Element Free Galerkin Method For the Numerical Solution of 2-D Potential Flow Problems

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

کلیدواژه ها:

element free Galerkin method ، potential flow problems ، moving least squares interpolations ، Sensitivity analysis ، irregular distribution of nodal points