Inverse Convection Problems in Irregular Geometries

摘要

This paper deals with the use of the Conjugate Gradient Method of function estimation for the simultaneous identification of two boundary conditions in natural convection inverse problems in cavities. The functions are estimated with no a priori information about its functional form. Irregular geometries in the physical domain are transformed into regular geometries in the computational domain, by using an elliptic scheme of numerical grid generation. Special emphasis is given in this paper to the validation of the numerical solution of the direct problem, which was obtained by finite-volumes. Such a numerical solution was validated by comparing the results obtained here with benchmark solutions available in the literature. An example of the inverse problem solution is given, involving the estimation of the boundary heat fluxes at two surfaces of an annular circular cavity.