A dynamic adaptation scheme for general 3-D hybrid meshes

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 48-49, 2005, Pages 5019-5050

  Kallinderis, Yannis ^a   Kavouklis, Christos ^a  

^a The University of Texas at Austin   (United States)

Author keywords

Data structures; Hybrid mesh; Mesh adaptation

Indexed keywords

DATA STORAGE EQUIPMENT; DATA STRUCTURES; FLOW OF FLUIDS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; OPTIMIZATION;

HYBRID MESH; MESH ADAPTATION;

COMPUTER SIMULATION;

COMPUTER SIMULATION;

EID: 24044526872     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.11.023     Document Type: Article

References (40)

1. Y. Kallinderis Prismatic/tetrahedral grid generation for complex geometries in: Computational Fluid Dynamics Lecture Series 1996-06 1996 von Karman Institute for Fluid Dynamics Rhode Saint Genèse, Belgium
2. Y. Kallinderis Hybrid grids and their applications in: J.F. Thompson (Ed.), CRC Handbook of Grid Generation 1999 CRC Press Boca Raton, FL
3. Y. Kallinderis A. Khawaja H. McMorris Hybrid prismatic/tetrahedral grid generation for viscous flows around complex geometries J. Am. Inst. Aeron. Astron. 34 1996 291-298
4. H. McMorris Y. Kallinderis Octree-advancing front method for generation of unstructured surface and volume meshes J. Am. Inst. Aeron. Astron. 35 1997 976-984
5. S.J. Owen, S. Canann, S. Saigal, Pyramid elements for maintaining tetrahedra to hexahedra conformability, in: Proceedings of the 1997 Joint ASME/ASCE/SES Summer Meeting, AMD-Vol.220, Evanston, IL, 1997.
6. S.J. Owen S. Sunil Formation of pyramid elements for hexahedra to tetrahedra transitions Comput. Methods Appl. Mech. Engrg. 190 2001 4505-4518
7. D. Sharov K. Nakahashi Hybrid prismatic/tetrahedral grid generation for viscous flow applications J. Am. Inst. Aeron. Astron. 36 1998 157-162
8. A.J. Chen Y. Kallinderis Adaptive hybrid (prismatic-tetrahedral) grids for incompressible flows Int. J. Numer. Methods Fluids 26 1998 1085-1105
9. Y. Kallinderis A 3-D finite-volume method for the Navier-Stokes equations with adaptive hybrid grids Appl. Numer. Math. 20 1996 387-406
10. V. Parthasarathy Y. Kallinderis Adaptive prismatic-tetrahedral grid refinement and redistribution for viscous flows J. Am. Inst. Aeron. Astron. 34 1996 707-716
11. J.U. Brackbill J.S. Saltzman Adaptive zoning for singular problems in two dimensions J. Computat. Phys. 46 1982 342-368
12. D.F. Hawken J.J. Gottlieb J.S. Hansen Review of some adaptive node-movement techniques in finite-element and finite-difference solutions of partial differential equations J. Computat. Phys. 95 1991 254-302
13. B.K. Soni R. Koomullil D.S. Thompson H. Thornburg Solution adaptive grid strategies based on point redistribution Comput. Methods Appl. Mech. Engrg. 189 2000 1183-1204
14. Y. Kallinderis J.R. Baron A new adaptive algorithm for turbulent flows Comput. Fluids 21 1992 77-96
15. J. Felcman Grid refinement/alignment in 3D flow computations Math. Comput. Simulat. 61 2003 317-331
16. T. Iliescu A 3D flow-aligning algorithm for convection-diffusion problems Appl. Math. Lett. 12 1999 67-70
17. C.C. Pain A.P. Umpleby C.R.E. de Oliveira A.J.H. Goddard Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations Comput. Methods Appl. Mech. Engrg. 190 2001 3771-3796
