hal-00424018, version 1

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

Vincent Stéphane () ¹, Arthur Sarthou () ¹, Jean-Paul Caltagirone () ¹, Sonilhac Fabien ², Février Pierre ², Mignot Christian ², Pianet Grégoire ¹

(2009-10-13)

• 1:  Transferts, écoulements, fluides, énergétique (TREFLE)
• http://www.trefle.u-bordeaux1.fr/
  CNRS : UMR8508 – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB) – Arts et Métiers ParisTech Laboratoire TREFLE 16, av. Pey-Berland 33607 Pessac Cedex France
• 2:  Manufacture des pneus Michelin
• 
  Manufacture des pneus Michelin France

Available versions :  v1 (2009-10-13) v2 (2010-09-06)

Bibliographic reference

• Type of document: Documents without publication reference (Preprint)
• Subject:

  Computer Science/Modeling and Simulation

  Physics/Mechanics/Mechanics of the fluids

  Engineering Sciences/Mechanics/Fluids mechanics

  Physics/Physics/Computational Physics

  Mathematics/Numerical Analysis

• Title: 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
• Abstract: 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 multiphase 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 a two-dimensional collapse of a water column and on the three-dimensional settling of a particle in a tank. Finally, the 3AL method is utilized to simulate the hydroplaning of a tire under various pattern shape conditions.
• Fulltext language: English
• Production date: 2009-10-13
• Keyword(s): Fictitious domain – augmented Lagrangian – 1-fluid model – penalty method – Volume Of Fluid – patterned tire – hydroplaning flows

Attached file list to this document: 

• hal-00424018, version 1
• http://hal.archives-ouvertes.fr/hal-00424018
• oai:hal.archives-ouvertes.fr:hal-00424018
• From: Arthur Sarthou <>
• Submitted on: Tuesday, 13 October 2009 20:51:16
• Updated on: Tuesday, 13 October 2009 20:59:58