ADMESH: An advanced, automatic unstructured mesh generator for shallow water models

Ocean Dynamics

Volumn 62, Issue 10-12, 2012, Pages 1503-1517

  Conroy, Colton J ^a   Kubatko, Ethan J ^a   West, Dustin W ^a  

^a The Ohio State University   (United States)

Author keywords

DistMesh; Mesh generation; Shallow water modeling

Indexed keywords

CUBIC SPLINE; DELAUNAY TRIANGULATION; DISTMESH; ELEMENT QUALITY; FLOW CHARACTERISTIC; FORCE EQUILIBRIUM; GEOMETRIC PROPERTIES; HIGH QUALITY; LOCAL FEATURE; MESH GENERATORS; PIECEWISE LINEAR; SHALLOW WATER MODEL; SHALLOW WATERS; SIGNED DISTANCE FUNCTION; SIZE RATIO; TOPOGRAPHIC GRADIENTS; UNSTRUCTURED MESHES;

GEOMETRY; PIECEWISE LINEAR TECHNIQUES;

MESH GENERATION;

BATHYMETRY; COASTAL ZONE; EQUILIBRIUM; FLOW MODELING; GEOMETRY; HYDROLOGICAL MODELING; NUMERICAL MODEL; SHALLOW WATER; SHALLOW-WATER EQUATION; TOPOGRAPHY; TRIANGULATION;

EID: 84870929480     PISSN: 16167341     EISSN: 16167228     Source Type: Journal    
DOI: 10.1007/s10236-012-0574-0     Document Type: Article

References (43)

