Three-dimensional front tracking

Three-dimensional front tracking

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 computationa...

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Veröffentlicht in:SIAM journal on scientific computing 1998-05, Vol.19 (3), p.703-727
Hauptverfasser: GLIMM, J, GROVE, J. W, XIAO LIN LI, SHYUE, K.-M, YANNI ZENG, QIANG ZHANG
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Applied mathematics
Communication
Exact sciences and technology
Gases
Geometry
Interfaces
Laboratories
Mathematical analysis
Mathematics
Methods
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Phase transitions
Propagation
Sciences and techniques of general use
Simulation
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Beschreibung
Zusammenfassung: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.
ISSN:1064-8275
1095-7197
DOI:10.1137/S1064827595293600