Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
2012 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 231, no 14, 4867-4884 p.Article in journal (Refereed) Published
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
Elsevier , 2012. Vol. 231, no 14, 4867-4884 p.
Navier-Stokes, Steady-state, Boundary conditions, Convergence, Summation-by-parts
IdentifiersURN: urn:nbn:se:liu:diva-78575DOI: 10.1016/j.jcp.2012.04.007ISI: 000304257600021OAI: oai:DiVA.org:liu-78575DiVA: diva2:534161
Funding Agencies|European Commission|ACP0-GA-2010-265780|2012-06-152012-06-152013-08-30