Topological aspects of MESHLESS element free Galerkian method (EFGM) as the nodal connectivity of matrices are studied. Four different graphs are defined for MESHLESS DISCRETIZATIONs of EFGM and their connectivity is investigated. Graphs are used for nodal ordering of MESHLESS models in order to reduce the bandwidth, profile, maximum front width, and root-mean-square wave front of the corresponding matrices.      

AbstractOne of the MESHLESS methods is Discrete Least Squares MESHLESS (DLSM) method in which, the nodal points are used for estimating the shape functions and DISCRETIZATION of equations. Collocation Discrete Least Squares MESHLESS (CDLSM) method is formed by adding points as collocation points which are used in DISCRETIZATION of equations. In this research, Radial Point Interpolation Method (RPIM) has been used to estimate the shape functions in solving governing equations of two-dimensional non Newtonian fluid. Herscel-Bulkley model is used to simulate rheological behavior of fluid. Verification tests are achieved by three experimental bebch marks such as flow between two parallel plates, lid driven square cavity and lid-driven arc-shape cavity for Re=100. Mean square error (MSE) is determined between the numerical and experimental results and conducted to 7.1×〖10〗^(-5), 1.3×〖10〗^(-6), 1.6×〖10〗^(-6) for the three mentioned problems, respectively. The computational time consumed for simulating the lid driven square cavity problem was 1000 seconds, respectively. Also, solving lid-driven arc-shape cavity problem for each iteration took 0.65 seconds, respectively.

In this paper, dynamic modeling of flexible links manipulators is discussed. The modeling approach is based on the Lagrange equations and finite element DISCRETIZATION method. In order to obtain the closed form of dynamic equations for flexible links manipulators, symbolic calculation in MATLAB's symbolic mathematics toolbox is utilized, then the non-linear dynamic equations of a single-link manipulator have been obtained and compared with the results presented in other references. In this study, the nonlinear effects of centrifugal, Coriolis and gravity are Also considered which is rarely studied in other contributions. Then the equations of motion are solved by the Runge-Kutta method for different levels of excitation torque. The simulation results show that at low levels of excitation torque, the linear and non-linear models have the same results, while with the increase of the excitation level, the difference between the linear and non-linear models is considerable and the size of the elastic components in the non-linear model becomes smaller.

Carpet patterns are in two categories: machine-painted and hand-painted. Hand-painted patterns are divided into two groups: before and after DISCRETIZATION. The purpose of this study is color reduction of hand-painted patterns before DISCRETIZATION. There are some articles about color reduction of hand-painted carpet patterns after DISCRETIZATION, but so far, there is not an article on patterns before DISCRETIZATION. The proposed algorithm consists of the following steps: image segmentation, finding the color of each region, color reduction around the edges and final color reduction with C-means. For 80 segments of different 20 patterns, the algorithm has an approximate of 96% accuracy. In other words, the colors of 96% of image pixels are found correctly. The high accuracy of this method is due to its fitness to the application. The proposed method is not fully automatic and requires the total number of colors as its input.

in this paper a finite volume scheme is used to discretize flow in prous media. A numerical method for treating advection-dominated contaminant transport for flow of groundwater is described. This method combines the advantages of numerical DISCRETIZATION and finite volume method. The equations are discretized using a finite volume approach. The resulting nonlinear differential system is integrated in time using a solver. The conservation of energy equation is solved using a special method for reducing the oscillations induced by the standard finite volume method. Consequently, a mathematical model for multi-component flow transport in an anisotropic media is presented which couples the equations for multi-component diffusion and Darcys law for flow in aporous medium. Furthermore application of an integrated matlab system in several studies has been provided. The integrated matlab is based on open data formats and standards and may be used for many other application areas, especially where modeling in 2D and 3D is involved. Numerical simulations are performed to validate the model and investigate the effect. The final purpose of this paper is to discuss and compare the differences between the finite volume scheme for uniform and unstructured grids, which is shown to be less than 0.2 percent.

Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research on numerical methods for all types of these equations such as solving by DISCRETIZATION which includes numerical integration. In this paper, the Neumann problem is reformulated to a BIE, and then moving least squares as a MESHLESS method is described for solving this integral equation. Error analysis of this method is discussed and then its application and accuracy are illustrated by some case studies.