Abstract

In this article, a Laguerre-based finite-element method (LBFEM) combined with domain decomposition is proposed for large-scale transient thermal simulation. The unconditionally stable marching-on-in-order scheme is obtained using the weighted Laguerre polynomials and Galerkin testing procedure to eliminate the time variable of the temperature field. An effective data filtering method is utilized to reduce the number of basis functions and improve the efficiency of simulation. To handle the large-scale problems, a domain decomposition scheme named finite element tearing and interconnecting (FETI) is applied. The entire computational domain can be divided into a series of small-scale subdomains to reduce the computational resources. Numerical results are presented to demonstrate the accuracy and efficiency of the proposed method.

摘要

在本文中，提出了一种结合域分解的基于 Laguerre 的有限元方法 (LBFEM)，用于大规模瞬态热模拟。利用加权拉盖尔多项式和伽辽金检验程序消除温度场的时间变量，得到无条件稳定的按序前进方案。利用有效的数据过滤方法减少了基函数的数量，提高了仿真效率。为了处理大规模问题，应用了一种名为有限元撕裂和互连 (FETI) 的域分解方案。可以将整个计算域划分为一系列小规模的子域，以减少计算资源。数值结果证明了所提出方法的准确性和效率。