Recursive solution of inverse natural convection problems by means of mode reduction |
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Authors: | H M Park W J Lee |
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Affiliation: | (1) Department of Chemical Engineering, Sogang University, Seoul, South Korea, KR |
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Abstract: | A recursive method based on the Kalman filtering is developed to solve inverse natural convection problems of estimating
the unsteady nonuniform wall heat flux from temperature measurements in the flow. By employing the Karhunen–Loève Galerkin
procedure that reduces the Boussinesq equation to a small set of ordinary differential equations, the computational difficulties
associated with the Kalman filtering for the partial differential equations are overcome. The present method is assessed through
several numerical experiments, and is found to yield satisfactory results.
Received 20 January 2001 / Accepted 31 May 2001 |
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Keywords: | Inverse problems Kalman filtering Convection Mode reduction |
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