For simulation of numerical problems, meshless methods have emerged as an alternative to mesh based methods and become popular due to several reasons. Primarily, mesh generation is a difficult problem, Also these methods have generated promising results in the accuracy of the simulations. Similar to mesh generation problems, meshless methods also induce challenging geometric problems. Partition...

The lattice Boltzmann method (LBM) has two key steps: collision and streaming. In a conventional LBM, the streaming is exact, where each distribution function perfectly shifted to neighbor node on uniform mesh arrangement. This advantage may curtail applicability of problems with complex geometries. To overcome this issue, high-order meshless interpolation-based approach proposed handle step. O...

A finite strain gradient model for the 3D analysis of materials containing spherical voids is presented. two-scale approach proposed: a least-squares methodology RVE with quadratic displacements and full high-order continuum both fourth-order sixth-order elasticity tensors. meshless method adopted using radial basis function interpolation polynomial enrichment. Both first second derivatives res...

In this study, a cellular automaton (CA) is developed o combine the advantages of finite element method (FEM) and meshless method to analyze two-dimensional elastic problems. By the CA, a two-dimensional domain is discretized into a grid of nodes which are distributed randomly in the domain. For convenience, the nodes are classified into the FEM group and the meshless group. In the FEM zone tha...

this paper deals with the dynamic analysis of stress field in cylindrically layeredstructures reinforced by carbon nanotube (clsrcn) subjected to mechanical shock loading.application of meshless local integral equations based on meshless local petrov-galerkin(mlpg) method is developed for dynamic stress analysis in this article. analysis is carriedout in frequency domain by applying the laplace...

In this paper, coupled nonlinear Burgers’ equations are solved through a variety of meshless methods known as multiquadric quasi-interpolation scheme. In this scheme, the extension of univariate quasi-interpolation method is used to approximate the unknown functions and their spatial derivatives and the Taylor series expansion is used to discretize the temporal derivatives. The multiquadric qua...

In this paper, one of the simplest and most regular members of the family of the Meshless Local Petrov-Galerkin (MLPG) methods; namely MLPG5, is applied to analyze the thick-walled isotropic laminated cylinders under elasto-static pressure. A novel simple technique is proposed to eliminate a very important difficulty of the meshless methods to deal with material discontinuities regarding to the...

We present an exponentially convergent semi-implicit meshless algorithm for the solution of Navier-Stokes equations in complex domains. The discretizes partial derivatives at scattered points using radial basis functions (RBF) as interpolants. Higher-order polynomials are appended to polyharmonic splines (PHS-RBF) and a collocation method is used derive interpolation coefficients. interpolating...