Integration of the barotropic vorticity equation on a spherical geodesic grid

David L. Williamson

doi:10.3402/tellusa.v20i4.10044

Integration of the barotropic vorticity equation on a spherical geodesic grid

Tellus

Volume 20 (1968): Issue 4

By: David L. Williamson

Open Access

|Jan 1968

Arakawa , A . 1966 . Computational design for long-term numerical integration of the equations of atmospheric motion . Journal of Computational Physics 1 , 119 – 143 .
Search in Google Scholar Back to article
Gates , W. L. & Riegel , C. A . 1962 . A study of numerical errors in the integration of barotropic flow on a spherical grid . Journal of Geophysical Research 67 , 773 – 784 .
Search in Google Scholar Back to article
Grimmer , M. & Shaw , D. B . 1967 . Energy-pre-serving integrations of the primitive equations on the sphere . Quarterly Journal of the Royal' Meteorological Society 93 , 337 – 349 .
Search in Google Scholar Back to article
Kurihara , Y . 1965 . Numerical integration of the primitive equations on a spherical grid . Monthly Weather Review 93 , 399 – 415 .
Search in Google Scholar Back to article
Kurihara , Y. & Holloway , J. L. , Jr. 1967 . Numerical integration of a nine-level global primitive equa-tions model formulated by the box method . Monthly Weather Review 95 , 509 – 530 .
Search in Google Scholar Back to article
MacNeal , R. H . 1953 . An asymmetrical finite dif-ference network . Quarterly of Applied Math . 11 , 295 – 310 .
Search in Google Scholar Back to article
McHale , J . 1962 . R . Buckmintaer Fuller. New York , George Brazeller , 127 pp .
Search in Google Scholar Back to article
Neamtan , S. M . 1946 . The motion of harmonic waves in the atmosphere . Journal of Meteorology 3 , 53 – 56 .
Search in Google Scholar Back to article
Phillips , N. A . 1959 . Numerical integration of the primitive equations on the hemisphere . Monthly Weather Review 87 , 333 – 345 .
Search in Google Scholar Back to article
Thompson , P. D . 1961 . Numerical Weather Analysis and Prediction . New York , The Macmillan Com-pany , 170 pp .
Search in Google Scholar Back to article
Vestine , E. H. , Sibley , W. L. , Kern , J. W. & Carl-stedt , J. L . 1963 . Integral and spherical-harmonic analysis of the geomagnetic field for 1955. 0, Part 2 . Journal Geomagnetism and Geoelectrkity 15 , 73 – 89 .
Search in Google Scholar Back to article
Winslow , A. M . 1966 . Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh . Journal of Computational Physics 1 , 149 – 172 .
Search in Google Scholar Back to article