J. Comp. Math., 6 (1988), pp. 307-317.


Using A Predictor-Corrector Scheme To Compute Navier-Stokes Equations In Three-Dimensional Spherical Coordinates

Qian-shun Chang 1

1 Institute of Applied Mathematics, Academia Sinica, Beijing, China

Received 1986-8-7 Revised Online 2006-12-7 Accepted
Abstract

A new predictor-corrector difference scheme is described for solving the time-dependent Navier-Stokes equations in three-dimensional spherical coordinates. A boundary condition for the pressure is deduced by auxiliary velocity. A multigrid algorithm is employed in solving equations of the pressure. An example of application of this scheme is computed and its results are presented.

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