocal Cone Constraints", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.47-58, September 19-22 2004
    keywords:
    • advancing front
      		•
    • partial diĈerential equations
    • discontinuous Galerkin
      		•
    • nonlinear hyperbolic PDE
    • spacetime meshing
      		•
    Abstract
    Download Full Paper (Postscript Format)

Thompson, David S. and Bharat K. Soni
    "Generation of Quad and Hex Dominant Semistructured Meshes Using An Advancing Layer Scheme", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.171-178, October 1999
    keywords:
    • semistructured
      		•
    • quad dominant
    • hex dominant
      		•
    • advancing layer
    • structured
      		•
    • hybrid
    • CFD
      		•
    Abstract
    Download Full Paper (Postscript Format)

Thompson, David S., Satish Chalasani, Bharat K. Soni
    "Generation of Volume Meshes by Extrusion from Surface Meshes of Arbitrary Topology", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.385-393, October 2000
    keywords:
    • hybrid meshes
      		•
    • elliptic smoothing
    • Winslow smoothing
      		•
    • smoothing
    • structured
      		•
    • advancing layer
    Abstract
    Download Full Paper (Postscript Format)

Tristano, Joseph R., Steven J. Owen, and Scott A. Canann
    "Advancing Front Surface Mesh Generation in Parametric Space Using a RiemannianSurface Definition", 7th International Meshing Roundtable, Sandia National Labs, pp.429-445, October 1998
    keywords:
    • triangle
      		•
    • surface meshing
    • Rieman space
      		•
    • advancing front
    Abstract
    Download Full Paper (Postscript Format)

Tysell, Lars, Torsten Berglind and Petter Eneroth
    "Adaptive Grid Refinement and Sensors for the Euler Equations", 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.391-400, July 1998
    keywords:
    • adaptivity
      		•
    • error estimation
    • CFD
      		•
    • tetrahedra
    • advancing front
      		•
    Abstract

Wada, Y., S. Yoshimura and G. Yagawa
    "Intelligent Local Approach for Automatic Hexahedral Mesh Generation", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
    keywords:
    • hexahedra
      		•
    • ILA
    • advancing front
      		•
    • plastering
    Abstract

White, David R. and Paul Kinney
    "Redesign of the Paving Algorithm: Robustness Enhancements through Element by Element Meshing", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.323-335, October 1997
    keywords:
    • advancing front
      		•
    • paving
    • quadrilateral
      		•
    • surface
    Abstract
    Download Full Paper (Postscript Format)

Wilson, J.K., B.H.V. Topping
    "Parallel adaptive tetrahedral mesh generation by the advancing front technique", Computers and Structures, Pergammon, Vol 68, pp.57-78, 1998
    keywords:
    • parallel
      		•
    • adaptivity
    • advancing front
      		•
    • tetrahedra
    Abstract

Xie, G and J.A.H. Raemakers
    "Graded Mesh Generation and Transformations", Finite Elements in Analysis and Design, Elsevier, Num 17, pp.41-55, 1994
    keywords:
    • advancing front
      		•
    • finite elements
    • paving
      		•
    • triangles
    • two-dimensional
      		•

Yamakawa, Soji and Kenji Shimada
    "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
    Download Full Paper (Postscript Format)

Yamakawa, Soji; Shimada, Kenji
    "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

Zhu, J.Z., O.C. Zienkiewicz, E. Hinton and J. Wu
    "A New Approach to the Development of Automatic Quadrilateral Mesh Generation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Vol 32, pp.849-866, 1991
    keywords:
    • advancing front
      		•
    • clean-up
    • quadrilateral
      		•
    Abstract

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