An immersogeometric formulation for free-surface flows with application to marine engineering problems Zhu, Qiming Xu, Fei Hsu, Ming-Chen Xu, Songzhe Hsu, Ming-Chen Yan, Jinhui
dc.contributor.department Mechanical Engineering 2019-12-05T16:52:49.000 2020-06-30T06:05:23Z 2020-06-30T06:05:23Z Tue Jan 01 00:00:00 UTC 2019 2019-11-29
dc.description.abstract <p>An immersogeometric formulation is proposed to simulate free-surface flows around structures with complex geometry. The fluid–fluid interface (air–water interface) is handled by the level set method, while the fluid–structure interface is handled through an immersogeometric approach by immersing structures into non-boundary-fitted meshes and enforcing Dirichlet boundary conditions weakly. Residual-based variational multiscale method (RBVMS) is employed to stabilize the coupled Navier–Stokes equations of incompressible flows and level set convection equation. Other level set techniques, including re-distancing and mass balancing, are also incorporated into the immersed formulation. Adaptive quadrature rule is used to better capture the geometry of the immersed structure boundary by accurately integrating the intersected background elements. Generalized-α" role="presentation" style="box-sizing: border-box; margin: 0px; padding: 0px; display: inline-block; line-height: normal; font-size: 16.2px; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">α method is adopted for time integration, which results in a two-stage predictor multi-corrector algorithm. GMRES solver preconditioned with block Jacobian matrices of individual fluid and level set subproblems is used for solving the coupled linear systems arising from the multi-corrector stage. The capability and accuracy of the proposed method are assessed by simulating three challenging marine engineering problems, which are a solitary wave impacting a stationary platform, dam break with an obstacle, and planing of a DTMB 5415 ship model. A refinement study is performed. The predictions of key quantities of interest by the proposed formulation are in good agreement with experimental results and boundary-fitted simulation results from others. The proposed formulation has great potential for wide applications in marine engineering problems.</p>
dc.description.comments <p>This is a manuscript of an article published as Zhu, Qiming, Fei Xu, Songzhe Xu, Ming-Chen Hsu, and Jinhui Yan. "An immersogeometric formulation for free-surface flows with application to marine engineering problems." <em>Computer Methods in Applied Mechanics and Engineering</em> (2019): 112748. DOI: <a href="" target="_blank">10.1016/j.cma.2019.112748</a>. Posted with permission.</p>
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dc.identifier archive/
dc.identifier.articleid 1394
dc.identifier.contextkey 15928402
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath me_pubs/392
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 23:55:42 UTC 2022
dc.source.uri 10.1016/j.cma.2019.112748
dc.subject.disciplines Applied Mechanics
dc.subject.disciplines Computer-Aided Engineering and Design
dc.subject.disciplines Mechanical Engineering
dc.subject.keywords Immersogeometric method
dc.subject.keywords Level set method
dc.subject.keywords Free-surface flows
dc.subject.keywords Dam break
dc.subject.keywords Shiphydrodynamics
dc.title An immersogeometric formulation for free-surface flows with application to marine engineering problems
dc.type article
dc.type.genre article
dspace.entity.type Publication
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relation.isOrgUnitOfPublication 6d38ab0f-8cc2-4ad3-90b1-67a60c5a6f59
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