Identification of the friction coefficient in shallow-water flows using optimal control theory

Citation
A. Soulaimani et M. Idrissi, Identification of the friction coefficient in shallow-water flows using optimal control theory, INT J C FL, 12(1), 1999, pp. 29-48
Citations number
26
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS
ISSN journal
10618562 → ACNP
Volume
12
Issue
1
Year of publication
1999
Pages
29 - 48
Database
ISI
SICI code
1061-8562(1999)12:1<29:IOTFCI>2.0.ZU;2-#
Abstract
This paper presents a numerical method to identify the friction coefficient in natural free surface flows, based on the optimal control theory. A Lagr angian operator is introduced whose partial derivatives provide state equat ions, adjoint equations and the optimality condition. A stable finite eleme nt method is used for space discretization, and a solution algorithm along with a continuation procedure is proposed and tested for steady and transie nt shallow-water hows. This algorithm seems robust and converges for realis tic initial trials as well as for a large number of parameters.