Derivative Free Optimization of Stirrer Configurations

M. Schäfer (), B. Karasözen (), Ö. Uğur () and K. Yapıcı
Additional contact information
M. Schäfer: Darmstadt University of Technology, Department of Numerical Methods in Mechanical Engineering
B. Karasözen: Middle East Technical University, Department of Mathematics and Institute of Applied Mathematics
Ö. Uğur: Middle East Technical University, Institute of Applied Mathematics
K. Yapıcı: Middle East Technical University, Department of Chemical Engineering

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1031-1039 from Springer

Abstract: Abstract In the present work a numerical approach for the optimization of stirrer configurations is presented. The methodology is based on a parametrized grid generator, a flow solver, and a mathematical optimization tool, which are integrated into an automated procedure. The grid generator allows the parametrized generation of block-structured grids for the stirrer geometries. 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. As optimization tool the two approaches DFO and CONDOR are considered, which are implementations of trust region based derivative-free methods using multivariate polynomial interpolation. Both are designed to minimize smooth functions whose evaluations are considered 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 also involving a comparison of the two optimization algorithms.

Keywords: Trust Region; Sequential Quadratic Programming; Rushton Turbine; Trust Region Subproblem; Derivative Free Optimization (search for similar items in EconPapers)
Date: 2006
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_103

Ordering information: This item can be ordered from
http://www.springer.com/9783540342885

DOI: 10.1007/978-3-540-34288-5_103

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().