A Spline Collocation Scheme for the Spherical Shallow Water Equations

Journal of Computational Physics

Volumn 148, Issue 1, 1999, Pages 291-298

  Göttelmann, Jochen ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

Method of lines; Numerical weather prediction; Pole problem; Reduced grid; Spherical PDEs

Indexed keywords

EQUATIONS OF MOTION; WEATHER FORECASTING;

METHOD OF LINES; NUMERICAL WEATHER PREDICTION; POLE PROBLEM; REDUCED GRID; SHALLOW WATER EQUATIONS; SPHERICAL PDE; SPLINE COLLOCATION;

NUMERICAL METHODS;

EID: 0347670871     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6111     Document Type: Article

References (7)

1. J. Göttelmann, An adaptive multiscale algorithm for the spherical advection equation, Preprint No. 8-97, Dept. of Mathematics, Univ. Mainz, Germany. [Submitted for publication]
2. J. Göttelmann, Construction of Splines and Wavelets on the Sphere and Numerical Solutions to the Shallow Water Equations of Global Atmospheric Dynamics (Logos Verlag, Berlin, 1998).
3. G. J. Haltiner and R. T. Williams, Numerical Prediction and Dynamic Meteorology (Wiley, New York, 1980).
4. R. Jakob, J. J. Hack, and D. L. Williamson, Solutions to the Shallow Water Test Set Using the Spectral Transform Method, Technical Note NCAR/TN-388+STR, NCAR, Boulder, CO, 1993).
5. R. Jakob-Chien, J. J. Hack, and D. L. Williamson, Spectral transform solutions to the shallow water test set, J. Comput. Phys. 119, 164 (1995).
6. D. L. Williamson, Review of numerical approaches for modelling global transport, in Air Pollution Modelling and its Applications, edited by H. van Dop and G. Kallos (Plenum, New York, 1992).
7. D. L. Williamson, J. B. Drake, J. J. Hack, R. Jakob, and P. N. Swarztrauber, A standard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys. 102, 211 (1992).