P. Godon et G. Shaviv, A 2-DIMENSIONAL TIME-DEPENDENT CHEBYSHEV METHOD OF COLLOCATION FOR THE STUDY OF ASTROPHYSICAL FLOWS, Computer methods in applied mechanics and engineering, 110(1-2), 1993, pp. 171-194
We present a two-dimensional time dependent collocation Chebyshev spec
tral method as a tool for the solution of certain astrophysical flows.
In this paper, we solve the Navier-Stokes equations in spherical coor
dinates. The problem of the propagation of an initial perturbation in
an atmosphere of a compact star is used to demonstrate the method and
its power. In particular, viscosity and rotation are included.