Mesh-free modeling of two-dimensional heat conduction between eccentric circular cylinders

Abstract

In this paper, a numerical investigation of heat conduction problem for an irregular geometry using mesh-free local radial basis function-based differential quadrature (RBF-DQ) method has been performed. This method is the combination of differential quadrature approximation of derivatives and function approximation of radial basis function. The method can be used to directly approximate the derivatives of dependent variables on a scattered set of knots. In this study, knots were distributed irregularly in the solution domain using the Halton sequences. The method is applied to a two-dimensional geometry consisting of two eccentric cylinders. The inner and outer walls are maintained at different temperatures and . The obtained results from numerical simulations are compared with those gained by finite volume (FV) method. Outcomes prove that current technique is in very good agreement with finite volume method and this is due to the fact that RBF-DQ method is an accurate and flexible method in solution of heat conduction problems. Key words: Mesh-free method, conduction, radial basis function, eccentric circular cylinders