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Weak and Strong Wall Boundary Procedures and Convergence to Steady-State of the Navier-Stokes Equations
Linköpings universitet, Matematiska institutionen, Beräkningsvetenskap. Linköpings universitet, Tekniska högskolan.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 (engelsk)Rapport (Fagfellevurdert)
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.

sted, utgiver, år, opplag, sider
Linköping: Linköping University Electronic Press , 2011. , s. 32
Emneord [en]
Navier-Stokes, steady-state, boundary conditions, convergence, summation-by-parts
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-71232ISRN: LiTH-MAT-R--2011/15--SEOAI: oai:DiVA.org:liu-71232DiVA, id: diva2:446472
Tilgjengelig fra: 2011-10-17 Laget: 2011-10-07 Sist oppdatert: 2013-08-30bibliografisk kontrollert

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Weak and Strong Wall Boundary Procedures and Convergence to Steady-State of the Navier-Stokes Equations(3574 kB)257 nedlastinger
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