A conservative front tracking method in N-dimensions

Jinjie Liu; Hyun Kyung Lim; James Glimm; Xiaolin Li

doi:10.1007/s10915-006-9117-5

A conservative front tracking method in N-dimensions

Applied Mathematics and Statistics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We propose a fully conservative Front Tracking algorithm for systems of nonlinear conservation laws. The algorithm can be applied uniformly in one, two, three and N dimensions. Implementation details for this algorithm and tests of fully conservative simulations are reported.

Original language	English
Pages (from-to)	213-236
Number of pages	24
Journal	Journal of Scientific Computing
Volume	31
Issue number	1-2
DOIs	https://doi.org/10.1007/s10915-006-9117-5
State	Published - Jun 2007

Keywords

Conservation
Discontinuity
Front tracking

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10.1007/s10915-006-9117-5

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title = "A conservative front tracking method in N-dimensions",

abstract = "We propose a fully conservative Front Tracking algorithm for systems of nonlinear conservation laws. The algorithm can be applied uniformly in one, two, three and N dimensions. Implementation details for this algorithm and tests of fully conservative simulations are reported.",

keywords = "Conservation, Discontinuity, Front tracking",

author = "Jinjie Liu and Lim, \{Hyun Kyung\} and James Glimm and Xiaolin Li",

year = "2007",

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volume = "31",

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T1 - A conservative front tracking method in N-dimensions

AU - Liu, Jinjie

AU - Lim, Hyun Kyung

AU - Glimm, James

AU - Li, Xiaolin

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N2 - We propose a fully conservative Front Tracking algorithm for systems of nonlinear conservation laws. The algorithm can be applied uniformly in one, two, three and N dimensions. Implementation details for this algorithm and tests of fully conservative simulations are reported.

AB - We propose a fully conservative Front Tracking algorithm for systems of nonlinear conservation laws. The algorithm can be applied uniformly in one, two, three and N dimensions. Implementation details for this algorithm and tests of fully conservative simulations are reported.

KW - Conservation

KW - Discontinuity

KW - Front tracking

UR - https://www.scopus.com/pages/publications/34247341293

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DO - 10.1007/s10915-006-9117-5

M3 - Article

AN - SCOPUS:34247341293

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VL - 31

SP - 213

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JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

IS - 1-2

ER -

A conservative front tracking method in N-dimensions

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Keywords

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