Two-way embedding algorithms: A review : Sbmitted to Ocean Dynamics: Special Issue on Multi-Scale Modelling: Nested Grid and Unstructured Mesh Approaches

Ocean Dynamics

Volumn 58, Issue 5-6, 2008, Pages 415-428

  Debreu, Laurent ^a   Blayo, Eric ^b  

^a UNIV GRENOBLE ALPES   (France)

^b UNIV GRENOBLE ALPES   (France)

Author keywords

Mesh refinement; Structured grids; Two way embedding

Indexed keywords

BASIC ALGORITHMS; CONSERVATION PROPERTIES; EMBEDDING ALGORITHMS; ENTIRE DOMAINS; HIGH RESOLUTIONS; LOCAL MESH REFINEMENTS; MESH REFINEMENT; NOISE CONTROLS; OCEAN MODELLING; OCEAN MODELS; STRUCTURED GRIDS; TWO-WAY EMBEDDING;

MATHEMATICAL MODELS;

ALGORITHM; INTERPOLATION; NUMERICAL MODEL; RESOLUTION;

EID: 57849120189     PISSN: 16167341     EISSN: 16167228     Source Type: Journal    
DOI: 10.1007/s10236-008-0150-9     Document Type: Article

References (39)

1. K Alapaty R Mathur T Odman 1998 Intercomparaison of spatial interpolation schemes for use in nested grid models Mon Weather Rev 126 1 243 249
2. A Barth A Alvera-Azcarate M Rixen J-M Beckers 2005 Two-way nested model of mesoscale circulation features in the Ligurian Sea Prog Oceanogr 66 171 189
3. MA Bender RJ Ross RE Tuleya Y Kurihara 1993 Improvements in tropical cyclone track and intensity forecasts using the GFDL initialization system Mon Weather Rev 121 2046 2061
4. MJ Berger 1985 Stability of interfaces with mesh refinement Math Comput 45 301 318
5. MJ Berger J Oliger 1984 Adaptive mesh refinement for hyperbolic partial differential equations J Comput Phys 53 3 484 512
6. MJ Berger P Colella 1989 Local adaptive mesh refinement for shock hydrodynamics J Comput Phys 82 1 64 84
7. E Blayo L Debreu 2005 Revisiting open boundary conditions from the point of view of characteristic variables Ocean Model 9 231 252
8. Blumberg AF, Mellor GL (1987) A description of a three-dimensional coastal ocean circulation model. In: Heaps N (ed) Three-dimensional coastal ocean models, vol 4. American Geophysical Union, Washington, DC, p 208
9. TL Clark D Farley 1984 Severe downslope windstorm calculations in two and three spatial dimensions using anelastic interactive grid nesting: a possible mechanism for gustiness J Atmos Sci 41 329 350
10. HC Davies 1976 A lateral boundary formulation for multi-level prediction models Q J R Meteorol Soc 102 405 418
11. Debreu L, Marchesiello P, Penven P (2008a) Two-Way embedding algorithms for a split-explicit free surface ocean model. Ocean Model (in preparation)
12. L Debreu C Vouland E Blayo 2008 AGRIF: Adaptive Grid Refinement In Fortran Comput Geosci 34 1 8 13
13. JK Dukowicz RD Smith 1994 Implicit free-surface method for the Bryan-Cox-Semtner ocean model J Geophys Res 99 7991 8014
14. AD Fox SJ Maskell 1995 Two-way interactive nesting of primitive equation ocean models with topography J Phys Oceanogr 25 2977 2996
15. I Ginis RM Richardson LM Rothstein 1998 Design of a multiply nested primitive equation ocean model Mon Weather Rev 126 1054 1079
16. EJ Harrison RL Elsberry 1972 A method for incorporating nested finite grids in the solution of systems of geophysical equations J Atmos Sci 29 1235 1245
17. Y Heggelund J Bernsten 2002 A method for analysing nesting techniques for the linearized shallow water equations Int J Numer Methods Fluids 38 163 185
18. A Herrnstein M Wickett G Rodrigue 2005 Structured adaptive mesh refinement using leapfrog time integration on a staggered grid for ocean models Ocean Model 9 3 283 304
19. RW Jones 1977 A nested grid for a three-dimensional model of a tropical cyclone J Atmos Sci 34 1528 1553
20. PD Killworth D Stainforth DJ Webb SM Paterson 1991 The development of a free-surface Bryan-Cox-Semtner ocean model J Phys Oceanogr 21 1333 1348
21. Koch SE, McQueen JT (1987) A survey of nested grid techniques and their potential for use within the MASS weather prediction model. NASA Technical Memorandum 87808
22. Y Kurihara GJ Tripoli MA Bender 1979 Design of a movable nested-mesh primitive equation model Mon Weather Rev 107 239 249
23. Y Kurihara MA Bender 1980 Use of a movable nested-mesh model for tracking a small vortex Mon Weather Rev 108 1792 1809
24. M Laugier P Angot L Mortier 1996 Nested grid methods for an ocean model: a comparative study Int J Numer Methods Fluids 23 11 1163 1195
25. Martin DF, Cartwright KL (1996) Solving Poisson's equation using adaptive mesh refinement. Technical Report UCB/ERL, M96/66 UC, Berkeley
26. EA Martinsen HE Engedahl 1987 Implementation and testing of a lateral boundary scheme as an open boundary condition in a barotropic ocean model Coast Eng 11 603 627
27. Michalakes J (1998) Runtime System Library (RSL) for parallelization of gridded weather models with nesting. http://www-unix.mcs.anl.gov/~michalak/rsl
28. P Oddo N Pinardi 2008 Lateral open boundary conditions for nested limited area models: a scale selective approach Ocean Model 20 134 156
29. LY Oey P Chen 1992 A nested-grid ocean model: with application to the simulation of meanders and eddies in the Norwegian Coastal Current J Geophys Res 97 20 063 086
30. F Olsson NA Petersson 1996 Stability of interpolation on overlapping grids Comput Fluids 25 6 583 605
31. E Part-Enander B Sjogreen 1994 Conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems Comput Fluids 23 3 551 574
32. P Penven L Debreu P Marchesiello JC [tmp] McWilliams 2006 Evaluation and application of the ROMS 1-way embedding procedure to the central california upwelling system Ocean Model 12 157 187
33. AL Perkins LF Smedstad DW Blake GW Heburn AJ Wallcraft 1997 A new nested boundary condition for a primitive-equation ocean model J Geophys Res 102 C2 3483 3500
34. NA Phillips J Shukla 1973 On the strategy of combining coarse and fine grids meshes in numerical weather prediction J Appl Meteorol 12 763 770
35. J Sheng RJ Greatbatch X Zhai L Tang 2005 A new two-way nesting technique for ocean modeling based on the smoothed semi-prognostic method Ocean Dyn 55 162 177
36. Sobel JP (1976) Nested grids in numerical weather prediction and an application to a mesoscale streak. Ph.D. thesis, Pennsylvania State University, p 135
37. MA Spall WR Holland 1991 A nested primitive equation model for oceanic applications J Phys Oceanogr 21 205 220
38. DL Zhang HR Chang NL Seaman TT Warner JM Fritsch 1986 A two-way interactive nesting procedure with variable terrain resolution Mon Weather Rev 114 1330 1339
39. L Zhuo Z Qingcun 1995 The application of time-dependent adaptive mesh model in typhoon track prediction Chin J Atmos Sci 19 303 310