Numerical method for optimizing stirrer configurations

Date

2005-12-15

Author

Schafer, M
Karasözen, Bülent
Uludağ, Yusuf
YAPICI, KEREM
Uğur, Ömür

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

309
views

0
downloads

A numerical approach for the numerical 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 flow solver is based on the discretization of the Navier-Stokes equations by means of the finite-volume method for block-structured, boundary-fitted grids with multi-grid acceleration and parallelization by grid partitioning. The optimization tool is an implementation of a trust region based derivative-free method. It is designed to minimize smooth functions whose evaluations are considered expensive and whose derivatives are not available or not desirable to approximate. An exemplary application illustrates the functionality and the properties of the proposed method.

Subject Keywords

Stirrer, Numerical optimisation, Derivative-free optimisation, Computational fluid dynamics, Parallel computing

URI

https://hdl.handle.net/11511/32462

Journal

COMPUTERS & CHEMICAL ENGINEERING

DOI

https://doi.org/10.1016/j.compehemeng.2005.08.016

Collections

Graduate School of Applied Mathematics, Article

Suggestions

OpenMETU
Core

Derivative free optimization methods for optimizing stirrer configurations Uğur, Ömür; SCHAEFER, M.; YAPICI, KEREM (2008-12-16) 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 opt...
Numerical methods for multiphysics flow problems Belenli Akbaş, Mine; Kaya Merdan, Songül; Rebholz, Leo G.; Department of Mathematics (2016) In this dissertation, efficient and reliable numerical algorithms for approximating solutions of multiphysics flow problems are investigated by using numerical methods. The interaction of multiple physical processes makes the systems complex, and two fundamental difficulties arise when attempting to obtain numerical solutions of these problems: the need for algorithms that reduce the problems into smaller pieces in a stable and accurate way and for large (sometimes intractable) amount of computational resou...
Derivative free optimization of stirrer configurations Schaefer, M.; Karasözen, Bülent; Uğur, Ömür; Yapici, K. (2005-07-01) 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 ...
Continuous optimization approaches for clustering via minimum sum of squares Akteke-Ozturk, Basak; Weber, Gerhard Wilhelm; Kropat, Erik (2008-05-23) In this paper, we survey the usage of semidefinite programming (SDP), and nonsmooth optimization approaches for solving the minimum sum of squares problem which is of fundamental importance in clustering. We point out that the main clustering idea of support vector clustering (SVC) method could be interpreted as a minimum sum of squares problem and explain the derivation of semidefinite programming and a nonsmooth optimization formulation for the minimum sum of squares problem. We compare the numerical resu...
Numerical calculation of rough turbulent boundary layer for incompressible fluids Atay, Görkem; Bayer, Özgür; Çıray, Cahit; Department of Mechanical Engineering (2018) In this thesis, a numerical code for calculating turbulent boundary layer parameters is developed. Two-dimensional turbulent flow over a rough flat plate with zero pressure gradient is numerically solved by using the integral method. Fluid mechanics formulations, such as momentum integral equation are coupled with the results of Nikuradse’s experiment. Throughout the calculation, turbulent boundary layer parameters, such as boundary layer thickness, displacement thickness, momentum thickness, local skin-fri...

Citation Formats

M. Schafer, B. Karasözen, Y. Uludağ, K. YAPICI, and Ö. Uğur, “Numerical method for optimizing stirrer configurations,” COMPUTERS & CHEMICAL ENGINEERING, pp. 183–190, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32462.