Heat and Mass Transfer

, Volume 52, Issue 12, pp 2781–2794 | Cite as

Assessment of zero-equation SGS models for simulating indoor environment

  • Javad TaghiniaEmail author
  • Md Mizanur Rahman
  • Tim K.T. Tse


The understanding of air-flow in enclosed spaces plays a key role to designing ventilation systems and indoor environment. The computational fluid dynamics aspects dictate that the large eddy simulation (LES) offers a subtle means to analyze complex flows with recirculation and streamline curvature effects, providing more robust and accurate details than those of Reynolds-averaged Navier–Stokes simulations. This work assesses the performance of two zero-equation sub-grid scale models: the Rahman–Agarwal–Siikonen–Taghinia (RAST) model with a single grid-filter and the dynamic Smagorinsky model with grid-filter and test-filter scales. This in turn allows a cross-comparison of the effect of two different LES methods in simulating indoor air-flows with forced and mixed (natural + forced) convection. A better performance against experiments is indicated with the RAST model in wall-bounded non-equilibrium indoor air-flows; this is due to its sensitivity toward both the shear and vorticity parameters.


Large Eddy Simulation Mixed Convection Smagorinsky Model Dynamic Smagorinsky Model Kolmogorov Time Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols


Eddy-viscosity coefficient


Smagorinsky coefficient


Filter function


Gravitational acceleration


Total turbulent kinetic energy


Leonard stress


Molecular Prandtl number


Sub-grid scale Prandtl number


Reynolds number


Resolved strain-rate tensor




Grid-filter velocities


Test-filter velocities


Friction velocity


Resolved vorticity tensor


Dimensionless wall distance \((\bar{u}_\tau y/\nu )\)


Thermal expansion coefficient

\(\delta _{i,j}\)

Kronecker’s delta

\(\varDelta t\)

Time step

\(\bar{\varDelta }\)

Grid-filter width

\(\tilde{\varDelta }\)

Test-filter width

\(\nu ,\nu _T\)

Laminar and turbulent viscosities

\(\bar{\theta }_i\)

Grid-filter temperature

\(\tilde{\bar{\theta }}_i\)

Test-filter temperature



\(\tau _{i,j}\)

Sub-grid scale stress tensor



Computational fluid dynamics


Dynamic Smagorinsky model


Large eddy simulation


Reynolds averaged Navier–Stokes




Sub-grid scale



Variable numbers


Inlet condition


Outlet condition


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Javad Taghinia
    • 1
    • 2
    Email author
  • Md Mizanur Rahman
    • 1
  • Tim K.T. Tse
    • 2
  1. 1.Department of Mechanical EngineeringAalto UniversityEspooFinland
  2. 2.Department of Civil and Environmental EngineeringHong Kong University of Science and TechnologyHong Kong SARChina

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