Summary
The numerical simulation of turbulent indoor-air flows is performed using iterative substructuring methods. We present a framework for coupling eddyviscosity turbulence models based on the non-stationary, incompressible, nonisothermal Navier-Stokes problem with non-isothermal near-wall models; this approach covers the k/ε model with an improved wall function concept. The iterative process requires the fast solution of linearized Navier-Stokes problems and of advection-diffusion-reaction problems. These subproblems are discretized using stabilized FEM together with a shock-capturing technique. For the linearized problems we apply an iterative substructuring technique which couples the subdomain problems via Robin-type transmission conditions. The method is applied to a benchmark problem, including comparison with experimental data by Tian and Karayiannis [2000] and to realistic ventilation problems.
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References
R. Codina and O. Soto. Finite element implementations of two-equation and algebraic stress turbulence models for steady incompressible flow. Intern. J. Numer. Meths. Fluids, 90(3):309–334, 1999.
T. Knopp. Finite-element simulation of buoyancy-driven turbulent flows. PhD thesis, Universität Göttingen, 2003.
T. Knopp, G. Lube, R. Gritzki, and M. Rösler. Iterative substructuring techniques for incompressible nonisothermal flows and its application to indoor air flow simulation. Intern. J. Numer. Meths. Fluids, 40:1527–1538, 2002.
G. Lube, T. Knopp, and G. Rapin. Acceleration of an iterative substructuring method for singularly perturbed elliptic problems. Technical report, Universität Göttingen, 2003.
W. Richter, J. Seifert, R. Gritzki, and M. Rösler. Bestimmung des realen Luftwechsels bei Fensterlüftung aus energetischer und bauphysikalischer Sicht. Technical report, Dresden University of Technology, 2003.
Y. Tian and T. Karayiannis. Low turbulence natural convection in an air filled square cavity, part i: The thermal and fluid flow field. Int. J. Heat Mass Transfer, 43:849–866, 2000.
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© 2005 Springer-Verlag Berlin Heidelberg
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Knopp, T., Lube, G., Gritzki, R., Rösler, M. (2005). Iterative Substructuring Methods for Indoor Air Flow Simulation. In: Barth, T.J., et al. Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26825-1_18
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DOI: https://doi.org/10.1007/3-540-26825-1_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22523-2
Online ISBN: 978-3-540-26825-3
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