Three-dimensional icosahedral grid advection scheme preserving monotonicity and consistency with continuity for atmospheric tracer transport

Journal of the Meteorological Society of Japan

Volumn 89, Issue 3, 2011, Pages 255-268

  Niwa, Yosuke ^a   Tomita, Hirofumi ^b,c   Satoh, Masaki ^a,b   Imasu, Ryoichi ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b JAPAN AGENCY FOR MARINE EARTH SCIENCE AND TECHNOLOGY   (Japan)

^c RIKEN   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC MODELING; ATMOSPHERIC TRANSPORT; DENSITY; LAGRANGIAN ANALYSIS; NUMERICAL METHOD; NUMERICAL MODEL; THREE-DIMENSIONAL MODELING; TRACER;

EID: 79955510029     PISSN: 00261165     EISSN: None     Source Type: Journal    
DOI: 10.2151/jmsj.2011-306     Document Type: Article

References (51)

1. Arakawa, A., and W. Schubert, 1974: Introductionof cumu-lus cloud ensemble with the large-scale environment. part I. J. Atmos. Sci., 31, 671-701.
2. Bacon, D. P., N. N. Ahmad, Z. Boybeyi, T. J. Dunn, M. S. Hall, P. C. S. Lee, R. A. Sarma, and MD. Turner, 2000:Adynamically adapting weather and dispersion model: The operational multiscale environment modelwith grid adaptivity (OMEGA). Mon.Wea. Rev., 128, 2044-2076.
3. Bregman, B., A. Segers, M. Krol, E. Meijer, and P. van Velthoven, 2003: On the use of mass-conserving with fields in chemistry-transport models. Atmos. Chem. Phys., 3, 447-457.
4. 222 using on-line and off-line global models at different horizontal resolutions: a detailed comparison with measurements. Tellus, 51B, 573-602.
5. Durran, D. R., 1998: Numerical Methods forWave Equations in Geophysical Fluid Dynamics. Springer-Verlag, 482pp.
6. Easter, R. C., 1993: Two modified versions of Bott's positive-definite numerical advection scheme. Mon. Wea. Rev., 121, 297-304.
7. Genthon, C., and A. Armengaud, 1995: Radon-222 as a comparative tracer of transport and mixing in two general circulation models of the atmosphere. J. Geophys. Res., 100, 2849-2866.
8. Gross, E. S., L. Bonaventura, and G. Rosatti, 2002: Consistency with continuity in conservative advection schemes for free-surface models. Int.J. Numer. Meth. Fluids, 38, 307-327.
9. Heikes, R., and D. A. Randall, 1995: Numerical integration of the shallow-water equations onatwisted icosahedral grid.PartI:Basicdesignand resultsof tests. Mon.Wea. Rev., 123, 1862-1880.
10. Hourdin, F., and A. Armengaud, 1999: The use of finite-volume methods for atmospheric advection of trace species.PartI:Testofvarious formulationsina general circulation model. Mon.Wea. Rev., 127, 822-837.
11. 222Rn at Bermuda and Mauna Loa: local and distant sources.J. Radioanal. Nucl. Chem.,193,309-318.
12. Jacob, D. J., and M. J. Prather, 1990: Radon-222 as a test of convective transport in a general circulation model. Tellus, 42B, 118-134.
13. 222Rn and other short-lived tracers. J. Geophys. Res., 102, 5953-5970.
14. Jöckel, P., R. von Kuhlmann, M. Lawrence, B. Steil, C. Brenninkmeijer, P. Crutzen, P. Rasch, and B. Eaton, 2001: On a fundamental problem in implementing flux-form advection schemes for tracer transport in 3dimensional general circulation and chemistry transport models. Quart.J. Roy. Meteor. Soc., 127, 1035-1052.
