Abstract
Engineering problems of climate control in buildings, cars or aircrafts, where the temperature must be regulated to maintain comfortable and healthy conditions, can be formulated as mixed convection problems, in which the flows are determined both by buoyancy and by inertia forces, while neither of these forces dominate. The objective of the present study is to investigate by means of Direct Numerical Simulations (DNS) instantaneous and statistical characteristics of turbulent mixed convection flows around heated obstacles which take place in indoor ventilation problems for Grashof number up to 1.0e11 and Reynolds numbers based on the height of the domain and the inlet velocity up to 1.0e5. The chosen computational domain, which is a parallelepiped with four parallelepiped obstacles inside, can be assumed as a generic room in indoor ventilation problems. The DNS of turbulent convective flows are carried out with a fourth order accurate finite volume code solving the three-dimensional incompressible Navier–Stokes equations in Boussinesq approximation.
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References
Chorin A. J. & Marsden J. E. (1993) A Mathematical Introduction to Fluid Mechanics. Springer Series: Texts in Applied Mathematics, 4, Springer-Verlag.
Grötzbach G. (1983) Spatial resolution requirements for direct numerical simulation of Rayleigh–Bénard convection, J. Comput. Phys. 49: 241–264.
Leonard A. & Winckelmans G. S. (1999) A tensor-diffusivity subgrid model for Large-Eddy Simulation, Caltech ASCI technical report, cit-asci-tr043, 043.
Schumann U. & Sweet R. A. (1976) A direct method for the solution of Poisson’s equation with Neumann boundary conditions on a staggered grid of arbitrary size, J. Comput. Phys. 20: 171–182.
Shishkina O., Shishkin A. & Wagner C. (2009) Simulation of turbulent thermal convection in complicated domains, J. Comput. Appl. Maths 226, 336–344.
Shishkina O. & Wagner C. (2008) Analysis of sheet-like thermal plumes in turbulent Rayleigh–Bénard convection, J. Fluid Mech. 599: 383–404.
Shishkina O. & Wagner C. (2007) A fourth order finite volume scheme for turbulent flow simulations in cylindrical domains, Comput. Fluids 36: 484–497.
Shishkina O. V. (2007) The Neumann stability of high-order symmetric schemes for convection–diffusion problems, Siberian Mathematical J. 48: 1141–1146.
Verzicco R. & Camussi R. (2003) Numerical experiments on strongly turbulent thermal convection in a slender cylindrical cell, J. Fluid Mech. 477: 19–49.
Acknowledgements
The authors are grateful to the Deutsche Forschungsgemeinschaft (DFG) for supporting this work.
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Shishkina, O., Shishkin, A., Wagner, C. (2010). DNS of Mixed Convection in Enclosed 3D-Domains with Interior Boundaries. In: Armenio, V., Geurts, B., Fröhlich, J. (eds) Direct and Large-Eddy Simulation VII. ERCOFTAC Series, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3652-0_59
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DOI: https://doi.org/10.1007/978-90-481-3652-0_59
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