Localized coarsening of conforming all-hexahedral meshes

Adam C. Woodbury1, Jason F. Shepherd2, Matthew L. Staten3,2, Steven E. Benzley1
1Brigham Young University, Provo, USA
2Sandia National Laboratories, Albuquerque, USA
3Carnegie Mellon University, Pittsburgh, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Rupak B, Strawn RC (1998) Tetrahedral and hexahedral mesh adaptation for CFD problems. Appl Num Math 26:135–151

Morton D, Tyler JM (2000) A new 3D adaptive finite element scheme with 1-irregular hexahedral element meshes. In: Proceedings of the 2000 ACM symposium on applied computing, pp 99–104

Tam A, Ait-Ali-Yahia D, Robichaud MP, Moore M, Kozel V, Habashi WG (2000) Anisotropic mesh adaptation for 3D flows on structured and unstructured grids. Comput Methods Appl Mech Eng 189:1205–1230

Cavallo PA, Sinha N, Feldman GM (2004) Parallel unstructured mesh adaptation for transient moving body and aeropropulsive applications. In: 42nd AIAA aerospace sciences meeting and exhibit, pp 6555–6565

Benzley SE, Perry E, Merkley K, Clark B (1995) A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis. In: Proceedings, 4th international meshing roundtable, Sandia National Laboratories, October 1995, pp 179–191

Tchon KF, Dompierre J, Camarero R (2002) Conformal refinement of all-quadrilateral and all-hexahedral meshes according to an anisotropic metric. In: Proceedings, 11th international meshing roundtable, Sandia National Laboratories, September 2002, pp 231–242

Harris N, Benzley SE, Owen SJ (2004) Conformal refinement of all-hexahedral meshes based on multiple twist plane insertion. In: Proceedings, 13th international meshing roundtable, Sandia National Laboratories, September 2004, pp 157–168

Benzley SE, Harris NJ, Scott MA, Borden MJ, Owen SJ (2005) Conformal refinement and coarsening of unstructured hexahedral meshes. J Comput Inf Sci Eng 5:330–337

Parrish M, Borden MJ, Staten ML, Benzley SE (2007) A selective approach to conformal refinement of unstructured hexahedral finite element meshes. In: Proceedings, 16th International Meshing Roundtable, Sandia National Laboratories, September 2007, pp 251–268

Tautges TJ, Knoop S (2003) Topology modification of hexahedral meshes using atomic dual-based operations. In: Proceedings, 12th international meshing roundtable, Sandia National Laboratories, September 2003, pp 415–423

Sheffer A, Ungor A (2001) Efficient adaptive meshing of parametric models. J Comput Inf Sci Eng 123:366–375

Choi CK, Lee EJ, Yu WJ (2004) Adaptive mesh refinement/recovery strategy for FEA. Struct Eng Mech 17:379–391

Kallinderis Y, Kavouklis C (2005) A dynamic adaptation scheme for general 3D hybrid meshes. Comput Methods Appl Mech Eng 194:5019–5050

Kirk BS, Peterson JW, Stogner RH, Carey GF (2006) libmesh: A c++ library for parallel adaptive mesh refinement/coarsening simulations. Eng Comput 22:237–254

Taghavi R (1996) Automatic, parallel and fault tolerant mesh generation from CAD. Eng Comput 12:178–185

Borden MJ, Benzley SE, Shepherd JF (2002) Coarsening and sheet extraction for all-hexahedral meshes. In: Proceedings, 11th international meshing roundtable, Sandia National Laboratories, September 2002, pp 147–152

Shepherd JF (2007) Topologic and geometric constraint-based hexahedral mesh generation. Published doctoral dissertation, University of Utah, May 2007

Merkley K, Ernst CD, Shepherd JF, Borden MJ (2007) Methods and applications of generalized sheet insertion for hexahedral meshing. In: Proceedings, 16th international meshing roundtable, Sandia National Laboratories, September 2007, pp 233–250

Murdoch PJ, Benzley SE (1995) The spatial twist continuum. In: Proceedings, 4th international meshing roundtable, Sandia National Laboratories, October 1995, pp 243–251

Mitchell SA, Tautges TJ (1995) Pillowing doublets: refining a mesh to ensure that faces share at most one edge. In: Proceedings, 4th international meshing roundtable, Sandia National Laboratories, October 1995, pp 231–240

Staten ML, Benzley SE, Scott MA (2008) A methodology for quadrilateral finite element mesh coarsening. Eng Comput 24:241–251

Blacker TD, Meyers RJ (1993) Seams and wedges in plastering: a 3D hexahedral mesh generation algorithm. Eng Comput 2(9):83–93

Knupp PM (2003) Algebraic mesh quality metrics for unstructured initial meshes. Finite Elem Anal Des 39:217–241

Knupp PM (2003) Hexahedral and tetrahedral mesh shape optimization. Int J Num Methods Eng 58(1):319–332

Knupp PM (2001) Algebraic mesh quality metrics. SIAM J Sci Comput 23(1):193–218

Shepherd JF, Zhang Y, Tuttle C, Silva CT (2007) Quality improvement and boolean-like cutting operations in hexahedral meshes. In: Proceedings, 10th conference of the international society of grid generation, September 2007