Solution of the inverse steady state convection problem in a porous mediumby adjoint equations

Authors
Prud'homme, M Nguyen, TH
Citation
M. Prud'Homme et Th. Nguyen, Solution of the inverse steady state convection problem in a porous mediumby adjoint equations, INT COMM HE, 28(1), 2001, pp. 11-21
Citations number
10
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
ISSN journal
07351933 → ACNP
Volume
28
Issue
1
Year of publication
2001
Pages
11 - 21
Database
ISI
SICI code
0735-1933(200101)28:1<11:SOTISS>2.0.ZU;2-#
Abstract
The inverse free convection problem in a porous medium is solved by adjoint equations and conjugate gradient. A derivation of the set of adjoint equat ions in the steady case is provided. Numerical solutions are obtained for t he case of a rectangular enclosure subjected to an unknown heal flux on one side, and to known conditions on the remaining sides. Results are presente d for different our profiles with a Rayleigh number ranging from 0 to 10(4) and the effect of noise in the input data is also examined. (C) 2001 Elsev ier Science Ltd.