Triangular Spectral Element simulation of two-dimensional elastic wave propagation using unstructured triangular grids

Triangular Spectral Element simulation of two-dimensional elastic wave propagation using unstructured triangular grids

S U M M A R Y A Triangular Spectral Element Method (TSEM) is presented to simulate elastic wave propagation using an unstructured triangulation of the physical domain. TSEM makes use of a variational formulation of elastodynamics based on unstructured straight-sided triangles that allow enhanced flexibility when dealing with complex geometries and velocity structures. The displacement field is ...

Transonic Turbulent Flow Computations on Unstructured Triangular Grids

Diffusion on unstructured triangular grids using Lattice Boltzmann

In this paper, we present a Lattice Boltzmann scheme for diffusion on unstructured triangular grids. In this formulation there is no need for interpolation, as is required in other LB schemes on irregular grids. At the end of the propagation step, the lattice gas particles arrive exactly at neighbouring lattice sites, as is the case in LB schemes on Bravais lattices. The scheme is constructed u...

A two dimensional Simulation of crack propagation using Adaptive Finite Element Analysis

Finite element method (FEM) is one of the most famous methods which has many applications in varies studies such as the study of crack propagation in engineering structures. However, unless extremely fine meshes are employed, problem arises in accurately modelling the singular stress field in the singular element area around the crack tip. In the present study, the crack growth simulation has b...

A p-multigrid spectral difference method with explicit and implicit smoothers on unstructured triangular grids

0045-7930/$ see front matter Published by Elsevier doi:10.1016/j.compfluid.2008.02.004 * Corresponding author. Present address: Departme nautics, Stanford University, 496 Durand Building, Lam United States. Tel.: +1 650 723 6021. E-mail address: [email protected] (C. Liang). The convergence of high-order methods, such as recently developed spectral difference (SD) method, can be accelerated ...