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Stabilized finite element formulation of buoyancy-driven incompressible flows. (English) Zbl 1001.76052

Summary: We develop a streamline-upwind/Petrov-Galerkin finite element method for buoyancy-driven incompressible flows with heat and mass transfer. The stabilized finite element formulations are implemented in parallel, using message passing interface libraries. To measure the accuracy of the method, we solve a two-dimensional numerical example of natural convection flows at moderate to high Rayleigh numbers. The three-dimensional applications include the dispersion of smoke from a chimney and within a stadium.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
76R10 Free convection
80A20 Heat and mass transfer, heat flow (MSC2010)
65Y05 Parallel numerical computation
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