Explicit Time Integration Method Based on Uniform Trigonometric B-Spline Function for Transient Heat Conduction Analysis
Source abstract
Abstract
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.
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Research context
OpenAlex topics: Railway Engineering and Dynamics · Aerodynamics and Fluid Dynamics Research · Geotechnical Engineering and Underground Structures
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Affiliations
School of Civil Engineering, Central South University, Changsha 410075, China
Mechanical Teaching and Experimental Center, Central South University, Changsha 410075, China
Funding
National Natural Science Foundation of China · Science Fund for Distinguished Young Scholars of Hunan Province, China · Natural Science Foundation of Hunan Province, China
References (43)
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