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020 ▼a 9781687990259
035 ▼a (MiAaPQ)AAI13882618
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 530
1001 ▼a She, Dan.
24510 ▼a Conservative Front Tracking.
260 ▼a [S.l.]: ▼b State University of New York at Stony Brook., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 69 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
500 ▼a Advisor: Glimm, James
5021 ▼a Thesis (Ph.D.)--State University of New York at Stony Brook, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a 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.
590 ▼a School code: 0771.
650 4 ▼a Applied mathematics.
650 4 ▼a Computational physics.
690 ▼a 0364
690 ▼a 0216
71020 ▼a State University of New York at Stony Brook. ▼b Applied Mathematics and Statistics.
7730 ▼t Dissertations Abstracts International ▼g 81-04B.
773 ▼t Dissertation Abstract International
790 ▼a 0771
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15491246 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1816162
991 ▼a E-BOOK