Numerical simulation of two-phase flow with imbedded interface of discontinuity is challenging in two major aspects. First, the interface can undergo change, merge and breakup during the course of the simulation. Examples of current successful methods in modeling flow with interface are, among others, the volume-of-fluid method, fronttracking method, and level-set method. Second, flow variables...

This paper presents a treatment of first–order discontinuities (D1) that arise in discontinuitymeshes. An algorithm is described that, given a planar D1 discontinuity surface in a polyhedral scene, computes the corresponding discontinuity curves on the faces of the scene. A method is described to efficiently update the backprojection across a D1 discontinuity curve. An alternative update method...

In a recent paper Elvin and Leung [1] demonstrated the advantages of a new fast boundary element algorithm for solving closed crack problems. This algorithm uses the Displacement Discontinuity Method (DDM) and subdivides the problem into two sub-problems, one for the outer boundaries of the structure and one for the crack. In common with most methods for crack problems, it uses interface-or joi...

A new approach for analyzing cracked problems in 2D orthotropic materials using the well-known element free Galerkin method and orthotropic enrichment functions is proposed. The element free Galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. In this study, element free Galerkin is extrinsically enriched by the recently developed crack-tip orthot...