Show simple item record

dc.contributor.authorMönkölä, Sanna
dc.date.accessioned2013-07-02T07:37:33Z
dc.date.available2013-07-02T07:37:33Z
dc.date.issued2013
dc.identifier.citationMönkölä, S. (2013). An optimization-based approach for solving a time-harmonic multiphysical wave problem with higher-order schemes. <i>Journal of Computational Physics</i>, <i>242</i>, 439-459. <a href="https://doi.org/10.1016/j.jcp.2013.02.022" target="_blank">https://doi.org/10.1016/j.jcp.2013.02.022</a>
dc.identifier.otherCONVID_22353507
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/41867
dc.description.abstractThis study considers developing numerical solution techniques for the computer simulations of time-harmonic fluid-structure interaction between acoustic and elastic waves. The focus is on the efficiency of an iterative solution method based on a controllability approach and spectral elements. We concentrate on the model, in which the acoustic waves in the fluid domain are modeled by using the velocity potential and the elastic waves in the structure domain are modeled by using displacement.Traditionally, the complex-valued time-harmonic equations are used for solving the time-harmonic problems. Instead of that, we focus on finding periodic solutions without solving the time-harmonic problems directly. The time-dependent equations can be simulated with respect to time until a time-harmonic solution is reached, but the approach suffers from poor convergence. To overcome this challenge, we follow the approach first suggested and developed for the acoustic wave equations by Bristeau, Glowinski, and Périaux. Thus, we accelerate the convergence rate by employing a controllability method. The problem is formulated as a least-squares optimization problem, which is solved with the conjugate gradient (CG) algorithm. Computation of the gradient of the functional is done directly for the discretized problem. A graph-based multigrid method is used for preconditioning the CG algorithm.fi
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesJournal of Computational Physics
dc.subject.othercontrollability
dc.subject.otherspectral element method
dc.subject.othercoupled problem
dc.subject.otherfluid–structure interaction
dc.subject.otherfourth-order Runge–Kutta
dc.titleAn optimization-based approach for solving a time-harmonic multiphysical wave problem with higher-order schemes
dc.typeresearch article
dc.identifier.urnURN:NBN:fi:jyu-201306292055
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2013-06-29T03:30:04Z
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange439-459
dc.relation.issn0021-9991
dc.relation.numberinseries-
dc.relation.volume242
dc.type.versionacceptedVersion
dc.rights.copyright© 2013 Elsevier Inc. This is a final draft version of an article whose final and definitive form has been published by Elsevier.
dc.rights.accesslevelopenAccessfi
dc.type.publicationarticle
dc.relation.doi10.1016/j.jcp.2013.02.022
dc.type.okmA1


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record