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A Fast Semi-Lagrangian Contouring Method for Moving Interfaces

✍ Scribed by John Strain

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 303 KB
Volume: 170
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2001.6740

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✦ Synopsis

General moving-interface problems are solved by a new approach: evaluating an explicit semi-Lagrangian advection formula with efficient geometric algorithms and extracting the moving interface with a fast new contouring technique. The new approach decouples spatial and temporal resolutions, and grid-free adaptive refinement of the interface increases accuracy dramatically. A modular implementation, with a fast new intrinsic geometry module, computes highly accurate solutions to geometric moving-interface problems involving merging, anisotropy, and faceting; with a highorder embedded geometry module, it solves second-order problems involving curvature, dynamic topology, and nonlocal interactions.

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