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۱Element Free Galerkin Method For the Numerical Solution of 2–D Potential Flow Problems
اطلاعات انتشار: هشتمین کنگره ملی مهندسی عمران، سال
تعداد صفحات: ۸
In recent years different types of the meshless methods are presented for solving many engineering problems that each of them has advantages and disadvantages. In most of the meshless methods, domain discretization leads to integral equations which solved using numerical integration. In this paper elementfree Galerkin (EFG) method is used to solve potential problems. These problems are independent of time and involve only space coordinate, as in Poisson’s equation or the Laplace equation with Dirichlet, Neumann or mixed conditions. When the problems are too complex, they usually cannot be solved withanalytical solutions. In EFG method the trial and test functions employed in the discretization processresult from moving least squares (MLS) interpolations. One of the validated examples of the proposed method is a Laplace equation with mixed boundary conditions on a rectangular domain and the sensitivity analysis on nodal and Gauss points is done for this example and the effect of irregularity is also investigated on the solution of the EFG method in this example. Flow over a cylinder is the other benchmark example that is considered with two different distributions of nodal points<\div>

۲Element Free Galerkin Method for the Numerical Solution of the Pure Convection Problems
اطلاعات انتشار: هشتمین کنگره ملی مهندسی عمران، سال
تعداد صفحات: ۸
In this paper, the Meshless method is introduced to the hydraulics. An element free Galerkin (EFG)method for simulation of two–dimensional shallow water flows is presented and its implementation is described. In this method only the nodal data which may be the same as those used in the finite elementmethods (FEMs) and a description of the domain boundary geometry are necessary; no element or grid connectivity is needed. In the EFG method the moving least squares (MLS) interpolations is used to construct the trial functions. The modelled domain is represented thorough the nodal points. A Galerkinmethod is applied to discretize the governing differential equations, resulting in a simultaneous equationsystem. An underlying cell structure for calculation of the integrals is used. The sensitivity analysis is proposed to determine the influence of the different parameters of the EFG method with solving moving cone problem. To verify the efficiency of the proposed method the shoaling problem is analyzed.<\div>
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