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Status已发表Published
TitleFront tracking in two and three dimensions
Creator
Date Issued1998
Source PublicationComputers and Mathematics with Applications
ISSN0898-1221
Volume35Issue:7Pages:1-11
Abstract

Front tracking is a method for solving conservation laws in which the evolution of discontinuities is determined through the solution of Riemann problems. This method often does not require highly refined grids, and it has no numerical diffusion. We show the success of this method through a comparison of simulations of the Richtmyer-Meshkov instability, an unstable material interface, with experimental data. Good simulations of such instabilities are notoriously difficult, and we also demonstrate for the same physical problem that grid orientations have no effect on the numerical solution. We also present the first results of our three-dimensional front tracking code by simulating an important aspect of the computer chip manufacturing process: material deposition and etching. Our two- and three-dimensional front tracking code is parallelized for MIMD architectures and runs on our 128 node Intel Paragon.

KeywordDeposition and etching processes Front tracking Richtmyer-Meshkov instability Riemann problems
DOI10.1016/S0898-1221(98)00028-5
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000072639000002
Original Document TypeArticle
Citation statistics
Cited Times:66[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/2240
CollectionResearch outside affiliated institution
Corresponding AuthorGlimm, James G.
Affiliation
Dept. of Appl. Math. and Statistics, Stt. Univ. New York at Stony Brook, Stony Brook, NY 11794-3600, United States
Recommended Citation
GB/T 7714
Glimm, James G.,Graham, Mary Jane,Grove, John W.et al. Front tracking in two and three dimensions[J]. Computers and Mathematics with Applications, 1998, 35(7): 1-11.
APA Glimm, James G., Graham, Mary Jane., Grove, John W., Li, Xiaolin., Smith, T. M., .. & Zhang, Qiang. (1998). Front tracking in two and three dimensions. Computers and Mathematics with Applications, 35(7), 1-11.
MLA Glimm, James G.,et al."Front tracking in two and three dimensions". Computers and Mathematics with Applications 35.7(1998): 1-11.
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