1 In the present study, we applied a novel mesh-free method to solve acoustic wave equation. 2 Although the conventional finite difference methods determine the coefficients of its operator 3 based on the regular grid alignment, the mesh-free method is not restricted to regular 4 arrangements of calculation points. We derive the mesh-free approach using the 5 multivariable Taylor expansion. The...

In this paper, the applications of mesh-free SPH (Smoothed Particle Hydrodynamics) methodology to the simulation and analysis of 3-D hard machining process is presented. A Langrangian SPH based model is carried out using the Ls-Dyna software. Classical Lagrangian, Eulerian and ALE methods such as finite element methods (FEM) cannot resolve the large distortions very well. Conventional finite el...

This presentation will highlight the computational techniques we are developing for simulating incompressible free-surface flows using the Spectral Element Method (SEM) [9, 10]. These techniques include the arbitrary Lagrangian-Eulerian (ALE) formulation [2,3,5,11], mesh update and re-meshing methods [4, 7]. A brief introduction will be devoted to recalling the physical problem and its Navier-S...

Mesh networks have been applied to build large scale multicomputer systems and Network-on-Chips (NoCs) extensively. Mesh networks perform poorly in tolerating faults in the view of worst-case analysis, so it is practically important for multicomputer systems and NoCs manufactures to determine that how much success probability to construct a fault-free path between two non-faulty nodes for the m...

We consider problems involving high-speed moving rigid objects in a fluid flow. Instead of a more traditional deformable mesh approach, we describe a novel fixed mesh approach which use a level set function to implicitly track the fluid-solid interface, therefore no mesh motion or modification is required. The interface boundary conditions are also captured implicitly by combining a Ghost Fluid...

Multi-layered stacks are commonly used in microelectronic packaging. Traditionally, these systems are designed using linear-elastic analysis either with analytical solutions or finite element method. Linear-elastic analysis for layered structures yields very conservative results due to stress singularity at the free edge. In this paper, it is shown that a damage mechanics based nonlinear analys...

Numerical issues arising in computations of viscous flows in corners formed by a liquidfluid free surface and a solid boundary are considered. It is shown that on the solid a Dirichlet boundary condition, which removes multivaluedness of velocity in the ‘moving contact-line problem’ and gives rise to a logarithmic singularity of pressure, requires a certain modification of the standard finite-e...

The use of boundary-conforming finite-element methods is considered for the solution of surface-tensiondominated free-surface flow problems in three dimensions. This class of method is based upon the use of a moving mesh whose velocity is driven by the motion of the free surface, which is in turn determined via a kinematic boundary condition for the normal velocity. The significance of the meth...

We describe a method for discretizing planar C2-regular domains immersed in nonconforming triangulations. The method consists in constructing mappings from triangles in a background mesh to curvilinear ones that conform exactly to the immersed domain. Constructing such a map relies on a novel way of parameterizing the immersed boundary over a collection of nearby edges with its closest point pr...