TITLE:
A Numerical Method for Shape Optimal Design in the Oseen Flow with Heat Transfer
AUTHORS:
Wenjing Yan, Axia Wang, Guoxing Guan
KEYWORDS:
Shape Optimization, Oseen Equations, Shape Gradient, Minimax Principle, Convective Heat Transfer, Function Space Parametrization Technique
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.10,
October
29,
2015
ABSTRACT: This paper is concerned with the optimal design of an obstacle located in the viscous and incompressible fluid which is driven by the steady-state Oseen equations with thermal effects. The structure of shape gradient of the cost functional is derived by applying the differentiability of a minimax formulation involving a Lagrange functional with a space parametrization technique. A gradient type algorithm is employed to the shape optimization problem. Numerical examples indicate that our theory is useful for practical purpose and the proposed algorithm is feasible.