Semi-Lagrangian advection-propagation (SLAP) scheme for three-dimensional interface tracking

Authors:
R. C. Aldredge
Affiliations:
Mechanical and Aeronautical Engineering, University of California, Davis, CA 95616-5294, USA
Venue:
Journal of Computational Physics
Year:
2010

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Abstract

A fully three-dimensional semi-Lagrangian scheme is developed for computing the evolution of advected self-propagating surfaces (e.g., premixed flames) governed by a level-set advection-propagation equation. The scheme provides third-order spatial accuracy and shape preservation. Example numerical simulations of three-dimensional front propagation are presented to illustrate the capability of the scheme of capturing cusp formation and associated surface-area annihilation as well as the formation and consumption of detached closed-surface pockets behind fronts propagating in highly vortical flow.