Derivative free optimization methods for optimizing stirrer configurations

Date

2008-12-16

Author

Uğur, Ömür
SCHAEFER, M.
YAPICI, KEREM

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In this paper a numerical approach for the optimization of stirrer configurations is presented. The methodology is based on a flow solver, and a mathematical optimization tool, which are integrated into an automated procedure. The flow solver is based on the discretization of the incompressible Navier-Stokes equations by means of a fully conservative finite-volume method for block-structured, boundary-fitted grids, for allowing a flexible discretization of complex stirrer geometries. Two derivative free optimization algorithms, the DFO and CONDOR are considered, they are implementations of trust region based derivative-free methods using multivariate polynomial interpolation. Both are designed to minimize smooth functions whose evaluations are considered to be expensive and whose derivatives are not available or not desirable to approximate. An exemplary application for a standard stirrer configuration illustrates the functionality and the properties of the proposed methods. It also gives a comparison of the two optimization algorithms.

Subject Keywords

Energy, Numerical optimization, Derivative-free optimization, Computational fluid dynamics, Parallel computing

URI

https://hdl.handle.net/11511/31596

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

DOI

https://doi.org/10.1016/j.ejor.2007.01.058

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

Ö. Uğur, M. SCHAEFER, and K. YAPICI, “Derivative free optimization methods for optimizing stirrer configurations,” EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, pp. 855–863, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31596.