Three-dimensional front tracking

James Glimm; John W. Grove; Xiao Lin Li; Keh Ming Shyue; Yanni Zeng; Qiang Zhang

doi:10.1137/S1064827595293600

Three-dimensional front tracking

James Glimm
, John W. Grove
, Xiao Lin Li
, Keh Ming Shyue
, Yanni Zeng
, Qiang Zhang

Applied Mathematics and Statistics

Stony Brook University
National Taiwan University

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

329 Scopus citations

Abstract

We describe a three-dimensional front tracking algorithm, discuss its numerical implementation, and present studies to validate the correctness of this approach. Based on the results of the two-dimensional computations, we expect three-dimensional front tracking to significantly improve computational efficiencies for problems dominated by discontinuities. In some cases, for which the interface computations display considerable numerical sensitivity, we expect a greatly enhanced capability.

Original language	English
Pages (from-to)	703-727
Number of pages	25
Journal	SIAM Journal on Scientific Computing
Volume	19
Issue number	3
DOIs	https://doi.org/10.1137/S1064827595293600
State	Published - May 1998

Keywords

Front tracking
Nonmanifold geometry
Riemann problems

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10.1137/S1064827595293600

Cite this

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title = "Three-dimensional front tracking",

abstract = "We describe a three-dimensional front tracking algorithm, discuss its numerical implementation, and present studies to validate the correctness of this approach. Based on the results of the two-dimensional computations, we expect three-dimensional front tracking to significantly improve computational efficiencies for problems dominated by discontinuities. In some cases, for which the interface computations display considerable numerical sensitivity, we expect a greatly enhanced capability.",

keywords = "Front tracking, Nonmanifold geometry, Riemann problems",

author = "James Glimm and Grove, \{John W.\} and Li, \{Xiao Lin\} and Shyue, \{Keh Ming\} and Yanni Zeng and Qiang Zhang",

year = "1998",

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AU - Glimm, James

AU - Grove, John W.

AU - Li, Xiao Lin

AU - Shyue, Keh Ming

AU - Zeng, Yanni

AU - Zhang, Qiang

PY - 1998/5

Y1 - 1998/5

N2 - We describe a three-dimensional front tracking algorithm, discuss its numerical implementation, and present studies to validate the correctness of this approach. Based on the results of the two-dimensional computations, we expect three-dimensional front tracking to significantly improve computational efficiencies for problems dominated by discontinuities. In some cases, for which the interface computations display considerable numerical sensitivity, we expect a greatly enhanced capability.

AB - We describe a three-dimensional front tracking algorithm, discuss its numerical implementation, and present studies to validate the correctness of this approach. Based on the results of the two-dimensional computations, we expect three-dimensional front tracking to significantly improve computational efficiencies for problems dominated by discontinuities. In some cases, for which the interface computations display considerable numerical sensitivity, we expect a greatly enhanced capability.

KW - Front tracking

KW - Nonmanifold geometry

KW - Riemann problems

UR - https://www.scopus.com/pages/publications/0000693278

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DO - 10.1137/S1064827595293600

M3 - Article

AN - SCOPUS:0000693278

SN - 1064-8275

VL - 19

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EP - 727

JO - SIAM Journal on Scientific Computing

JF - SIAM Journal on Scientific Computing

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ER -

Three-dimensional front tracking

Abstract

Keywords

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