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- W2076505678 abstract "A Fourier-Chebyshev pseudospectral method for solving the steady 3-D Navier-Stokes and energy equations in cylindrical cavities is presented and discussed. The general method is pseudo-unsteady and uses a semi-implicit finite-difference scheme for the time integration. The generalized ADI procedure is then applied to reduce the problem to successive solutions of 1-D problems. The spatial discretization uses a Fourier-Galerkin approximation in the periodic direction and a Chebyshev-collocation approximation in the other directions. Difficulties related to the pressure are surmounted by using the artificial compressibility method. A suitable variable change has been chosen to avoid the problem of singularity at the axis generated by cylindrical coordinates. The method is first tested on an advection-diffusion equation and then on the Navier-Stokes and heat equations. Finally, the method is illustrated by the problem of convection in a differentially heated fluid." @default.
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- W2076505678 title "A Fourier-Chebyshev pseudospectral method for solving steady 3-D Navier-Stokes and heat equations in cylindrical cavities" @default.
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- W2076505678 doi "https://doi.org/10.1016/0045-7930(91)90014-9" @default.
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