TY - JOUR AU - Swarztrauber, Paul N. AB - SPHEREPACK 3.0 is a collection of FORTRAN programs that facilitates computer modeling of geophysical processes. The package contains programs for computing certain common differential operators including divergence, vorticity, gradients, and the Laplacian of both scalar and vector functions. Programs are also available for inverting these operators. For example, given divergence and vorticity, the package can be used to compute the velocity components. The Laplacian can also be inverted and therefore the package can be used to solve both the scalar and vector Helmholtz equations. Use of the package is illustrated by three sample programs that solve the scalar Helmholtz equation, the time-dependent linear advection equation, and the time-dependent nonlinear shallow-water equations. Accurate solutions are obtained via the spectral method that uses both scalar and vector spherical harmonic transforms that are available to the user. The package also contains utility programs for computing the associated Legendre functions, Gauss points and weights, and multiple fast Fourier transforms. Programs are provided for both equally spaced and Gauss distributed latitudinal points as well as programs that transfer data between these grids. TI - SPHEREPACK 3.0: A Model Development Facility JF - Monthly Weather Review DO - 10.1175/1520-0493(1999)127<1872:SAMDF>2.0.CO;2 DA - 1998-05-08 UR - https://www.deepdyve.com/lp/american-meteorological-society/spherepack-3-0-a-model-development-facility-DjqJ5VLjIQ SP - 1872 EP - 1878 VL - 127 IS - 8 DP - DeepDyve ER -