Thermal solution of cylindrical composite systems using meshless method

This paper presents the thermal solution of cylindrical composite systems using meshless element free Galerkin (EFG) method. The EFG method utilizes the moving least square approximants, which are constructed by using a weight function, a basis function and a set of non-constant coefficients to approximate the unknown function of temperature. Dirichlet (essential) boundary conditions have been enforced using Lagrange multiplier and penalty methods. Existing rational weight function has been modified and used in the present analysis. MATLAB codes have been developed to obtain the numerical solution. The EFG results have been obtained using cubicspline, quarticspline, Gaussian, quadratic, hyperbolic, exponential, rational and cosine weight functions for a model problem. The results obtained using different EFG weight functions are also compared with those obtained by finite element method. The effect of scaling and penalty parameters has also been studied in detail.