In this article an arbitrary Lagrangian–Eulerian (ALE) formulation for modelling cavitation in elastohydrodynamic lubrication (EHL) is derived and applied to line contact geometry. The method is developed in order to locate the position of cavitation onset along the length of the contacting region which gives the transition from liquid to vapour in the fluid. The ALE is implemented by introduci...

Abstract This paper mainly studies the tension characteristics of cables in Cable-Driven Parallel Mechanisms (CDPMs). The exact catenary model and cable based on Arbitrary Lagrangian Eulerian description (ALE) are used. First, ALE used to analyze compare at each point a single cable, which proves calculation accuracy model. Then, described by is Mechanisms, end effector enabled do specific heli...

In end milling, cutting forces and residual stresses need to be precisely predicted in order to improve the quality of the workpiece. Numerical simulation has however not been very successful using the Lagrangian formulation in Finite Element Analysis. This is partly because there is no satisfactory and accurate separation criterion used in the modelling procedure. The results are found to be h...

We propose a numerical scheme to compute the motion of a two-dimensional rigid body in a viscous fluid. Our method combines the method of characteristics with a finite element approximation to solve an ALE formulation of the problem. We derive error estimates implying the convergence of the scheme. 1991 Mathematics Subject Classification. 35Q30, 65M12, 76D05, 76M10.

Abstract. This paper deals with the formulation of a numerical scheme for solving compressible flow past moving bodies. We use the discontinuos Galerkin finite element method for the space semi-discretization and the Euler backward formula for the time discretization. Moreover, we use ALE mapping for the treatment of a time depended domain and the linearization of inviscid terms using the Vijay...

This note revisits the derivation of the ALE form of the incompressible Navier-Stokes equations in order to retain insight into the nature of geometric conservation. It is shown that the flow equations can be written such that time derivatives of integrals over moving domains are avoided prior to discretisation. The geometric conservation law is introduced into the equations and the resulting f...