Spectral element simulations of buoyancy-driven flow
Thor Gjesdal, Carl Erik Wasberg, Oyvind Andreassen
Abstract
This paper is divided in two parts. In the first part, a brief review of a spectral element method for the numerical solution of the incompressible Navier-Stokes equations is given. The method is then extended to compute buoyant flows described by the Boussinesq approximation. Free convection in closed two-dimensional cavities are computed and the results are in very good agreement with the available reference solutions.
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