A parallel two-level linearization method for incompressible flow problems

Based on the domain decomposition and finite element discretization, a parallel two-level linearization method for the stationary incompressible Navier–Stokes equations is proposed and analyzed. The basic idea of the method is to first solve the nonlinear problem by Newton’s iterations of m times on...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics letters 2011-03, Vol.24 (3), p.364-369
1. Verfasser:	Shang, Yueqiang
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational fluid dynamics Discretization Domain decomposition Exact sciences and technology Finite element Fluid flow Incompressible flow Linearization Mathematical analysis Mathematical models Mathematics Navier-Stokes equations Newton iterative method Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Parallel algorithm Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Two-level method
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Based on the domain decomposition and finite element discretization, a parallel two-level linearization method for the stationary incompressible Navier–Stokes equations is proposed and analyzed. The basic idea of the method is to first solve the nonlinear problem by Newton’s iterations of m times on a coarse grid, and then solve a linearized Oseen problem in parallel on a fine grid to correct the coarse grid solution. The efficiency of the method is illustrated by numerical results.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2010.10.027