Paper 6: Volume 4 No.4 March 2006 Edition
Estimation of Time-Varying Gaseous Contaminant Sources
in Ventilated Enclosures Through Inversion of a Reduced Model
Manuel
Girault1,2, Denis Maillet1,2, Jean-Raymond Fontaine1,3,
Robert Braconnier1,3 Francis Bonthoux1,3
1
Laboratoire de Modélisation et de Prévention de la Pollution, unité mixte
CNRS-INRS
2 Laboratoire d’Energétique et de Mécanique Théorique et Appliquée,
UMR CNRS 7563, Institut National Polytechnique de Lorraine, Université
Henri Poincaré, 2 avenue de la Forêt de Haye, BP 160 - 54504 VANDOEUVRE
CEDEX, FRANCE
3
Institut National de Recherche et de Sécurité, Avenue de Bourgogne,
54500 VANDOEUVRE, FRANCE
Abstract
A
method for estimating the time-varying intensity of emitting sources of a
gaseous contaminant in ventilated enclosures is proposed in this numerical
study. A reduced model linking up a set of control points inside the
domain to the contaminant sources is identified using the Modal
Identification Method, from simulations carried out using CFD software.
This reduced model is then used to solve the inverse forced convection
problem consisting of the estimation of sources emission rates as a
function of time from simulated contaminant concentration measurements.
Key
words: contaminant
sources, turbulent forced convection, estimation of sources, inverse
problem, reduced model, industrial ventilation.
References:
Aoki M: (1968)
“Control of large-scale dynamic systems by aggregation”, IEEE
Transactions on Automatic Control, AC-13, (3), pp246-253.
Atmadja J and
Bagtzoglou AC: (2001) “State of the art report on mathematical methods
for groundwater pollution source identification”, Environmental
Forensics, 2, pp205-214.
Beck JV, Blackwell B
and Haji-Sheikh A: (1996) “Comparison of some inverse heat conduction
methods using experimental data”, International Journal of Heat and
Mass Transfer, 39, pp3649-3657.
Braconnier R, Fontaine JR and Bonthoux F: (2002) “Use of predictive
ventilation to evaluate the emission rates of pollutant sources in an
enclosure and to reconstruct the associated concentration field”, in:
Melikov
AK
, Nielsen PV- Roomvent, first edition,
Copenhagen
,. The Technical
University
of
Denmark
and Danvak 2002, pp133-136.
Braconnier R, Bonthoux F and Fontaine JR: (2003) “Experimental
validation of a numerical method to reconstruct the contaminant
concentration field in an enclosure”, Ventilation 2003, 7th
International Symposium on Ventilation for Contaminant Control,
Sapporo
(
Japan
), August 5-8, 2003.
Colaço MJ and Orlande
HRB: (2001) “Inverse forced convection problem of simultaneous
estimation of two boundary heat fluxes in irregularly shaped channels”, Numerical
Heat Transfer Part A, 39, pp737-760.
Eitelberg E: (1982)
“Comments on model reduction by minimizing the equation error”, IEEE
Transactions on Automatic Control, AC-27, (4) pp1000-1002.
Favennec Y, Girault M
and Petit D: (2006) “The
Adjoint Method coupled with the Modal Identification Method for nonlinear model reduction”, Inverse Problems in Science and
Engineering, 14,
(2), pp153-170.
Girault M and Petit D:
(2004a) “Resolution of Linear Inverse Forced Convection Problems using
model reduction by the Modal Identification Method: application to
turbulent flow in parallel-plate duct”, International Journal of Heat
and Mass Transfer, 47, (17-18), pp3909-3925.
Girault M, Derouineau S, Salat J and Petit D: (2004b) “Réduction de modèle
en convection naturelle par une méthode d’identification (Model
reduction in natural convection using an identification method)”, C.R.
Mécanique, 332, (10) pp.811-818.
Girault M and Petit D:
(2005a) “Identification methods in nonlinear heat conduction – Part 1:
model reduction”, International Journal of Heat and Mass Transfer,
48, (1), pp105-118.
Girault M and Petit D: (2005b) “Identification methods in nonlinear heat
conduction – Part 2: inverse problem using a reduced problem”, International
Journal of Heat and Mass Transfer, 48,
(1), pp119-133.
Litz L (1981) “Order
reduction of linear state space models via optimal approximation of the
nondominant modes”, North-Holland Publishing Company Large Scale System 2
pp171-184.
Marshall SA: (1966)
“An approximate method for reducing the order of a linear system”, Control,
pp642-643.
McGrail BP: (2001)
“Inverse reactive transport simulator (INVERTS): an inverse model for
contaminant transport with nonlinear adsorption and source terms”, Environmental
Modelling and Software, 16, pp711-723.
Moore
BC
: (1981) “Principal
component analysis in linear systems: controlability, observability and
model reduction”, IEEE Transactions on Automatic Control, AC-26,
(1), pp17-32.
Moutsoglou A: (1989)
“An inverse convection problem”, Journal of Heat Transfer, 111,
pp37-43.
Oulefki A and Neveu A:
(1993) “Réduction par Amalgame modal d'un modèle thermique”, Journal
de physique, 3, (2), pp303-320.
Palomo Del Barrio E,
Lefebvre G, Behar P and Bailly N: (2000) “Using model size reduction
techniques for thermal control applications in buildings”, Energy and
Buildings, 33, pp1-14.
Park HM and Chung OY:
(1999) “An inverse natural convection problem of estimating the strength
of a heat source”, International Journal of Heat and Mass Transfer,
42, (23), pp4259-4273.
Petit D, Hachette R
and Veyret D: (1997) “A modal identification method to reduce a high
order model: application to heat conduction modelling”, International
Journal of Modelling and Simulation, 17, (3), pp242-250.
Ridolfi L and Macis M:
(1997) “Identification of source terms in nonlinear convection-diffusion
phenomena by sinc collocation-interpolation methods”, Mathematical
and Computer Modelling, 26, (2), pp69-79.
Videcoq E and Petit D:
(2001) “Model reduction for the resolution of multidimensional inverse
heat conduction problems”, International Journal of Heat and Mass
Transfer, 44, (10), pp1899-1911.
Videcoq E, Petit D and
Piteau A: (2003) “Experimental modelling and estimation of time varying
thermal sources”, International Journal of Thermal Sciences, 42,
(3), pp255-265.
Woodbury KA et al:
(2002) “Inverse Engineering Handbook”, CRC Press.
Zerihun Desta T, Van
Brecht A, Meyers J, Baelmans M and Berckmans D: (2004) “Combining CFD
and data-based mechanistic (DBM) modelling approaches”, Energy and
Buildings, 36, pp535-542.
|
IJV Volume 4 No 4
Contents
Paper
1: Interacting Plumes
Paper
2: Outlet C-Values
Paper
3: Wind Driven Flow
Paper
4: CFD & Full-Scale
Paper
5: Tomography
Paper
6: Time Varying
Paper
7: Pre - Cooling
Paper
8: Wind Catcher
|
