Numerical simulations of thermally stratified flows in an open domainReport as inadecuate

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1 LMBP - Laboratoire de Mathématiques Blaise Pascal

Abstract : We present two dimensional numerical simulations of circulation induced by a heat island in an unbounded domain. The °ow is thermally stratified in the vertical direction. Boussinesq equations in a closed domain are used to describe the flow variables. For this problem, very elongated computational domains have to be used in order to obtain accurate solutions. A term, whose effect is to smoothly damp the convective terms in a layer close to the vertical boundaries, is introduced in the temperature equation. Therefore, shorter domains can be considered. This method is investigated through the numerical simulations of stationary solutions at Rayleigh number $Ra = 10^5$ and $2.5x10^5$. Time periodic solutions at $Ra = 5x10^5$ and $10^6$ are also reported and analyzed.

Keywords : Boussinesq equations incompressible flows natural convection finite difference scheme open domain heat island circulation

Author: Thierry Dubois - Rachid Touzani -



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