A Hybrid Framework of CFD Numerical Methods and its Application to the Simulation of Underwater Explosions

dc.contributor.authorSi, Nanen
dc.contributor.committeechairBrown, Alan J.en
dc.contributor.committeememberWang, Kevin Guanyuanen
dc.contributor.committeememberCanfield, Robert Arthuren
dc.contributor.committeememberGilbert, Christine Marieen
dc.contributor.departmentAerospace and Ocean Engineeringen
dc.date.accessioned2022-02-09T09:00:22Zen
dc.date.available2022-02-09T09:00:22Zen
dc.date.issued2022-02-08en
dc.description.abstractUnderwater explosions (UNDEX) and a ship's vulnerability to them are problems of interest in early-stage ship design. A series of events occur sequentially in an UNDEX scenario in both the fluid and structural domains and these events happen over a wide range of time and spatial scales. Because of the complexity of the physics involved, it is a common practice to separate the description of UNDEX into early-time and late-time, and far-field and near-field. The research described in this dissertation is focused on the simulation of near-field and early-time UNDEX. It assembles a hybrid framework of algorithms to provide results while maintaining computational efficiency. These algorithms include Runge-Kutta, Discontinuous Galerkin, Level Set, Direct Ghost Fluid and Embedded Boundary methods. Computational fluid dynamics (CFD) solvers are developed using this framework of algorithms to demonstrate the computational methods and their ability to effectively and efficiently solve UNDEX problems. Contributions, made in the process of satisfying the objective of this research include: the derivation of eigenvectors of flux Jacobians and their application to the implementation of the slope limiter in the fluid discretization; the three-dimensional extension of Direct Ghost Fluid Method and its application to the multi-fluid treatment in UNDEX flows; the enforcement of an improved non-reflecting boundary condition and its application to UNDEX simulations; and an improvement to the projection-based embedded boundary method and its application to fluid-structure interaction simulations of UNDEX problems.en
dc.description.abstractgeneralUnderwater explosions (UNDEX) and a ship's vulnerability to them are problems of interest in early-stage ship design. A series of events occur sequentially in an UNDEX scenario in both the fluid and structural domains and these events happen over a wide range of time and spatial scales. Because of the complexity of the physics involved, it is a common practice to separate the description of UNDEX into early-time and late-time, and far-field and near-field. The research described in this dissertation is focused on the simulation of near-field and early-time UNDEX. It assembles a hybrid framework of algorithms to provide results while maintaining computational efficiency. These algorithms include Runge-Kutta, Discontinuous Galerkin, Level Set, Direct Ghost Fluid and Embedded Boundary methods. Computational fluid dynamics (CFD) solvers are developed using this framework of algorithms to demonstrate these computational methods and their ability to effectively and efficiently solve UNDEX problems.en
dc.description.degreeDoctor of Philosophyen
dc.format.mediumETDen
dc.identifier.othervt_gsexam:32969en
dc.identifier.urihttp://hdl.handle.net/10919/108234en
dc.language.isoenen
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectUnderwater explosionen
dc.subjectFluid-structure interactionen
dc.subjectComputational fluid dynamicsen
dc.subjectDiscontinuous Galerkin methoden
dc.subjectLevel set methoden
dc.subjectDirect ghost fluid methoden
dc.subjectEmbedded boundary methoden
dc.subjectShock waveen
dc.subjectRarefaction waveen
dc.subjectExplosive gaseous bubbleen
dc.titleA Hybrid Framework of CFD Numerical Methods and its Application to the Simulation of Underwater Explosionsen
dc.typeDissertationen
thesis.degree.disciplineAerospace Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.nameDoctor of Philosophyen

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