A parallel partition of unity method for the nonstationary Navier-Stokes equations
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 7 August 2017
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.
Keywords
Citation
Du, G. and Zuo, L. (2017), "A parallel partition of unity method for the nonstationary Navier-Stokes equations", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 8, pp. 1675-1686. https://doi.org/10.1108/HFF-06-2016-0214
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited