자료유형 | 학위논문 |
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서명/저자사항 | Conservative Front Tracking. |
개인저자 | She, Dan. |
단체저자명 | State University of New York at Stony Brook. Applied Mathematics and Statistics. |
발행사항 | [S.l.]: State University of New York at Stony Brook., 2019. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
형태사항 | 69 p. |
기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
ISBN | 9781687990259 |
학위논문주기 | Thesis (Ph.D.)--State University of New York at Stony Brook, 2019. |
일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Glimm, James |
이용제한사항 | This item must not be sold to any third party vendors. |
요약 | We develop and present a new conservative front tracking algorithm for three dimensional compressible fluid dynamics with two fluid components. Instead of using Cartesian grid cells, we construct irregular computational cells at each time step based on the intersections of the discontinuities between two fluid components and Cartesian grid cells. Mappings between irregular cells at different time steps are set by considering the velocity field calculated by front tracking method. Fluxes through irregular cell faces are calculated by the WENO scheme with the stencils set by ghost fluid method. With the original states, irregular cells and fluxes, we are able to solve the system of conservation laws. While keeping the advantages of classic front tracking method, we preserve conservation of the system.Results of numerical simulations are presented to show the correctness and improvements of the algorithm when compared with the non-conservative front tracking algorithm. |
일반주제명 | Applied mathematics. Computational physics. |
언어 | 영어 |
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