Identification of advection-diffusion equation from a limited number of spatial locations

Autor:	Marion Gilson, Hugues Garnier, Julien Schorsch
Rok vydání:	2013
Předmět:	Identification (information) Noise Mathematical optimization Distribution (mathematics) Partial differential equation Instrumental variable Applied mathematics Dispersion (water waves) Convection–diffusion equation Spatial analysis Mathematics
Zdroj:	ALCOSP
ISSN:	1474-6670
DOI:	10.3182/20130703-3-fr-4038.00079
Popis:	This paper presents an instrumental variable method for identifying advection-diffusion equation models in presence of output measurement noise. This partial differential equation is commonly used to describe the transport and dispersion of a solute in a river channel. The realistic measurement situation where spatial data are limited and non-uniformly distributed is considered. A refined instrumental variable method involving adaptive data filtering is proposed to handle the non-uniformly spatial data distribution. The performance of the proposed approach are illustrated by a numerical example.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4996720ac1ce8a8cd8509b3261713dc8 https://doi.org/10.3182/20130703-3-fr-4038.00079 Zobrazit plný text záznamu