A numerical study of heat island flows in an open domain: Stationary solutions

Thierry Dubois (1) , Rachid Touzani (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

We present two dimensional numerical simulations of a natural convection problem in an unbounded domain. A thermal stratification is applied in the vertical direction and the flow circulation is induced by a heat island located on the ground. For this problem, thermal perturbations are convected in the horizontal direction far from the heated element so that very elongated computational domains have to be used in order to compute accurate numerical solutions. To avoid this difficulty thermal sponge layers are added at the vertical boundaries. With this approach, stationary solutions at $Ra\le 10^5$ are investigated. Boussinesq equations are discretized with a second-order finite volume scheme on a staggered grid combined with a second-order projection method for the time integration.

Mots clés: Boussinesq equations; incompressible flows; natural convection; finite volume scheme; projection method; Direct Numerical Simulation; heat island circulation; open domain; sponge layer

Domaines: Analyse numérique [math.NA]; Analyse numérique [cs.NA]; Mécanique des fluides [physics.class-ph]

Thierry Dubois, Rachid Touzani. A numerical study of heat island flows in an open domain: Stationary solutions. International Journal for Numerical Methods in Fluids, 2008, ⟨10.1002/fld.1840⟩. ⟨hal-00162166⟩