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

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.

Received: 20 Novembre 2014,  Accepted: 15 September 2015; Edited by: C. A. Condat, G. J. Sibona; DOI:http://dx.doi.org/10.4279/PIP.070015

Cite as: I C Ramos, C B Briozzo, Papers in Physics 7, 070015 (2015)

This paper, by I C Ramos, C B Briozzo, is licensed under the Creative Commons Attribution License 3.0.