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 present a new reconnection-based Arbitrary Lagrangian Eulerian (ALE) method. The main elements in a standard ALE simulation are an explicit Lagrangian phase in which the solution and grid are updated, a rezoning phase in which a new grid is defined, and a remapping phase in which the Lagrangian solution is transferred (conservatively interpolated) onto the new grid. In standard ALE methods t...

Lagrangian codes with mesh moving with the fluid suffer in many cases by mesh distortion leading to tangled mesh which in principle stops the computation as basic assumptions of the numerical method as e.g. positive volume of cells are not valid any more. Arbitrary LagrangianEulerian (ALE) method overcomes this difficulty by untangling or smoothing the mesh and conservative remapping of conserv...

Title of dissertation: CAPTURING MICRO-EMULSIONS AND MICRO-FOAMS WITH THE ARBITRARY LAGRANGIAN EULERIAN METHOD Andrew Brandon, Doctor of Philosophy, 2015 Dissertation directed by: Professor Konstantina Trivisa Department of Mathematics The goal of this work is to develop a 2D, heterogenous model for the purpose of studying liquid drainage from micro-foams and micro-emulsions. Liquid drainage wi...