This paper is the second part of a threefold article, aimed at solving numerically the Poisson problem in three-dimensional prismatic or axisymmetric domains. In the first part of this series, the Fourier Singular Complement Method was introduced and analysed, in prismatic domains. In this second part, the FSCM is studied in axisymmetric domains with conical vertices, whereas, in the third part...

Impact modelling for shot peening or peen forming has progressed from simulating a single impact (or local multiple impacts) to simulating a large number of multiple impacts. It is the aim of this paper to provide quantitative results with a detailed finite element study, and to compare the effects of a single impact and global multiple impacts. Using a two-dimensional (2D) axisymmetric single ...

Abstract The multiscale stochastic simulation method based on the marriage of Brownian Configuration Field (BCF) and Radial Basis Function mesh-free approximation for dilute fibre suspensions by our group, is further developed to simulate non-dilute suspensions. For present approach, macro micro processes proceeded at each time step are linked other a contributed stress formula associated with ...

Azimuthal magnetorotational instability is a mechanism that generates nonaxisymmetric field pattern. Nonlinear simulations in an infinite Taylor-Couette system with current-free external field show, that not only the linearly unstable mode m = 1 appears, but also an inverse cascade transporting energy into the axisymmetric field is possible. By varying the Reynolds number of the flow and the Ha...

A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the...

in this paper, direct numerical simulation of two-phase incompressible gas-liquid flow for simulation of bubble motion in a microtube is presented. microtube radius is 10 µm. the interface is tracked using volume of fluid (vof) method with continuous surface force (csf) model. the flow is solved using a finite volume scheme, based on piso algorithm. numerical simulation is performed on a axisym...

Mesh redistribution methods provide meshes with increased resolution in particular regions of interest, while requiring that the connectivity of the mesh remains fixed. Some state of the art methods attempt to explicitly prescribe both the local cell size and their alignment to features of the solution. However, the resulting problem is overdetermined, necessitating a compromise between these c...

We present a novel mesh-free scheme for solving partial differential equations. We first derive a conservative and stable formulation of mesh-free first derivatives. We then show that this formulation is a special case of a general conservative mesh-free framework that allows flexible choices of flux schemes. Necessary conditions and algorithms for calculating the coefficients for our mesh-free...

Existing physically based deformation techniques, such as the finite element method (FEM) and the mass-spring systems (MSS), require the deformed object to be properly meshed. This is arguably the most expensive manual intervention process. In this paper, we propose a mesh-free deformation technique where only unconnected points are involved. The idea is to develop an approximate analytical sol...