Arbitrary<scp>L</scp>agrangian–<scp>E</scp>ulerian Methods

Donéa, J.; Huerta, Antonio; Ponthot, Jean‐Philippe; Ferran, Antonio Rodríguez

doi:10.1002/9781119176817.ecm2009

Cited by 200 publications

(164 citation statements)

References 110 publications

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“…accounts for surface forces, which may be present, such as drag or friction. The gradient along the surface, ∇ S , can be expressed in terms of ∇ τ , using the transformation matrix [T] that accounts for the change in path length along each coordinate akin to the arbitrary Lagrangian-Eulerian method (Donea et al 2004),…”

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confidence: 99%

A novel model of third phase inclusions on two phase boundaries

Prudil

Welland

2017

Mater Theory

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A new computationally efficient model of an included phase located at the interface between two other phases is developed by projecting the boundaries of the inclusion onto the boundary between the two other phases. This reduces the 3D problem to one on a 2D surface while still being embedded in 3D space, which significantly reduces computational expense of solving the system. The resulting model is similar to conventional phase-field models. The properties of the solution are examined, compared to classical theory, and the numerical behaviour, including a mesh sensitivity analysis, are discussed. The model accurately captures mesoscale effects, such as the Gibbs-Thompson effect, coarsening, and coalescence. An example application of the model simulating the evolution of grain boundary porosity in nuclear fuel is shown on a representative tetrakaidecahedron-shaped fuel grain.

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confidence: 99%

A novel model of third phase inclusions on two phase boundaries

Prudil

Welland

2017

Mater Theory

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“…In many cases, the mesh can adapt to the shape of the domain by using Lagrangian formulations [17] which take into account large displacements and geometric non-linearities, or Arbitrary Lagrangian-Eulerian (ALE) formulations [38]. In most solid dynamics problems and even in fluid-structure interaction problems where the solid body is subject to large deformations but still has an anchor point [62], the simulation can be approached using these methods.…”

Section: Introductionmentioning

confidence: 99%

An adaptive Fixed-Mesh ALE method for free surface flows

Baiges

Codina

Pont

et al. 2017

Computer Methods in Applied Mechanics and Engineering

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In this work we present a Fixed-Mesh ALE method for the numerical simulation of free surface flows capable of using an adaptive finite element mesh covering a background domain. This mesh is successively refined and unrefined at each time step in order to focus the computational effort on the spatial regions where it is required. Some of the main ingredients of the formulation are the use of an Arbitrary-Lagrangian-Eulerian formulation for computing temporal derivatives, the use of stabilization terms for stabilizing convection, stabilizing the lack of compatibility between velocity and pressure interpolation spaces, and stabilizing the ill-conditioning introduced by the cuts on the background finite element mesh, and the coupling of the algorithm with an adaptive mesh refinement procedure suitable for running on distributed memory environments. Algorithmic steps for the projection between meshes are presented together with the algebraic fractional step approach used for improving the condition number of the linear systems to be solved. The method is tested in several numerical examples. The expected convergence rates both in space and time are observed. Smooth solution fields for both velocity and pressure are obtained (as a result of the contribution of the stabilization terms). Finally, a good agreement between the numerical results and the reference experimental data is obtained.

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“…The solid (the golf head and air guide) was mathematically modeled using classical Lagrangian formulations, and the fluid (air) was modeled using an arbitrary Lagrangian-Eulerian (ALE) [5] formulation of the NavierStokes equations.…”

Section: Fluid-structure Interaction Introductionmentioning

confidence: 99%

Fluid–Structure Interaction Analysis of Number 3 Wood Golf Club with Air Guide

Y.D¹,

J.S²

2017

IJET

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Abstract-A fluid-structure interaction (FSI) analysis of a no. 3 wood golf club was performed to predict and compensate the downward aerodynamic force that occurs as a result of the club head face's loft angle. In a previous study, we performed an FSI analysis of a no. 1 wood club, wherein most of the deflection induced by aerodynamic forces was eliminated by attaching a flat air guide to the no. 1 wood. In order to eliminate the remaining effect of the aerodynamic forces almost completely, an appropriate modification in the design of the air guide is necessary. A modified air guide was attached to the no. 3 wood club in this study to determine how to increase the performance of the air guide. The golf club's sole deflection could be predicted with respect to certain quantities such as the aerodynamic force and stiffness of the wood head. The stiffness of the shaft was determined using several experiments. The aerodynamic force was obtained using the FSI analysis. We attempted to minimize the deflection induced by the imbalance of the aerodynamic forces, thus allowing a golfer to expect a more consistent and wellbalanced shot.

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ArbitraryLagrangian–Eulerian Methods

Cited by 200 publications

References 110 publications

A novel model of third phase inclusions on two phase boundaries

A novel model of third phase inclusions on two phase boundaries

An adaptive Fixed-Mesh ALE method for free surface flows

Fluid–Structure Interaction Analysis of Number 3 Wood Golf Club with Air Guide

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