15. Kanamitsu, M., W. Ebisuzaki, J. Woollen, S.-K. Yang, J.J. Hnilo, M. Fiorino, and G. L. Potter, 2002: NCEPDOE AMIP-II Reanalysis (R-2). Bull. Amer. Meteor. Soc. 1631-1643.
16. Kritz, M.A., S.W. Rosner, and D.Z. Stockwell, 1998:Validation of an off-line three-dimensional chemical transport model using observed radon profiles 1. observations. J. Geophys. Res., 103, 8425-8432.
17. Lee, J.-L., and A. E. MacDonald, 2009: A finite-volume icosahedral shallow water model on local coordinate. Mon.Wea. Rev., 137, 1422-1437.
18. van Leer, B., 1977:Towards the ultimate conservative difference scheme.IV.Anew approachto numerical conservation. J. Comput. Phys., 23, 276-299.
19. Leonard, B.P.,A.P. Lock, and M.K. MacVean, 1996:Conservative explicit unrestricted-time-step multidimensional constancy-preserving advection schemes. Mon. Wea. Rev., 124, 2588-2606.
20. Lin, S.-J., 2004: A "Vertically Lagrangian" finite-volume dynamical core for global models. Mon. Wea. Rev., 132, 2293-2307.
21. Lin, S.-J., and R. Rood, 1996: Multidimensional flux-form semi-lagrangian transport schemes. Mon. Wea. Rev., 124, 2046-2070.
22. Lipscomb, W.H., and T.D. Ringler, 2005:An incremental remapping transport scheme onaspherical geodesic grid. Mon.Wea. Rev., 133, 2335-2350.
23. 222radon to the remote troposphere using the model of atmospheric transport and chemistry and assimilated winds from ECMWF and the National Center for Environmental Prediction/NCAR. J. Geophys. Res., 102, 28,139-28,151.
24. Majewski, D., D. Liermann, P. Prohl, B. Ritter, M. Buchhold, T. Hanisch, G. Paul, and W. Wergen, 2002: The operational global icosahedral hexagonal grid-point model GME: Description and high-resolution tests. Mon.Wea. Rev., 130, 319-338.
25. Mellor, G. L., and T. Yamada, 1974:Ahierarchyof turbulence closure models for planetary boundary layers. J. Atmos. Sci., 31, 1791-1806.
26. Miura, H., 2007: An upwind-biased conservative advection scheme for spherical hexagonal-pentagonal grids. Mon.Wea. Rev., 135, 4038-4044.
27. Miura, H., M. Satoh, T. Nasuno, A.T. Noda, and K. Oouchi, 2007: A Madden-Jullian Oscillation event simulated using a global cloud-resolving model. Science, 318, 1763-1765.
28. Miura, H., H. Tomita, T. Nasuno, S. Iga, M. Satoh, and T. Matsuno, 2005:Aclimate sensitivity test usingaglobal cloud resolving model under an aqua planet condition. Geophys. Res. Lett., 32, doi:10.1029/2005GL023672.
29. Nakanishi, M., and H. Niino, 2004: An improved MellorYamadalevel3 model with condensationphysics: its design and verification. Bound.-Layer Meteor., 112, 1-31.
30. Noda, A. T., K. Oouchi, M. Satoh, H. Tomita, S.-I. Iga, and Y. Tsushima, 2009: Importance of the subgridscale turbulent moist process of the turbulent transport: on cloud distribution in global cloud-resolving simulations. Atmos. Res., 96, 208-217.
31. Onogi, K., J. Tsutsui, H. Koide, M. Sakamoto, S. Kobayashi, H. Hatsushika, T. Matsumoto, N. Yamazaki, H. Kamahori, K. Takahashi, S. Kadokura, K. Wada, K. Kato, R. Oyama, T. Ose, N. Mannoji, and R. Taira, 2007: The JRA-25 Reanalysis. J. Meteor. Soc. Japan, 85, 369-432.
32. Petersen, A.C., E.J. Spee, H. vanDop, and W. Hundsdorfer, 1998: An evaluation and intercomparison of four new advection schemes for use in global chemistry models. J. Geophys. Res., 103, 19,253-19, 269.
