Fast free-surface detection and level-set function definition in SPH solvers

The present paper proposes a novel algorithm to detect the free-surface in particle simulations, both in two and three dimensions. Since the proposed algorithms are based on SPH interpolations their implementation does not require complex geometrical procedures. Thus the free-surface detection can b...

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Bibliographic Details
Published in:Journal of computational physics 2010-05, Vol.229 (10), p.3652-3663
Main Authors: Marrone, S., Colagrossi, A., Le Touzé, D., Graziani, G.
Format: Article
Language:English
Subjects:
Algorithms
Computational techniques
Computer simulation
Engineering Sciences
Exact sciences and technology
Flow visualization
Fluid-structure impact flows
Fluids mechanics
Free-surface flows
Interpolation
Level-set function
Mathematical analysis
Mathematical methods in physics
Mathematical models
Mechanics
Physics
Smoothed particle hydrodynamics
Solvers
Three dimensional
Vectors (mathematics)
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Summary:The present paper proposes a novel algorithm to detect the free-surface in particle simulations, both in two and three dimensions. Since the proposed algorithms are based on SPH interpolations their implementation does not require complex geometrical procedures. Thus the free-surface detection can be easily embedded in SPH solvers, without a significant increase of the CPU time. Throughout this procedure accurate normal vectors to the free-surface are made available. Then it is possible to define a level-set function algorithm which is presented in detail. The latter allows in-depth analyses of three-dimensional free-surface simulations by using standard visualization tools, including internal features of the flow. The algorithms proposed for detecting free-surface particles and defining the level-set function are validated on simple and complex two- and three-dimensional flow simulations. The usefulness of the proposed procedures to post-process and analyze complex flows are illustrated on realistic examples.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2010.01.019