Two-Level Stabilized Finite Volume Methods for Stationary Navier-Stokes Equations
Joint Authors
Ayoub, Noureddine
Bahaj, Mohamed
Rachid, Anas
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-07
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We propose two algorithms of two-level methods for resolving the nonlinearity in the stabilized finite volume approximation of the Navier-Stokes equations describing the equilibrium flow of a viscous, incompressible fluid.
A macroelement condition is introduced for constructing the local stabilized finite volume element formulation.
Moreover the two-level methods consist of solving a small nonlinear system on the coarse mesh and then solving a linear system on the fine mesh.
The error analysis shows that the two-level stabilized finite volume element method provides an approximate solution with the convergence rate of the same order as the usual stabilized finite volume element solution solving the Navier-Stokes equations on a fine mesh for a related choice of mesh widths.
American Psychological Association (APA)
Rachid, Anas& Bahaj, Mohamed& Ayoub, Noureddine. 2012. Two-Level Stabilized Finite Volume Methods for Stationary Navier-Stokes Equations. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-462417
Modern Language Association (MLA)
Rachid, Anas…[et al.]. Two-Level Stabilized Finite Volume Methods for Stationary Navier-Stokes Equations. Advances in Numerical Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-462417
American Medical Association (AMA)
Rachid, Anas& Bahaj, Mohamed& Ayoub, Noureddine. Two-Level Stabilized Finite Volume Methods for Stationary Navier-Stokes Equations. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-462417
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462417