瞬态热传导问题的插值型复变量EFG方法

Complex Variable Interpolating Element-free Method for Transient Heat Conduction Problems

由插值型复变量MLS法的理论,根据瞬态热传导问题的伽辽金积分弱形式,推导了二维瞬态热传导的第一类边值问题的插值型CVEFG方法。为了证明此方法的有效性,分别对两个瞬态热传导的第一类边值问题通过使用插值型CVEFG方法进行了数值求解,并与解析解进行了比较,二者吻合较好,证明了插值型CVEFG方法的有效性。

Based on the theory of the complex variable interpolating MLS method and the weak form of Galerkin integral,the complex variable interpolating EFG method for two-dimensional transient heat conduction problem is deduced.In order to prove the effectiveness of this method,the complex variable interpolating EFG method is used to solve the first kind of boundary value problem of two transient heat conduction,and the results are in good agreement with the analytical solutions,which proves the validity of the complex variable interpolating EFG method.