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arXiv · 1510.05994

Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh--Bénard convection

I. C. Ramos·C. B. Briozzo
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Abstract

We present the adaptation to non--free boundary conditions of a pseudospectral method based on the (complex) Fourier transform. The method is applied to the numerical integration of the Oberbeck--Boussinesq equations in a Rayleigh--Bénard cell with no-slip boundary conditions for velocity and Dirichlet boundary conditions for temperature. We show the first results of a 2D numerical simulation of dry air convection at high Rayleigh number ($R\sim10^9$). These results are the basis for the later study, by the same method, of wet convection in a solar still.

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I. C. Ramos, C. B. Briozzo. 2015-10-18. Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh--Bénard convection. https://doi.org/10.4279/pip.070015

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