We test the efficacy of using a single Lagrangian point to represent a sphere, and a one-dimensional array of such points to represent a slender body, in a new immersed boundary method for Stokes flow. A numerical parameter, the spacing of the Eulerian grid, is used to determine the effective radius of the immersed sphere or slender body. Such representations are much less expensive computation...

on account of some complexities such as fluid-structure interaction and extra-large deformation problems, complete simulation of abrasive water jet cutting process is very hard. the main goal of this paper is to overcome these difficulties through comprehensive simulation in ls-dyna commercial software. for this purpose the smoothed particle hydrodynamics (sph) and arbitrary lagrangian eulerian...

In this paper, an arbitrary Lagrangian Eulerian (ALE) based numerical method has been presented for the numerical simulation of gas-particle two phase flow with moving boundaries. The main stages for the implementation of the algorithm have been discussed. The numerical results of cylindrical implosion and 2D dusty gas explosion have shown the effectiveness of the method.

In this work, we present a Fully Eulerian framework for fluid-structure interaction (fsi) problems coupling the incompressible Navier-Stokes equations with a hyperelastic solid. The Fully Eulerian framework is a monolithic implicit variational formulation for the coupled problem. In contrast to the well-established Arbitrary Lagrangian Eulerian (ALE) coordinates, the Fully Eulerian framework fo...

We consider an arbitrary-Lagrangian-Eulerian evolving surface finite element method for the numerical approximation of advection and diffusion of a conserved scalar quantity on a moving surface. We describe the method, prove optimal order error bounds and present numerical simulations that agree with the theoretical results.

A 2D Finite Element Model (F.E.M.) of chip formation process, set up with an Arbitrary Lagrangian Eulerian (A.L.E.) formulation, proposed in the software Abaqus/Explicit TM v6.3, is shown. The experimental validation showed a good qualitative agreement. Thus, FEM of cutting process can be considered as a promising and reliable tool for machining development within the near future.

A new optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary Lagrangian–Eulerian hydro methods is described. Fluxes of conserved variables – mass and momentum – are limited in a synchronous way to preserve local bounds of primitive variables – density and velocity. Published by Elsevier Inc.

We propose a new Eulerian-Lagrangian (EL) discontinuous Galerkin (DG) method formulated by introducing modified adjoint problem for the test function and performing integration of PDE over space-time region partitioned time-dependent linear functions approximating characteristics. The error incurred in characteristics approximation can then be taken into account flux term, integrated method-of-...