Augmented Lagrangian and penalty methods for the simulation of two-phase flows interacting with moving solids. Application to hydroplaning flows interacting with real tire tread patterns

Autor: Grégoire Pianet, Jean-Paul Caltagirone, Arthur Sarthou, Pierre Février, Stéphane Vincent, Fabien Sonilhac, Christian Mignot
Přispěvatelé: Transferts, écoulements, fluides, énergétique (TREFLE), Université Sciences et Technologies - Bordeaux 1-École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB)-Centre National de la Recherche Scientifique (CNRS), Manufacture des pneus Michelin, Société Michelin
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Fictitious domain
Physics and Astronomy (miscellaneous)
Discretization
patterned tire
1-fluid model
augmented Lagrangian
02 engineering and technology
01 natural sciences
010305 fluids & plasmas
[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
[PHYS.PHYS.PHYS-COMP-PH]Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph]
0203 mechanical engineering
0103 physical sciences
Volume of fluid method
Penalty method
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
Physics
Numerical Analysis
Natural convection
Computer simulation
penalty method
Augmented Lagrangian method
Applied Mathematics
Mechanics
hydroplaning flows
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Volume Of Fluid
Computer Science Applications
Computational Mathematics
020303 mechanical engineering & transports
Classical mechanics
Flow (mathematics)
Modeling and Simulation
Tread
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Zdroj: Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2011, 230 (4), pp.956-983. ⟨10.1016/j.jcp.2010.10.006⟩
ISSN: 0021-9991
1090-2716
DOI: 10.1016/j.jcp.2010.10.006⟩
Popis: The numerical simulation of the interaction between a free surface flow and a moving obstacle is considered for the analysis of hydroplaning flows. A new augmented Lagrangian method, coupled to fictitious domains and penalty methods, is proposed for the simulation of multi-phase flows. The augmented Lagrangian parameter is estimated by an automatic analysis of the discretization matrix resulting from the approximation of the momentum equations. The algebraic automatic augmented Lagrangian 3AL approach is validated on the natural convection in a differentially heated cavity, a two-dimensional collapse of a water column, the three-dimensional settling of a particle in a tank and the falling of a dense cylinder in air. Finally, the 3AL method is utilized to simulate the hydroplaning of a tire under various pattern shape conditions.
Databáze: OpenAIRE
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