Weighted least-squares collocation method (WLSCM) for 3-D heat conduction problems in irregular domain

The collocation method is a truly meshless method and requires no background meshes, which has high computational efficiency. In this paper, the weighted least-squares collocation method (WLSCM) is adopted to compute 3-D heat conduction problems in irregular domains. Radial basis function (RBF) is selected to construct the approximation function. A 2-D case that has analytical solution is simulated by the proposed method and the outcomes verify that the present method can obtain desired accuracy, stability and efficiency. Furthermore, the method is applied to compute two 3-D cases of heat conduction problems in irregular complex domains in engineering. The results of the present method are in good agreement with those of FLUENT.