An alternative space–time meshless method for solving transient heat transfer problems with high discontinuous moving sources. (3rd May 2016)

• Record Type: Journal Article
• Authors: Sophy, Tonino; Da Silva, Arthur; Kribèche, Ali; Sadat, Hamou
• Is Part Of: Numerical heat transfer. Volume 69:Number 5(2016)
• Page Start: 377
• Page End: 388
• Publication Date: 2016-05-03
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; 621.4022
• DOI: 10.1080/10407790.2016.1138724
• Languages: English
• ISSNs: 1040-7790

Abstract

ABSTRACT: The aim of this work is the development of a space–time diffuse approximation meshless method (DAM) to solve heat equations containing discontinuous sources. This work is devoted to transient heat transfer problems with static and moving heat sources applied on a metallic plate and whose power presents temporal discontinuities. The space–time DAM using classical weight function is convenient for continuous transient heat transfer. Nevertheless, for problems including discontinuities, some spurious oscillations for the temperature field occur. A new weight function, respecting the principle of causality, is used to eradicate the physically unexpected oscillations.