1. Armstrong CG, Tam TKH, Robinson DJ, McKeag RM, Price MA (1991) Automatic generation of well structured meshes using medial axis and surface subdivision. Advances in Design Automation 32-2:136-146
2. Bilgili A, Smith KW, LynchDR(2006) BatTri: a two-dimensional bathymetry-based unstructured triangular grid generator for finite element circulation modeling. Comput Geosci 32:632- 642
3. Bossen FJ, Heckbert PS (1996) A Pliant method for anisotropic mesh generation. In: Proceedings of the 5th international meshing roundtable, Sandia National Laboratories pp 63-74
4. Bourguignon D, Cani MP (2000) Controlling anisotropy in massspring systems. In: Eurographics workshop on computer animation and simulation (EGCAS), pp 113-123
5. Conroy CJ (2010) ADmesh: an advanced mesh generator for hydrodynamic models. Masters Thesis, The Ohio State University
6. Dawson C, Kubatko EJ, Westerink JJ, Trahana C, Mirabito C, Michoskia C, Panda N (2011) Discontinuous Galerkin methods for modeling hurricane storm surge. Adv Water Resour 34 (9):1165-1176
7. Engeln-Mullges G, Uhlig F (1996) Numerical algorithms with C. Springer, New York
8. Field DA (2000) Qualitative measures for initial meshes. Int J Numer Meth Eng 47:887-906 (Pubitemid 32212743)
9. Gnoffo P (1982) A vectorized, finite-volume, adaptive-grid algorithm for Navier-Stokes calculations. Appl Math Comput 10:819-835
10. Gnoffo P (1983)Afinite-volume, adaptive grid algorithm applied to planetary entry flowfields. AIAA J 21(9):1249-1254 (Pubitemid 13606639)
11. Gorman GJ, Piggott MD, Pain CC, de Oliveria CRE, Umpleby AP, Goddard AJH (2006) Optimisation based bathymetry approximation through constrained unstructured mesh adaptivity. Ocean Model 12:436-452 (Pubitemid 43045979)
12. Gorman GJ, Piggott MD,Wells MR, Pain CC, Allison PA (2008) A systematic approach to unstructured mesh generation for ocean modeling using GMT and Terreno. Comput Geosci 34:1721-1731
13. Greenberg MD (1998) Advanced engineering mathematics. Prentice-Hall, New Jersey
14. Greenberg DA, Dupont F, Lyard FH, Lynch DR, Werner FE (2007) Resolution issues in numerical models of oceanic and coastal circulation. Cont Shelf Res 27:1317-1343 (Pubitemid 46755995)
15. Hagen SC, Horstmann O, Bennett RJ (2002) An unstructured mesh generation algorithm for shallow water modeling. Int J Comput Fluid D 16:83-91
16. Hagen SC, Parrish DM (2004) Meshing requirements for tidal modeling in the Western North Atlantic. Int J Comput Fluid D 18: 585-595 (Pubitemid 39542521)
17. Hagen SC, Westerink JJ, Kolar RL (2000) One-dimensional finite element grids based on a localized truncation error analysis. Int J Numer Meth Fluids 32:241-261 (Pubitemid 30144568)
18. Hagen SC, Westerink JJ, Kolar RL, Horstman O (2001) Two dimensional, unstructured mesh generation for shallow water models: comparing a wavelength-based approach to a localized truncation error analysis. Int J Numer Meth Fluids 35:669-686
19. Hagen SC, ZundelAK, Kojima S (2004) Automatic, unstructured mesh generation for tidal calculations in a large domain. Int J Comput Fluid D 18:585-595
20. Huthnance JM (1995) Circulation, exchange and water masses at the ocean margin: the role of physical processes at the shelf edge. Prog Oceanogr 35:353-431 (Pubitemid 26464142)
21. Lambrechts J, Comblen R, Legat V, Remacle JF (2008) Multiscale mesh generation on the sphere. Ocean Dyn 58: 461-473
22. Legrand S, Deleergnijder E, Delhez E, Legat V (2007) Unstructured anisotropic mesh generation for the Northwestern European continental shelf, the continental slope and the neighboring ocean. Cont Shelf Res 27:1344- 1356 (Pubitemid 46755996)
23. Leuttich RA,Westerink JJ (1995) Continental shelf scale convergence studies with a barotropic tidal model. In: Quantitative Skill Assessment for Coastal Ocean Models Coastal and Estuarine Studies 47:349-371. American Geophysical Union, Washington DC
24. Loder JW (1980) Topographic rectification of tidal currents on the sides of the Georges Bank. J Phys Oceanogr 10:1399- 1416
25. Maggi AL (2011) Discontinuous Galerkin methods for shallow water flow: developing a computational infrastructure for mixed element meshes. Masters Thesis, The Ohio State University
26. Mauch S (2003) Efficient algorithms for solving static Hamilton- Jacobi equations. PhD Thesis, CalTech
27. Meshkat SN, Sakkas CM (1987) Voroni diagram for multiplyconnected polygonal domains II: implementation and application. IBM J Res Dev 31:373-381
28. National Geophysical Data Center (n.d.) National Oceanic and Atmospheric Administration's Bathymetry & Global Relief. http://www.ngdc.noaa.gov/mgg/ bathymetry/relief.html. Accessed 2012
29. National Geophysical Data Center (n.d.) National Oceanic and Atmospheric Administration's Coastline Extractor. http:// www.ngdc.noaa.gov/mgg/coast/. Accessed 2012
30. Palmerio B (1994) An attraction-repulsion mesh adaption model for flow solution on unstructured grids. Comput Fluids 23(3):487-506
31. Persson PO (2005) Mesh generation for implicit geometries. PhD Thesis, Massachusetts Institute of Technology
32. Persson PO (2006) Mesh size functions for implicit geometries and pde-based gradient limiting. Eng Comput 22(2):95-109
33. Persson PO (2012) DisstMesh - A simple mesh generator in Matlab. http://persson.berkeley.edu/distmesh/. Accessed 2012
34. Persson PO, StrangG(2004)AsimpleMesh generator in Matlab. SIAM Rev 46(2):329-345
35. Rouy E, Tourin A (1992) A viscosity solutions approach to shape-from-shading. SIAM J Numer Anal 29(3):867-884
36. Sethian JA (1999) Level set methods and fast marching methods. Cambridge University Press, New York
37. Siddiqi K, Bouix S, Tannenbaum A, Zucker SW (2002) Hamilton-Jacobi skeletons. Int J Comput Vis 48(3):215-231 (Pubitemid 34950310)
38. Westerink JJ, Luettich RA, Hagen SC (1994a) Meshing requirements for large scale ocean tidal models. In: Computational Methods in Water Resources. Kluwer Academic,Dordrecht, 10:1323-1330
39. Westerink JJ, Luettich RA, Muccino JC (1994b) Modeling tides in the Western North Atlantic using unstructured graded grids. Tellus 46A:178-199 (Pubitemid 24430709)
40. Xing J, DaviesAM(1998) A three-dimensional model of internal tides on the Malin-Hebrides shelf and shelf edge. J Geophys Res 103:27821-27847
41. Yao C, Rokne J (1991) A straightforward algorithm for computing the medial axis of a simple polygon. Int J Comput Math 39:51-60
42. Zhu J, Blacker T, Smith R (2002) Background overlay grid size functions. In: Proceedings of 11th international meshing roundtable. Springer, New York
43. Zundel AK, Jones NL (1996) An integrated surface water modeling system. Hydroinformatics 1 & 2:231-237