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A three-dimensional pseudo-spectral algorithm for the computaion of convection in a rotating annulus. (English) Zbl 0722.76050

Summary: We present a three-dimensional Chebyshev-Fourier pseudospectral algorithm for the computation of the Navier-Stokes equations of an incompressible fluid in a rotating annulus. The algorithm integrates the time-dependent equations in primitive variables with a second order accurate time stepping scheme. The incompressibility constraint is maintained with an influence matrix technique. Rossby waves are obtained for different values of the governing parameters.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
76U05 General theory of rotating fluids
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