A high-accurate solution for Darcy-Brinkman double-diffusive convection in saturated porous media

Abstract

The main purpose of this article is to present a high-accurate reference solution for double-diffusive convection in a confined saturated porous medium. The solution is developed using the Fourier-Galerkin spectral method for the coupled flow, heat, and mass transfer equations. The accuracy of the obtained solution is investigated in terms of the truncation orders of the Fourier series and by comparison against a newly developed finite-element model. Results of simulations highlight the accuracy of the proposed reference solution and show its worthiness for benchmarking numerical models dealing with Darcy-Brinkman double-diffusive convection.