A polygonal element differential method for solving two-dimensional transient nonlinear heat conduction problems

被引：6

作者：

Zhou, Ling ^{[1
]}

Lv, Jun ^{[1
,3
]}

Cui, Miao ^{[2
,3
]}

Peng, Haifeng ^{[1
]}

Gao, Xiaowei ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Aeronaut & Astronaut, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Key Lab Adv Technol Aerosp Vehicles Liaoning Prov, Dalian 116024, Peoples R China

[3] Dalian Univ Technol, Linggong Rd 2, Dalian 116023, Peoples R China

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2023年 / 146卷

基金：

中国国家自然科学基金;

关键词：

Polygonal element differential method; Transient nonlinear heat conduction problem; Polygonal shape function; Finite difference scheme; Newton iterative method;

D O I：

10.1016/j.enganabound.2022.10.015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A novel polygonal element differential method (PEDM) is presented for solving two-dimensional nonlinear transient heat conduction problems for the first time. New shape functions as well as their derivatives with respect to isoparametric coordinates are derived to treat the polygonal elements with an internal node. System equations of the PBEM are formulated in terms of the governing equation and heat flux equilibrium condition, in which, a finite difference scheme is executed for calculating the transient term. Then, the nonlinearity system equations are dealt with by the Newton iterative method. Finally, examples with different structural complexities are designed to examine the property of the proposed method. The results show that the PEDM can effectively solve general two-dimensional transient nonlinear heat conduction problems with excellent accuracy and efficiency.

引用

页码：448 / 459

页数：12

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