Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/47496

TitleA sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes
Author(s)Costa, Ricardo
Clain, Stéphane
Machado, Gaspar J.
KeywordsStokes equations
Incompressible fluid
Finite volume
High-order scheme
Preconditioning
Issue date15-Nov-2017
PublisherAcademic Press Inc
JournalJournal of Computational Physics
Abstract(s)We propose a new sixth-order finite volume scheme to solve the bidimensional linear steady-state Stokes problem on staggered unstructured meshes and complex geometries. The method is based on several classes of polynomial reconstructions to accurately evaluate the diffusive fluxes, the pressure gradient, and the velocity divergence. The main difficulty is to handle the div-grad duality to avoid numerical locking and oscillations. A new preconditioning technique based on the construction of a pseudo-inverse matrix is also proposed to dramatically reduce the computational effort. Several numerical simulations are carried out to highlight the performance of the new method.
TypeArticle
URIhttp://hdl.handle.net/1822/47496
DOI10.1016/j.jcp.2017.07.047
ISSN0021-9991
Peer-Reviewedyes
AccessRestricted access (Author)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
1-s2.0-S0021999117305557-main.pdf
  Restricted access
2,16 MBAdobe PDFView/Open    Request a copy!

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID