A novel numerical method for steady-state thermal simulation based on loop-tree and HBRWG basis functions. (8th July 2020)

• Record Type: Journal Article
• Authors: Chen, Liang; Tang, Min; Ma, Zuhui; Mao, Junfa
• Is Part Of: Numerical heat transfer. Volume 78:Number 5(2020)
• Page Start: 348
• Page End: 363
• Publication Date: 2020-07-08
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; 621.4022
• DOI: 10.1080/10407790.2020.1787040
• Languages: English
• ISSNs: 1040-7790

Abstract

Abstract: This article presents a novel numerical method for steady-state thermal simulation. This method firstly solves the heat flux efficiently by applying the loop-tree basis functions. Then, the temperature is obtained by finding solutions of the gradient equation. The half boundary Rao-Wilton-Glisson (HBRWG) basis functions are employed for handling arbitrary boundary conditions. In addition, the triangulation-based interpolation technique is utilized to interpolate temperature profile with obtained results in post-processing. Three examples with mixed boundary conditions are studied to validate the accuracy of proposed method for simulating steady-state thermal problems. Numerical results show that our method has a good accuracy and is well capable of handling arbitrary boundary conditions.