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

Authors

  • I. C. Ramos FaMAF, Universidad Nacional de Córdoba, Córdoba, Argentina
  • Carlos B. Briozzo FaMAF, Universidad Nacional de Córdoba, Córdoba, Argentina

DOI:

https://doi.org/10.4279/pip.070015

Keywords:

Rayleigh-Benard convection, Pseudospectral method,

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.

 

 

Traditional Review

Published

2015-10-04

How to Cite

Ramos, I. C., & Briozzo, C. B. (2015). Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh-Bénard convection. Papers in Physics, 7, 070015. https://doi.org/10.4279/pip.070015

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Section

Articles