Explicit Time Integration Method Based on Uniform Trigonometric B-Spline Function for Transient Heat Conduction Analysis

被引：0

作者：

Li, Zixu ^{[1
]}

Hong, Yongyu ^{[1
]}

Wang, Pan ^{[1
]}

Wen, Weibin ^{[1
,2
]}

机构：

[1] Cent South Univ, Sch Civil Engn, Changsha 410075, Peoples R China

[2] Cent South Univ, Mech Teaching & Expt Ctr, Changsha 410075, Peoples R China

来源：

APPLIED SCIENCES-BASEL | 2025年 / 15卷 / 10期

基金：

中国国家自然科学基金;

关键词：

accuracy; time integration; heat conduction; B-spline; STRUCTURAL DYNAMICS; ALGORITHM;

D O I：

10.3390/app15105227

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this paper, a new explicit time integration method for transient heat conduction analysis is proposed based on the uniform trigonometric B-spline function. The algorithmic calculation procedure for solving the heat conduction problem is given. The influence of algorithm parameters on accuracy and stability is determined by theoretical analysis and numerical experiments. With adjustable parameters, the proposed method can obtain high-order calculation accuracy and a large stability region. The local truncation error analysis of transient heat conduction shows that the proposed method has at least second-order accuracy. The numerical examples verify the effectiveness of the proposed method for linear and nonlinear heat conduction problems.

引用

页数：22

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