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Advanced Building Simulation

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a different physical state variable. The generalized form of the conservation equation<br />

is given by<br />

�� �� �<br />

� � ��j �<br />

�t<br />

�kj�� ��<br />

� S<br />

�kj� �k j<br />

Integrated building airflow simulation 91<br />

unsteady term � convection term � diffusion term � source term<br />

(4.3)<br />

CFD is a technology that is still very much under development. For example, several<br />

different CFD solution methods are being researched for building airflow simulation:<br />

direct numerical simulation, large eddy simulation (Jiang and Chen 2001), Reynolds<br />

averaged Navier–Stokes modeling, and lattice Boltzmann methods (Crouse et al.<br />

2002). In practice, and in the building physics domain in particular, there are several<br />

problematic CFD issues, of which the amount of necessary computing power, the<br />

nature of the flow fields and the assessment of the complex, occupant-dependent<br />

boundary conditions are the most problematic (Chen 1997). This has often led to<br />

CFD applications being restricted to steady-state cases or very short simulation periods<br />

(Haghighat et al. 1992; Martin 1999; Chen and Srebic 2000). An application example<br />

is shown in Figure 4.4.<br />

Integration of CFD with building energy is also still very much in development<br />

although enormous progress has been made in recent times (Bartak et al. 2002; Zhai<br />

et al. 2002).<br />

Hensen et al. (1996) analyzes the capabilities and applicability of the various<br />

approaches in the context of a displacement ventilation system. One of the main<br />

conclusions of this work is that a higher resolution approach does not necessarily<br />

cover all the design questions that may be answered by a lower resolution approach.<br />

Each approach has its own merits and drawbacks. An environmental engineer typically<br />

needs each approach but at different times during the design process. The main<br />

conclusion of this study is summarized in Table 4.1.<br />

Notwithstanding the above, in the context of combined heat and airflow simulation<br />

in buildings, it is the zonal method that is currently most widely used. The reasons<br />

for this are threefold. First, there is a strong relationship between the nodal networks<br />

that represent the airflow regime and the corresponding networks that represent its<br />

Figure 4.4 Model of a historical building and CFD predictions of air velocity distribution in the central<br />

longitudinal section at a particular point in time (Bartak et al. 2001).

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