Comptes Rendus
no. 2
Water pollution estimation based on the 2D transport–diffusion model and the Singular Evolutive Interpolated Kalman filter
[Estimation de la pollution de l'eau basée sur un modèle 2D de transport–diffusion et sur le filtre de Kalman singulier évolutif interpolé]
Thu Ha Tran1  ; Dinh Tuan Pham2  ; Van Lai Hoang1  ; Hong Phong Nguyen1
1 Vietnamese Aca. of Sci. and Tech. – 18 Hoang Quoc Viet, Institute of Mechanics – 264 Doi Can, and University of Engineering and Tech. – 144 Xuan Thuy, Hanoï, Vietnam
2 Jean-Kuntzmann Laboratory, INPG/UJF/CNRS, BP 53, 38041 Grenoble cedex, France
Comptes Rendus. Mécanique, Volume 342 (2014) no. 2, pp. 106-124.

Dans cet article, on étudie le processus de transport–diffusion de substances contaminantes dans le lac Than Nhan de Hanoï. Cela se traduit par un modèle mathématique bimensionnel d'équations aux dérivées partielles. Une approximation numérique de la solution est obtenue par une méthode de volumes finis. Des mesures de pollution sont faites en un nombre de points faible. Pour évaluer la pollution en tout point de discrétisation, on propose d'utiliser la méthode du filtre de Kalman singulier évolutif et interpolé.

In this paper, the 2D mathematical water pollution model describing the transport–diffusion processes of some contaminant substances in Thanh Nhan Lake in Hanoï is considered. The finite-volume method is used to solve the model equations. The Singular Evolutive Interpolated Kalman filter is applied to evaluate the pollution level at arbitrary mesh point based only on a small number of measurement points.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2013.10.007
Keywords: Data assimilation, Finite volume method, 2D Hydraulic model, Kalman filter, Pollution
Mot clés : Assimilation de données, Méthode des volumes finis, Modèle hydraulique 2D, Filtre de Kalman, Pollution
Thu Ha Tran 1 ; Dinh Tuan Pham 2 ; Van Lai Hoang 1 ; Hong Phong Nguyen 1

1 Vietnamese Aca. of Sci. and Tech. – 18 Hoang Quoc Viet, Institute of Mechanics – 264 Doi Can, and University of Engineering and Tech. – 144 Xuan Thuy, Hanoï, Vietnam
2 Jean-Kuntzmann Laboratory, INPG/UJF/CNRS, BP 53, 38041 Grenoble cedex, France 
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Thu Ha Tran; Dinh Tuan Pham; Van Lai Hoang; Hong Phong Nguyen. Water pollution estimation based on the 2D transport–diffusion model and the Singular Evolutive Interpolated Kalman filter. Comptes Rendus. Mécanique, Volume 342 (2014) no. 2, pp. 106-124. doi : 10.1016/j.crme.2013.10.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.10.007/

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