Collocation mesh-free method to solve the gray phonon Boltzmann transport equation. (1st November 2016)

• Record Type: Journal Article
• Authors: Zahiri, Saeid; Shao, Cheng; Shen, Yongxing; Bao, Hua
• Is Part Of: Numerical heat transfer. Volume 70:Number 5(2016)
• Page Start: 459
• Page End: 471
• Publication Date: 2016-11-01
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; 621.4022
• DOI: 10.1080/10407790.2016.1215719
• Languages: English
• ISSNs: 1040-7790

Abstract

ABSTRACT: The phonon Boltzmann transport equation (BTE) is an important governing equation for phonon transport at the subcontinuum scale. Numerically solving the BTE can help to study the heat transfer phenomena at microscale and nanoscale, for example, in electronic devices or nanocomposites. In this work, we developed a collocation mesh-free method to solve the BTE for different heat transfer regimes. The proposed numerical scheme does not require meshing the domain or performing numerical integration, and is thus advantageous for problems with complicated geometries. A few case studies show that our method can yield comparable results with semianalytical and finite volume methods.