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Weak and Strong Wall Boundary Procedures and Convergence to Steady-State of the Navier-Stokes Equations
Linköping University, Department of Mathematics, Scientific Computing. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
Department of Information Technology, Scientific Computing, Uppsala University.
Department of Aeronautics and Systems Integration, FOI, The Swedish Defence Research Agency, SE-164 90 Stockholm.
2011 (English)Report (Refereed)
Abstract [en]

We study the influence of different implementations of no-slip solid wall boundary conditions on the convergence to steady-state of the Navier-Stokes equations. The various approaches are investigated using the energy method and an eigenvalue analysis. It is shown that the weak implementation is superior and enhances the convergence to steady-state for coarse meshes. It is also demonstrated that all the stable approaches produce the same convergence rate as the mesh size goes to zero. The numerical results obtained by using a fully nonlinear finite volume solver support the theoretical findings from the linear analysis.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press , 2011. , 32 p.
Keyword [en]
Navier-Stokes, steady-state, boundary conditions, convergence, summation-by-parts
National Category
URN: urn:nbn:se:liu:diva-71232ISRN: LiTH-MAT-R--2011/15--SEOAI: diva2:446472
Available from: 2011-10-17 Created: 2011-10-07 Last updated: 2013-08-30Bibliographically approved

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