33. Ringler, T.D., R.P. Heikes, and D.A. Randall,2000:Modeling the atmospheric general circulation usingaspherical geodesic grid: A new class of dynamical cores. Mon.Wea. Rev., 128, 2471-2490.
34. Rotman, D. A., J. R. Tannahill, D. E. Kinnison, P. S. Connell, D. Bergmann, D. Proctor, J. M. Rodriguez, S.-J. Lin, R.B. Rood, M.J. Prather, P.J. Rasch, D.B. Considine, R. Ramaroson, and S. R. Kawa, 2001: Global modeling initiative assessment model: Model description, integration, and testing of the transport shell. J. Geophys. Res., 106, 1669-1691.
35. Sadourny, R.A. Arakawa, and Y. Mintz, 1968:Integration of the nondivergent barotropic vorticity equation with an icosahedral hexagonal grid for the sphere. Mon. Wea. Rev., 96, 351-356.
36. Satoh, M., 2002: Conservative scheme for the compressible nonhydrostatic models with the horizontally explicit and vertically implicit time integration scheme. Mon. Wea. Rev., 130, 1227-1245.
37. Satoh, M.T. Matsuno, H. Tomita, H. Miura, T. Nasuno, and S. Iga, 2008: Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations. J. Comput. Phys., 227, 3486-3514.
38. Schär, C., and P. K. Smolarkiewicz, 1996:A synchronous and iterative flux-correction formalism for coupled transport. J. Comput. Phys., 128, 101-120.
39. Skamarock, W. C., 2006: Positive-definite and monotonic limiters for unrestricted-time-step. Mon. Wea. Rev., 134, 2241-2250.
40. Stuhne, G. R., and W. R. Peltier, 1996:Vortex erosion and amalgamation in a new model of large scale flow on the sphere. J. Comput. Phys., 128, 58-81.
41. Taguchi, S.,&/x&&namegr type=editor&&name&&fname&T.&/fname&&x& &/x&&sname&Iida&/sname&&/name&&x&, and J. Morizumi, 2002: Evaluation of the atmospheric transport model NIRE-CTM-96byusing measured radon-222 concentrations. Tellus, 54B, 250-268.
42. Taylor, K. E., 2001: Summarizing multiple aspects of model performance in a single diagram. J. Geophys. Res., 106, 7183-7192.
43. Thuburn, J., 1996: Multidimensional flux-limited advection schemes. J. Comput. Phys., 23, 74-83.
44. Thuburn, J., 2008: Some conservation issues for the dynamical cores. J. Comput. Phys., 227, 3715-3730.
45. Tomita, H., H. Miura, S. Iga, T. Nasuno, and M. Satoh, 2005: A global cloud-resolving simulation: preliminary results from an aqua planet experiment. Geophys. Res. Lett., 32, doi:10.1029/2005GL022459.
46. Tomita, H., and M. Satoh, 2004:Anew dynamical framework of nonhydrostatic global model using the icosahedral grid. Fluid Dyn. Res., 34, 357-400.
47. Tomita, H., M. Satoh, and K. Goto, 2002: An optimization of the icosahedral grid modifiedbyspring dynamics. J. Comput. Phys., 183, 307-331.
48. Tomita, H., M. Tsugawa, M. Satoh, and K. Goto, 2001: Shallow water model on a modified icosahedral geodesic grid by using spring dynamics. J. Comput. Phys., 174, 579-613.
49. Williamson, D. L., 1968: Integration of the barotropic vorticity equation on a spherical geodesic grid. Tellus, 20, 642-653.
50. Williamson, D.L. J.B. Drake, J.J. Hack, R. Jakob, and P.N. Swarztrauber, 1992:Astandard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys., 102, 211-224.
51. Yeh, K. S., 2007: The streamline subgrid integration method: I. Quasi-monotonic second-order transport schemes. J. Comput. Phys., 225, 1632-1652.