Implementation of the semi-Lagrangian advection scheme on a quasi-uniform overset grid on a sphere

Advances in Atmospheric Sciences

Volumn 23, Issue 5, 2006, Pages 792-801

  Li, Xingliang ^a,b   Chen, Dehui ^b   Peng, Xindong ^c   Xiao, Feng ^b,d   Chen, Xiongshan ^e  

^a NANJING UNIVERSITY OF INFORMATION SCIENCE AND TECHNOLOGY   (China)

^b STATE KEY LABORATORY OF SEVERE WEATHER   (China)

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

^d TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^e INSTITUTE OF ATMOSPHERIC PHYSICS   (China)

Author keywords

Semi Lagrangian scheme; Spherical geometry; Yin Yang grid

Indexed keywords

EID: 33750682377     PISSN: 02561530     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00376-006-0792-9     Document Type: Article

References (23)

1. Arakawa, A., and V. R. Lamb, 1977: Computational design of the basic dynamical process of the UCLA general circulation model. Methods in Computational Physics., Vol. 17, J. Chang, Ed., Academic Press, San Francisco, USA, 173-265.
2. Bermejo, R., and A. Staniforth, 1992: The conversion of semi-Lagrangian advection schemes to quasi-monotone schemes. Mon. Wea. Rev., 120, 2622-2632.
3. Kageyama, A., and T. Sato, 2004: The "Yin-Yang grid": An overset grid in spherical geometry. Geochem. Geophys. Geosyst., 5, Q09005, dio:10.1029/2004GC000734.
4. McDonald, A., 1984: Accuracy of multiply-upstream, semi-Lagrangian advection schemes. Mon. Wea. Rev., 112, 1267-1275.
5. McDonald, A., 1987: Accuracy of multiply-upstream, semi-Lagrangian advection schemes, II. Mon. Wea. Rev., 115, 1446-1450.
6. McDonald, A., and J. R. Bates, 1987: Improving the estimate of the departure point position in a two-time-level semi-Lagrangian and semi-implicit model. Mon. Wea. Rev., 115, 737-739.
7. McDonald, A., and J. R. Bates, 1989: Semi-Lagrangian integration of a gridpoint shallow water model on the sphere. Mon. Wea. Rev., 117, 130-137.
8. Ohfuchi, W., and Coauthor, 2004: 10-km mesh meso-scale resolving simulations of the global atmosphere on the Earth Simulator - Preliminary outcomes of AFES (AGCM for the Earth Simulator). J. Earth Simulator, 1, 5-31.
9. Peng, X., F. Xiao, and K. Takahashi, 2006: Conservative constraint for a quasi-uniform overset grid on sphere. Quart. J. Roy. Meteor. Soc., 132, 979-996.
10. Rancic, M., J. Purser, and F. Mesinger, 1996: A global shallow-water model using an expanded spherical cube: Gnomonic versus conformal coordinates. Quart. J. Roy. Meteor. Soc., 122, 959-982.
11. Ritchie, H., 1985: Application of a semi-Lagrangian integration scheme to the moisture equation in a regional forecast model. Mon. Wea. Rev., 113, 424-435.
12. Ritchie, H., 1987: Semi-Lagrangian advection on a Gaussian grid. Mon. Wea. Rev., 115, 608-619.
13. Ritchie, H., and C. Beaudoin, 1994: Approximations and sensitivity experiments with a baroclinic semi-Lagrangian spectral model. Mon. Wea. Rev., 122, 2391-2399.
14. Robert, A., 1981: A stable numerical integration scheme for the primitive meteorological equation. Atmos. Ocean, 19, 35-46.
15. Robert, A., 1982: Semi-Lagrangian and semi-implicit numerical integration scheme for the primitive meteorological equation. Quart. J. Roy. Meteor. Soc., 60, 319-324.
16. Rood, R., 1987: Numerical advection algorithms and their role in atmospheric transport and chemistry models. Rev. Geophys., 25, 71-100.
17. Staniforth, A., and J. Côté, 1991: Semi-Lagrangian integration schemes for atmospheric models - A review. Mon. Wea. Rev., 119, 2206-2223.
18. Takacs, L. L., 1985: A two-step scheme for the advection equation with minimized dissipation and dispersion errors, Mon. Wea. Rev., 113, 1050-1065.
19. 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.
20. Wiin-Nielsen, A., 1959: On the application of trajectory methods in numerical forecasting. Tellus, 11, 180-196.
21. Williamson, D. L., and P. J. Rasch, 1989: Two-dimensional semi-Lagrangian transport with shape-preserving interpolation. Mon. Wea. Rev., 117, 102-129.
22. Williamson, D. L., J. B. Drake, J. J. Hack, R. Jackob, and P. N. Swarztrauber, 1992: A standard test for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys., 102, 211-224,
23. Xiao, F., T. Yabe, X. Peng, and H. Kobayashi, 2002: Conservative and oscillation-less atmospheric transport schemes based on rational functions. J. Geophys. Res., 107(D22), 4609, doi: 10.1029/2001JD001532.