An hp-finite element method for simulating indoor contaminant dispersion Authors
Research Article / Indoor/Outdoor Airflow and Air Quality
First Online: 04 December 2011 Received: 27 November 2010 Revised: 11 January 2011 Accepted: 25 January 2011 DOI:
Cite this article as: Pepper, D.W. & Wang, X. Build. Simul. (2011) 4: 33. doi:10.1007/s12273-011-0022-y Abstract
An hp-adaptive finite element method (FEM) is coupled with a Lagrangian particle transport technique to simulate contaminant dispersion within building interiors, including aircraft cabins. The hp-adaptation follows a three-step adaptation strategy, in which the mesh size and shape function order are dynamically controlled. An
a posterior error estimator based on the L 2 norm calculation is used in the adaptation procedure. Interior flow fields are constructed from the hp-adaptive FEM. Contaminant dispersion is simulated using a random walk/stochastic approach based on a general probability distribution for depicting diffusion. Simulation results for 2- and 3-D interiors are presented. Keywords hp-adaptive FEM contaminant transport indoor dispersion simulation References
Axley JW (1989). Multi-zone dispersal analysis by element assembly.
Building and Environment
, 24: 113–130.
Demkowicz L (2007). Computing with hp-Adaptive Finite Elements, Vol. 1, One and Two Dimensional Elliptic and Maxwell Problems. London: Chapman and Hall/CRC.
Demkowicz L, Kurtz J, Pardo D, Paszynski M, Rachowicz W, Zdunek A (2008). Computing with hp-Adaptive Finite Elements, Vol. 2, Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications. London: Chapman and Hall/CRC.
Karniadakis GEM, Sherwin SJ (1999). Spectral/hp Element Methods for CFD. Oxford: Oxford University Press.
Lin CH, Dunn KH, Horstman RH, Topmiller JL, Ahlers MF, Bennett JS, Sedgwick LM, Wirogo S (2005a). Numerical simulation of airflow and airborne pathogen transport in aircraft cabins—Part I: Numerical simulation of the flow field.
ASHRAE Transactions, 111(1): 755–763.
Lin CH, Dunn KH, Horstman RH, Topmiller JL, Ahlers MF, Bennett JS, Sedgwick LM, Wirogo S (2005b). Numerical simulation of airflow and airborne pathogen transport in aircraft cabins—Part II: Numerical simulation of airborne pathogen transport.
ASHRAE Transactions, 111(1): 764–768.
Murakami S, Kato S, Suyama Y (1987). Three-dimensional numerical simulation of turbulent airflow in a ventilated room by means of a two equation model.
ASHRAE Transactions, 93(2): 621–642.
Nielsen PV (1974). Flow in air conditioned room. PhD Dissertation, Technical University of Denmark.
Nithiarasu P (2008). A unified fractional step method for compressible and incompressible flows, heat transfer and incompressible solid mechanics.
Journal of Numerical Methods for Heat & Fluid Flow
, 18: 111–130.
CrossRef MATH MathSciNet
Pepper DW (2006). Chapter 7 Meshless methods. In: Minkowycz WJ, Sparrow EM, Murthy JY (eds), Handbook of Numerical Heat Transfer, 2nd Edn. Hoboken, NJ: John Wiley & Sons.
Pepper DW, Carrington DB (2009). Modeling Indoor Air Pollution. London: Imperial College Press.
Runchal AK (1980). A random walk atmospheric dispersion model for complex terrain and meteorological conditions. Paper presented at the 2nd AMS Joint Conference of Air Pollution Meteorology, New Orleans, USA.
Wang X, Pepper DW (2007). hp-adaptive finite element simulations of viscous flow including convective heat transfer.
Numerical Heat Transfer, Part B: Fundamentals
, 51: 491–513.
Wang X, Pepper DW (2009). Benchmarking COMSOL Multiphysics 3.5a. Special Report, COMSOL Inc.
Yang J, Li X, Zhao B (2004). Prediction of transient contaminant dispersion and ventilation performance using the concept of accessibility.
Energy and Buildings
, 36: 293–299.
Zheng C, Bennett GD (2002). Applied Contaminant Transport Modeling, 2nd Edn. Hoboken, NJ: John Wiley & Sons.
Zienkiewicz OC, Taylor RL, Nithiarasu P (2005a). The Finite Element Method for Fluid Mechanics, 6th Edn. Oxford: Elsevier.
Zienkiewicz OC, Taylor RL, Zhu JZ (2005b). The Finite Element Method: Its Basis and Fundamentals, 6th Edn. Oxford: Elsevier.
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