18. I. Babuska M. Suri The h-p version of the finite element method with quasi-uniform meshes Math. Model. Numer. Anal. 21 1987 199-238
19. L. Demkowicz J.T. Oden W. Rachowicz O. Hardy Toward a universal h-p adaptive finite element strategy, Part 1. Constrained approximation and data structure Comput. Methods Appl. Mech. Engrg. 77 1989 79-112
20. M.C. Rivara A grid generator based on 4-triangles conforming mesh refinement algorithms Int. J. Numer. Methods Engrg. 24 1987 1343-1354
21. A. Plaza G.F. Carey Local refinement of simplicial grids based on the skeleton Appl. Numer. Math. 32 2000 195-218
22. J.P. Suárez G.F. Carey A. Plaza Graph-based data structures for skeleton-based refinement algorithms Commun. Numer. Methods Engrg. 17 2001 903-910
23. L. Formaggia Data structures for unstructured mesh generation in: J.F. Thompson (Ed.), CRC Handbook of Grid Generation 1999 CRC Press Boca Raton, FL
24. D.E. Knuth The Art of Computer Programming 1997 Addison-Wesley Reading, MA
25. S. Popinet Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries J. Computat. Phys. 190 2003 572-600
26. K.G. Powell A tree-based adaptive scheme for solution of the equations of gas dynamics and magnetohydrodynamics Appl. Numer. Math. 14 1994 327-352
27. F. Alauzet P.L. George B. Mohammadi P. Frey H. Borouchaki Transient fixed point-based unstructured mesh adaptation Int. J. Numer. Methods Fluids 43 2003 729-745
28. R. Biswas, R.C. Strawn, A new procedure for dynamic adaption of three-dimensional unstructured grids, AIAA Paper 93-0672, Reno, NV, January 1993.
29. Y. Kallinderis P. Vijayan Adaptive refinement-coarsening scheme for three-dimensional unstructured meshes J. Am. Inst. Aeron. Astron. 31 1993 1440-1446
30. R. Löhner Mesh adaptation in fluid mechanics Engrg. Fract. Mech. 50 1995 819-847
31. R.D. Rausch, J.T. Batina, H.T. Yang, Spatial adaptation procedures on tetrahedral meshes for unsteady aerodynamic flow calculations, AIAA Paper 93-0670, Reno, NV, January 1993.
32. P. Vijayan Y. Kallinderis A 3D finite-volume scheme for the Euler equations on adaptive tetrahedral grids J. Computat. Phys. 113 1994 249-267
33. R. Biswas R.C. Strawn Tetrahedral and hexahedral mesh adaptation for CFD problems Appl. Numer. Math. 26 1998 135-151
34. Y. Kallinderis Grid adaptation by redistribution and local embedding in: Computational Fluid Dynamics Lecture Series 1996-06 1996 von Karman Institute for Fluid Dynamics Rhode Saint Genèse, Belgium
35. A. Khawaja T. Minyard Y. Kallinderis Adaptive hybrid grid methods Comput. Methods Appl. Mech. Engrg. 189 2000 1231-1245
36. D.J. Mavriplis Adaptive meshing techniques for viscous flow calculations on mixed element unstructured meshes Int. J. Numer. Methods Fluids 34 2000 93-111
37. J. Müller, T. Schönfeld, A comparison of the treatment of hanging nodes for hybrid grid refinement, AIAA Paper 97-1859, Snowmass Village, CO, June 1997.
38. P.J. Frey H. Borouchaki P.L. George 3D Delaunay mesh generation coupled with an advancing-front approach Comput Methods Appl. Mech. Engrg. 157 1998 115-131
39. J.T. Oden T. Strouboulis P. Devloo Adaptive finite element methods for the analysis of inviscid compressible flow Comput Methods Appl. Mech. Engrg. 59 1986 327-362
40. T. Gerhold, O. Friedrich, J. Evans, M. Galle, Calculation of complex three-dimensional configurations employing the DLR-TAU-code, AIAA Paper 97-0167, Reno, NV, January 1997.