Author(s)

J. Perko, C.S. Chen, B. Šarler

Abstract

A polygon-free numerical solution of steady natural convection in solid-liquid systems 2 r& ri __ 1___1 J. Perko', C.S. Chen , B. Sarler Laboratory for Fluid Dynamics and Thermodynamics, Faculty of Mechanical Engineering, University of Ljubljana, Slovenia j Department of Mathematical Sciences, University of Nevada, USA Abstract This paper describes a primitive variable formulated and Kansa's method solved free boundary problem arising in the steady natural convection of the incompressible Newtonian solid-liquid phase change material. Solution of the coupled mass, momentum, and energy equations in two-dimensions is solved by using global multiquadrics approximation of the fields and global cubic spline approximation of the boundary geometry. 1 Introduction Various aspects of science and technology are nowadays related to modelling of the solid-liquid phase change systems. A broad spectra of discrete ap- proximative methods have been used in the past decades to ev

Keywords