A parallel partition of unity method for the nonstationary Navier-Stokes equations. Issue 8 (7th August 2017)

• Record Type: Journal Article
• Authors: Du, Guangzhi; Zuo, Liyun
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 27:Issue 8(2017)
• Page Start: 1675
• Page End: 1686
• Publication Date: 2017-08-07
• Subjects: Finite element -- Navier-stokes equations -- Partition of unity -- Superposition principle; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-06-2016-0214
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: The purpose of this paper is to propose a parallel partition of unity method (PPUM) to solve the nonstationary Navier-Stokes equations. Design/methodology/approach: This paper opted for the nonstationary Navier-Stokes equations by using the finite element method and the partition of unity method. Findings: This paper provides one efficient parallel algorithm which reaches the same accuracy as the standard Galerkin method but saves a lot of computational time. Originality/value: In this paper, a PPUM is proposed for nonstationary Navier-Stokes. At each time step, the authors only need to solve a series of independent local sub-problems in parallel instead of one global problem.