A Numerical Solution for an Inverse Natural Magneto-Convection Problem

An inverse boundary-value problem arising in natural magneto-convection is formulated and investigated numerically for the first time. The physical problem takes place in a square cavity whose boundary contains a left hostile wall on which no boundary condition can be prescribed or measured and a ri...

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Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Fundamentals, 2013-01, Vol.63 (2), p.115-138
Main Authors: Alsoy-Akgün, N., Lesnic, D.
Format: Article
Language:English
Subjects:
Algorithms
Boundaries
Boundary conditions
Boundary value problems
Heat flux
Heat transfer
Inverse
Mathematical analysis
Mathematical models
Temperature
Walls
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Summary:An inverse boundary-value problem arising in natural magneto-convection is formulated and investigated numerically for the first time. The physical problem takes place in a square cavity whose boundary contains a left hostile wall on which no boundary condition can be prescribed or measured and a right accessible wall on which two boundary conditions, i.e., boundary temperature and heat flux data, are overspecified. A novel algorithm, based on a regularized dual-reciprocity boundary-element method (DRBEM), is presented. Accurate and stable numerical results at various convective Rayleigh and magnetic Hartmann numbers are reported for retrieving a discontinuous time-varying step heat flux in one example, and a uniform boundary temperature in the second example.
ISSN:1040-7790
1521-0626
DOI:10.1080/10407790.2013.740978