A novel space-time generalized FDM for transient heat conduction problems

被引：25

作者：

Lei, Jun ^{[1
]}

Wang, Qin ^{[1
]}

Liu, Xia ^{[1
]}

Gu, Yan ^{[2
]}

Fan, Chia-Ming ^{[3
,4
]}

机构：

[1] Beijing Univ Technol, Dept Engn Mech, Beijing 100124, Peoples R China

[2] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

[3] Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung 20224, Taiwan

[4] Natl Taiwan Ocean Univ, Computat & Simulat Ctr, Keelung 20224, Taiwan

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2020年 / 119卷

基金：

中国国家自然科学基金;

关键词：

Transient heat conduction; Heterogeneous; Space-time discretization; GFDM; FINITE-DIFFERENCE METHOD; MESHLESS METHOD; ELEMENT METHODS; BEM;

D O I：

10.1016/j.enganabound.2020.07.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a novel space-time generalized finite difference method (GFDM) is proposed for solving transient heat conduction problems by integrating a direct space-time discretization technique into the meshless GFDM. The spatial and temporal dimensions are simultaneously discretized by randomly distributed nodes in the coupled space-time continuum. Transient heat conduction in homogenous and heterogeneous materials are analyzed by this novel meshless space-time GFDM. Examples involving multidimensional spatiotemporal domains and various complex boundary conditions are studied and discussed. The high accuracy and efficiency of this new algorithm are verified by comparing with analytical and other numerical results.

引用

页码：1 / 12

页数：12

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