1 |
Baines, P.G., 1976, The stability of planetary waves on a sphere. J. Fluid Mech., 73, 193-213
DOI
ScienceOn
|
2 |
Daley, R., 1983, Linear non-divergent mass-wind laws on the sphere. Tellus, 35A, 17-27
DOI
|
3 |
Haurwitz, B., 1940, The motion of atmospheric disturbances on the spherical earth. J. Mar. Res., 3, 254-267
|
4 |
Ortland, D.A., 2005, Generalized Hough mode: The structure of damped global-scale waves propagating on a mean flow with horizontal and vertical shear. J. Atmos. Sci., 62, 2674-2683
DOI
ScienceOn
|
5 |
Swarztrauber, P.N., 1996, Spectral transform methods for solving the shallow-water equations on the sphere. Mon. Wea Rev., 134, 730-744
|
6 |
Thuburn, J. and Li, Y., 2000, Numerical Simulations of Rossby-Haurwitz waves. Tellus, 52, 180-189
|
7 |
Williamson, D.L. and Browning, G.L., 1973, Comparison of grids and difference approximations for numerical weather prediction over the sphere. J. Appl. Meteor., 12, 264-274
DOI
|
8 |
Williamson, D.L., Drake, J.B., Hack, J.J., Jakob, R., and Swarztrauber, P.N., 1992, A standard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys., 102, 211-224
DOI
ScienceOn
|
9 |
Cheong, H.-B., 2006, A dynamical core with double Fourier series: Comparison with the spherical harmonics method. Mon. Wea. Rev., 134, 1299-1315
DOI
ScienceOn
|
10 |
Browning, G.L., Hack, J.J., and Swarztrauber, P.N., 1989, A comparison of three numerical methods for solving differential equations on the sphere. Mon. Wea. Rev., 117, 1058-1075
DOI
|
11 |
Hoskins, B.J., 1973, Stability of the Rossby-Haurwitz wave. Quart. J. Roy. Meteorol. Soc., 99, 723-745
DOI
|
12 |
Lauter, M., Handorf, D., and Dethloff, K., 2005, Unsteady analytical solutions of the spherical shallow water equations. J. Comput. Phys., 210, 535-553
DOI
ScienceOn
|
13 |
Orszag, S.A., 1970, Transform method for calculation of vector coupled sums: Application to the spectral form of the vorticity equation. J. Atmos. Sci., 27, 890-895
DOI
|
14 |
Galewsky, J., Scott, R.K., and Polvani, L.M., 2004, An initial-value problem for testing numerical models of the shallow water equations. Tellus, 56A, 429-440
|
15 |
Phillips, N.A., 1959, Numerical integration of the primitive equations on the hemisphere. Mon. Wea. Rev., 87, 333-345
DOI
|