Open AccessA semi-Eulerian method for treating Lagrangian sliding interfaces
Author(s) -
W.H. Lee
Publication year - 1996
Language(s) - English
Resource type - Reports
DOI - 10.2172/251413
Subject(s) - material point method , eulerian path , lagrangian , slip (aerodynamics) , point (geometry) , shear (geology) , mechanics , classical mechanics , point particle , computer science , physics , mathematics , mathematical analysis , geometry , engineering , geology , structural engineering , finite element method , petrology , thermodynamics
In many two-dimensional Lagrangian radiation hydrodynamic calculations, shear along material boundaries is a serious problem. Since the mesh is tied to the material, this shear will cause distortions in the mesh that make the calculations very difficult. The approach described in this paper adopts a semi-Eulerian calculation that allows material flow through a Lagrangian mesh along an interface. The basic idea is to consider each point along the slip line temporarily as a double point. One would then calculate the motion of each point separately and then pull the points back together using the automatic rezone method. This would allow the materials to shear along the interface. This paper will describe the method as used in a two-dimensional Lagrangian code. The formation of a shaped charge jet is computed using the present method, and the results are discussed with and without the slip treatment