SOLVING TRANSIENT HEAT CONDUCTION PROBLEMS WITH CYCLIC SYMMETRY VIA A PARALLELED EFGM AND A PRECISE ALGORITHM

Abstract

This article combines a paralleled meshless element-free Galerkin method (EFGM) with a self-adaptive precise algorithm in the time domain for solving transient heat transfer problems with rotationally periodic symmetry. By expanding variables at a discretized time interval, the variations of variables can be described more precisely, and a coupled space/time domain problem with initial and boundary values can be converted into a series of linear recursive boundary-value problems, which are solved by a paralleled EFGM with higher computing efficiency. Numerical examples are given to illustrate the full advantages of the proposed algorithm in the context.