Please use this identifier to cite or link to this item: https://doi.org/10.1137/060660667
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dc.titleA level set-boundary element method for the simulation of underwater bubble dynamics
dc.contributor.authorTan, K.L.
dc.contributor.authorKhoo, B.C.
dc.contributor.authorWhite, J.K.
dc.date.accessioned2014-06-16T09:29:44Z
dc.date.available2014-06-16T09:29:44Z
dc.date.issued2007
dc.identifier.citationTan, K.L., Khoo, B.C., White, J.K. (2007). A level set-boundary element method for the simulation of underwater bubble dynamics. SIAM Journal on Scientific Computing 30 (2) : 549-571. ScholarBank@NUS Repository. https://doi.org/10.1137/060660667
dc.identifier.issn10648275
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/54305
dc.description.abstractThe front tracking-boundary element method, though commonly used to simulate underwater bubble dynamics, is not quite well suited for treating the complex topological changes that can occur. In this paper, we present a level set-boundary element method that overcomes this deficiency. This new technique combines the level set method to capture the bubble surface motions and the boundary element method to compute the surface velocities. We propose a level set-type potential function to capture the surface velocity potential, and we formulate a governing equation to evolve this function such that the functional value at the bubble surface is the surface velocity potential consistent with the unsteady Bernoulli equation. A convergence analysis performed using the Rayleigh bubble as reference establishes our implemented procedure to be second-order accurate. We also demonstrate the ease with which our method handles complex topological changes using axisymmetrical examples of bubble merging, bubble splitting, and bubble jet impact. The result for a highly complex problem comprising both jet impact and merging is also presented. Additionally, we develop a more computationally efficient technique that requires computations to be performed only within a narrow band containing the interface. © 2008 Society for Industrial and Applied Mathematics.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1137/060660667
dc.sourceScopus
dc.subjectBoundary element method
dc.subjectLevel set method
dc.subjectPotential flow
dc.subjectUnderwater bubble dynamics
dc.subjectUnsteady Bernoulli equation
dc.typeArticle
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.doi10.1137/060660667
dc.description.sourcetitleSIAM Journal on Scientific Computing
dc.description.volume30
dc.description.issue2
dc.description.page549-571
dc.description.codenSJOCE
dc.identifier.isiut000254461500001
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