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where st,SGS is the sub-grid scale Prandtl number There are two basic weaknesses with the Smagorinsky model First, in the near wall region, damping needs to be applied using a damping function similar to Equation 347 Second, Cs has to be adjusted to suit particular ow eld conditions Both of these conditions contribute to dif culties with LES methods in near wall regions where the ow has both laminar and turbulent characteristics (also having caused dif culties with the k-e model requiring special modi cations as discussed above) see Ciofalo (1996) for a detailed analysis in the presence of heat transfer The weaknesses can be addressed using a dynamic SGS model in which, typically, Cs is replaced by a variable in space and time; see Murakami (1998) and Jiang & Chen (2001) for further details It is also possible to adopt a RNG-based procedure as a SGS model (e.

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g Tutar & Oguz 2002) Besides the considerable attention given to LES methods for problems in wind ow around buildings, relatively little attention has been given to internal building ow problems using this method other than that reported above due to Jiang & Chen (2001, 2002) Nonetheless, these methods have the potential to overcome the weaknesses inherent in the conventional k-e turbulence model and its counterparts, particularly with expected future improvements in the capabilities of digital computers Conjugate heat transfer and uid ow in building spaces Two quite separate considerations at surfaces are needed to translate the basic uid ow problem into a conjugate heat transfer problem necessary for an ef cient single-domain solution.

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The rst of these turns out to be trivial and involves conduction through the solid bounding elements of the room enclosure, whereas the second is a little more involved and concerns the treatment of surface radiation exchanges The resulting conjugate model is physically well posed, but results in a signi cant increase in computational costs, especially in multizone building modelling applications Early progress on this problem has attempted to deal with the coupling of the ow eld and heat transfer through solid boundaries sequentially by coupling two different models a computational uid dynamics (CFD) model and a dynamic heat conduction model (in some cases with radiation) for heat transfer through fabric (Homes et al 1990; Havet et al 1994).

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Attempts at conjugate coupling have been reported by Gan (1995) who incorporated a radiosity model into a CFD model for the purpose of analysing room radiant temperature distribution, and Negr o (1998) who con ated a thermal model with a CFD code..

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