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Asymptotically Preserving Method for Multiphase Flow

Title: An Asymptotically Preserving Method for Multiphase Flow.
Name(s): Jemison, Matthew, author
Sussman, Mark, professor directing thesis
Nof, Doron, university representative
Cogan, Nick, committee member
Gallivan, Kyle, committee member
Wang, Xiaoming, committee member
Department of Mathematics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2014
Publisher: Florida State University
Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: A unified, asymptotically-preserving method for simulating multiphase flows using an exactly mass, momentum, and energy conserving Cell-Integrated Semi-Lagrangian advection algorithm is presented. The new algorithm uses a semi-implicit pressure update scheme that asymptotically preserves the standard incompressible pressure projection method in the limit of infinite sound speed. The asymptotically preserving attribute makes the new method applicable to compressible and incompressible flows, including stiff materials, which enables large time steps characteristic of incompressible flow algorithms rather than the small time steps required by explicit methods. Shocks are captured and material discontinuities are tracked, without the aid of any approximate or exact Riemann solvers. The new method enables one to simulate the flow of multiple materials, each possessing a potentially exotic equation of state. Simulations of multiphase flow in one and two dimensions are presented which illustrate the effectiveness of the new algorithm at efficiently computing multiphase flows containing shock waves and material discontinuities with large ''impedance mismatch.'' Additionally, new techniques related to the Moment-of-Fluid interface reconstruction are presented, including a novel, asymptotically-preserving method for capturing ''filaments,'' and an improved method for initializing the Moment-of-Fluid optimization problem on unstructured, triangular grids.
Identifier: FSU_migr_etd-9012 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Summer Semester, 2014.
Date of Defense: June 3, 2014.
Keywords: Asymptotic methods, Interface reconstruction, Moment of Fuid, Multiphase flow
Bibliography Note: Includes bibliographical references.
Advisory Committee: Mark Sussman, Professor Directing Thesis; Doron Nof, University Representative; Nick Cogan, Committee Member; Kyle Gallivan, Committee Member; Xiaoming Wang, Committee Member.
Subject(s): Mathematics
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Host Institution: FSU

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Jemison, M. (2014). An Asymptotically Preserving Method for Multiphase Flow. Retrieved from