Detection of Lagrangian Coherent Structures in the SPH framework

The present work is dedicated to the detection of Lagrangian Coherent Structures (LCSs) in viscous flows through the Finite-Time Lyapunov Exponents (FTLEs) which have been addressed by several works in the recent literature. Here, a novel numerical technique is presented in the context of the Smooth...

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Veröffentlicht in:Computer methods in applied mechanics and engineering Jg. 305; S. 849 - 868
Hauptverfasser: Sun, P.N., Colagrossi, A., Marrone, S., Zhang, A.M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 15.06.2016
Elsevier
Schlagworte:
Algorithms
Bow waves
Breaking bow wave
Coherence
Computational fluid dynamics
Computer simulation
Engineering Sciences
Finite-Time Lyapunov Exponent
Fluids mechanics
Lagrangian Coherent Structures
Lyapunov exponents
Mathematical models
Mechanics
Smoothed Particle Hydrodynamics
Trajectories
Vortex visualization
Breaking bow wave
Finite-Time Lyapunov Exponent
Vortex visualization
Smoothed Particle Hydrodynamics
Lagrangian Coherent Structures
ISSN:0045-7825, 1879-2138
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Zusammenfassung:The present work is dedicated to the detection of Lagrangian Coherent Structures (LCSs) in viscous flows through the Finite-Time Lyapunov Exponents (FTLEs) which have been addressed by several works in the recent literature. Here, a novel numerical technique is presented in the context of the Smoothed Particle Hydrodynamics (SPH) models. Thanks to the Lagrangian character of SPH, the trajectory of each fluid particle is explicitly tracked over the whole simulation. This allows for a direct evaluation of the FTLE field supplying a new way for the data analysis of complex flows. The evaluation of FTLE can be either implemented as a post-processing or nested into the SPH scheme conveniently. In the numerical results, three test-cases are presented giving a proof of concept for different conditions. The last test-case regards a naval engineering problem for which the present algorithm is successfully used to capture the submerged vortical tunnels caused by the splashing bow wave. •Algorithms for the detection of Lagrangian Coherent Structures (LCSs) are presented.•Formulae for the Finite-Time Lyapunov Exponent (FTLE) are derived for SPH models.•The FTLE dependence on the use of enhanced SPH models is discussed.•Post-processing and nested in time implementations are discussed.•Some test-cases are considered giving a proof of concept for different conditions.
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2016.03.027