A fast and stabilized meshless method for the convection-dominated convection-diffusion problems. (17th August 2016)

• Record Type: Journal Article
• Authors: Zhang, Ping; Zhang, Xiaohua; Xiang, Hui; Song, Laizhong
• Is Part Of: Numerical heat transfer. Volume 70:Number 4(2016)
• Page Start: 420
• Page End: 431
• Publication Date: 2016-08-17
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; 621.4022
• DOI: 10.1080/10407782.2016.1177327
• Languages: English
• ISSNs: 1040-7782

Abstract

ABSTRACT: This paper presents a fast and stabilized meshless method that combines variational multi-scale element free Galerkin (VMEFG) method and proper orthogonal decomposition (POD) method, namely VMEFG&POD, to solve convection-diffusion problems. Variational multi-scale method is applied to overcome the numerical oscillation for the convection-dominated problems and the POD method is used to improve the computational efficiency of the VMEFG method. This method is validated by considering the simulation of two-dimensional convection-diffusion problems with a small diffusion coefficient. It is demonstrated that the proposed method can largely improve the computational efficiency without a significant loss in accuracy.