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SPECTRAL ELEMENT BENCHMARK SIMULATIONS OF NATURAL CONVECTION IN TWO-DIMENSIONAL CAVITIES

Thor Gjesdal
Norwegian Defence Research Establishment, NO-2027 Kjeller, Norway

Carl Erik Wasberg
Norwegian Defence Research Establishment, NO-2027 Kjeller, Norway

B. Anders Pettersson Reif
Norwegian Defence Research Establishment, NO-2027 Kjeller, Norway; and Turbulence Research Laboratory, Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg, Sweden

Abstract

This paper reports the results of spectral element simulations of natural convection in two-dimensional cavities. In particular, a detailed comparison is performed with the reference data for the 8:1 cavity at Ra=3.4×105 recently described by Christon et al. [Int. J. Numer. Meth. Fluids, vol. 40, pp. 953−980, 2002]. The Navier-Stokes equations augmented by the Boussinesq approximation to represent the buoyancy effects are solved by a numerical method based on a spectral element discretisation and operator splitting. The computed solutions agree closely with the reference data for both the square and the rectangular cavity configurations.

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