View in EDS

Expensive multi-objective optimization of electromagnetic mixing in a liquid metal.

Saved in:
Bibliographic Details
Title: Expensive multi-objective optimization of electromagnetic mixing in a liquid metal.
Authors: Prinz, Sebastian1, Thomann, Jana2, Eichfelder, Gabriele2 gabriele.eichfelder@tu-ilmenau.de, Boeck, Thomas1, Schumacher, Jörg1
Source: Optimization & Engineering. Jun2021, Vol. 22 Issue 2, p1065-1089. 25p.
Subjects: Liquid metals, Lorentz force, Fluid mechanics, Mathematical optimization, Parameter estimation
Abstract: This paper presents a novel trust-region method for the optimization of multiple expensive functions. We apply this method to a biobjective optimization problem in fluid mechanics, the optimal mixing of particles in a flow in a closed container. The three-dimensional time-dependent flows are driven by Lorentz forces that are generated by an oscillating permanent magnet located underneath the rectangular vessel. The rectangular magnet provides a spatially non-uniform magnetic field that is known analytically. The magnet oscillation creates a steady mean flow (steady streaming) similar to those observed from oscillating rigid bodies. In the optimization problem, randomly distributed mass-less particles are advected by the flow to achieve a homogeneous distribution (objective function 1) while keeping the work done to move the permanent magnet minimal (objective function 2). A single evaluation of these two objective functions may take more than two hours. For that reason, to save computational time, the proposed method uses interpolation models on trust-regions for finding descent directions. We show that, even for our significantly simplified model problem, the mixing patterns vary significantly with the control parameters, which justifies the use of improved optimization techniques and their further development. [ABSTRACT FROM AUTHOR]
Copyright of Optimization & Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 150768753
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Expensive multi-objective optimization of electromagnetic mixing in a liquid metal.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Prinz%2C+Sebastian%22">Prinz, Sebastian</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Thomann%2C+Jana%22">Thomann, Jana</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Eichfelder%2C+Gabriele%22">Eichfelder, Gabriele</searchLink><relatesTo>2</relatesTo><i> gabriele.eichfelder@tu-ilmenau.de</i><br /><searchLink fieldCode="AR" term="%22Boeck%2C+Thomas%22">Boeck, Thomas</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Schumacher%2C+Jörg%22">Schumacher, Jörg</searchLink><relatesTo>1</relatesTo>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Optimization+%26+Engineering%22">Optimization & Engineering</searchLink>. Jun2021, Vol. 22 Issue 2, p1065-1089. 25p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Liquid+metals%22">Liquid metals</searchLink><br /><searchLink fieldCode="DE" term="%22Lorentz+force%22">Lorentz force</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+mechanics%22">Fluid mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents a novel trust-region method for the optimization of multiple expensive functions. We apply this method to a biobjective optimization problem in fluid mechanics, the optimal mixing of particles in a flow in a closed container. The three-dimensional time-dependent flows are driven by Lorentz forces that are generated by an oscillating permanent magnet located underneath the rectangular vessel. The rectangular magnet provides a spatially non-uniform magnetic field that is known analytically. The magnet oscillation creates a steady mean flow (steady streaming) similar to those observed from oscillating rigid bodies. In the optimization problem, randomly distributed mass-less particles are advected by the flow to achieve a homogeneous distribution (objective function 1) while keeping the work done to move the permanent magnet minimal (objective function 2). A single evaluation of these two objective functions may take more than two hours. For that reason, to save computational time, the proposed method uses interpolation models on trust-regions for finding descent directions. We show that, even for our significantly simplified model problem, the mixing patterns vary significantly with the control parameters, which justifies the use of improved optimization techniques and their further development. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Optimization & Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=150768753
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1007/s11081-020-09561-4
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 25
        StartPage: 1065
    Subjects:
      – SubjectFull: Liquid metals
        Type: general
      – SubjectFull: Lorentz force
        Type: general
      – SubjectFull: Fluid mechanics
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
      – SubjectFull: Parameter estimation
        Type: general
    Titles:
      – TitleFull: Expensive multi-objective optimization of electromagnetic mixing in a liquid metal.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Prinz, Sebastian
      – PersonEntity:
          Name:
            NameFull: Thomann, Jana
      – PersonEntity:
          Name:
            NameFull: Eichfelder, Gabriele
      – PersonEntity:
          Name:
            NameFull: Boeck, Thomas
      – PersonEntity:
          Name:
            NameFull: Schumacher, Jörg
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 06
              Text: Jun2021
              Type: published
              Y: 2021
          Identifiers:
            – Type: issn-print
              Value: 13894420
          Numbering:
            – Type: volume
              Value: 22
            – Type: issue
              Value: 2
          Titles:
            – TitleFull: Optimization & Engineering
              Type: main
ResultId 1