Abstract

In this article, two model order reduction (MOR) methods of Krylov subspace and Laguerre orthogonal polynomials were employed to the numerical simulation of heat transfer characteristics of ground heat exchangers and surrounding ground. The results show that the relative errors between the direct solution and two MOR methods are less than 0.1% under more than certain orders. Considering both the relative errors and time consumptions, for two MOR methods, it is workable to take about 1% of the original system order as the reduced system order. The larger the nodes of space and time, the more obvious the efficiency of two MOR methods.

中文翻译：

---

基于二阶模型降阶法的垂直埋管内外传热数值模拟

摘要

本文采用Krylov子空间和Laguerre正交多项式的两种模型降阶（MOR）方法对地面换热器和周围地面的传热特性进行了数值模拟。结果表明，在一定阶以上的情况下，直接解与两种MOR方法之间的相对误差均小于0.1％。考虑到相对误差和时间消耗，对于两种MOR方法，将原始系统订单的大约1％作为简化的系统订单是可行的。空间和时间的节点越大，两种MOR方法的效率越明显。