Amatos: Parallel adaptive mesh generator for atmospheric and oceanic simulation

Ocean Modelling

Volumn 10, Issue 1-2 SPEC. ISS., 2005, Pages 171-183

  Behrens, Jörn ^a   Rakowsky, Natalja ^b   Hiller, Wolfgang ^c   Handorf, Dörthe ^c   Läuter, Matthias ^c   Päpke, Jürgen ^c   Dethloff, Klaus ^c  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b HAMBURG UNIVERSITY OF TECHNOLOGY   (Germany)

^c ALFRED WEGENER INSTITUTE FOR POLAR AND MARINE RESEARCH   (Germany)

Author keywords

Finite elements; Grid generation; Ocean and atmosphere modeling; Parallelization

Indexed keywords

ATMOSPHERICS; DATA STRUCTURES; FINITE ELEMENT METHOD; HIERARCHICAL SYSTEMS; OCEANOGRAPHY; PROGRAM PROCESSORS; USER INTERFACES;

DOMAIN DECOMPOSITION; GRID GENERATOR AMATOS; MESH ADAPTATION; PARALLEL LARGE SCALE MODEL OF THE ATMOSPHERE (PLASMA); POLAR VORTEX; SPACE FILLING CURVES (SFC);

ADAPTIVE CONTROL SYSTEMS;

FINITE ELEMENT METHOD;

EID: 14744287923     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2004.06.003     Document Type: Article

References (24)

1. D.P. Bacon et al. A dynamically adapting weather and dispersion model: The Operational Multiscale Environment Model with Grid Adaptivity (OMEGA) Mon. Weather Rev. 128 2000 2044-2076
2. E. Bänsch Local mesh refinement in 2 and 3 dimensions Impact Comput. Sci. Eng. 3 1991 181-191
3. Balay, S., Buschelman, K., Eijkhout, V., Gropp, W.D., Kaushik, D., Knepley, M., McInnes, L.C., Smith, B.F., Zhang, H., 2003. PETSc users manual. Tech. Rep. ANL-95/11 - Revision 2.1.6, Argonne National Laboratory, Available from http://www.mcs.anl.gov/petsc
4. S.R.M. Barros C.I. Garcia A global semi-implicit semi-Lagrangian shallow water-model on locally refined grids Mon. Weather Rev. 132 2004 53-65
5. Behrens, J., 1996. Adaptive Semi-Lagrange-Finite-Elemente-Methode zur Lösung der Flachwassergleichungen: Implementierung und Parallelisierung. Berichte zur Polarforschung 217, Alfred-Wegener-Institut, Bremerhaven, PhD thesis, Universität Bremen
6. Behrens, J., July 2003. amatos Documentation. Technische Universität München, second Edition, Available from http://www-m3.ma.tum.de/m3/software/amatos/index.html
7. J. Behrens K. Dethloff W. Hiller A. Rinke Evolution of small scale filaments in an adaptive advection model for idealized tracer transport Mon. Weather Rev. 128 2000 2976-2982
8. Behrens, J., Zimmermann, J., 2000. Parallelizing an unstructured grid generator with a space-filling curve approach. In: Bode, A., Ludwig, T., Karl, W., Wismüller, R. (Eds.), Euro-Par 2000 Parallel Processing, sixth International Euro-Par Conference, Munich, Germany, August/ September 2000, Proceedings. Vol. 1900 of Lecture Notes in Computer Science. Springer-Verlag, 815-823
9. E. Blayo L. Debreu Adaptive mesh refinement for finite difference ocean models: First experiments J. Phys. Oceanogr. 29 1999 1239-1250
10. F.A. Bornemann R. Krause Classical and cascadic multigrid - a methodological comparison In: P. Bjørstadt M. Espedal D. Keyes (Eds.) Proceedings of the ninenth International Conference on Domain Decomposition Methods 1996, Ullensvang, Norway 1998 Domain Decomposition Press Bergen 64-71
11. M.D. Buhmann Radial Basis Functions: Theory and Implementations 2003 Cambridge University Press Cambridge
12. J. Côté A Lagrange multiplier approach for the metric terms of semi-Lagrangian models on the sphere Q. J. Roy. Meteor. Soc. 114 1988 1347-1352
13. G. Dziuk Finite elements for the Beltrami operator on arbitrary surfaces In: S. Hildebrandt R. Leis (Eds.) Partial Differential Equations and Calculus of Variations 1988 Springer 142-155
14. Frickenhaus, S., Hiller, W., Best, M., 2004. FoSSI: Family of simplified solver interfaces for parallel sparse solvers in numerical atmosphere and ocean modeling. Ocean Modelling, accepted for publication
15. F.X. Giraldo The Lagrange-Galerkin Method for the Two-Dimensional Shallow Water Equations on Adaptive Grids Int. J. Numer. Meth. Fluids 33 2000 789-832
16. Läuter, M., 2003. An adaptive Lagrange-Galerkin method for the shallow-water equations on the sphere. In: PAMM-Proceedings in Applied Mathematics and Mechanics. Vol. 3, 48-51
17. K.W. Morton A. Priestley E. Süli Stability of the Lagrange-Galerkin method with non-exact integration Math. Mod. Num. Anal. 22 1988 625-653
18. B. Neta R.T. Williams Stability and phase speed for various finite element formulations of the advection equation Comput. Fluids 14 1986 393-410
19. O. Pironneau Finite element methods for fluids 1989 Masson Paris
20. A. Quarteroni A. Valli Numerical Approximation of Partial Differential Equations 1997 Springer Berlin
21. Rakowsky, N., Frickenhaus, S., Hiller, W., Läuter, M., Handorf, D., Dethloff, K., 2003. A self-adaptive finite element model of the atmosphere. In: Zwieflhofer, W., Kreitz, N. (Eds.), ECMWF Workshop on the Use of High Performance Computing in Meteorology: Realizing TeraComputing, 4-8 November 2002, Reading UK. ECMWF, World Scientific, Singapore, 279-293
22. E. Süli Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations Numer. Math. 53 1988 459-483
23. D.L. Williamson J.B. Drake J.J. Hack R. Jakob P.N. Swarztrauber A standard test set for numerical approximations to the shallow water equations in spherical geometry J. Comp. Physics 102 1992 211-224
24. Zumbusch, G.W., 2001. On the quality of space-filling curve induced partitions. Z. Angew. Math. Mech. 81 (Suppl. 1). 25-28, also as report SFB 256, Universität Bonn, no. 674