Simulating the laminar von Karman flow in Nek5000
2014 (English)Report (Other academic)
The laminar incompressible boundary layer over a rotating disk, also called the von Karman flow, is investigated. The goal is to set up a direct numericalsimulation (DNS) environment for further use to investigate the transition from laminar to turbulent flow for this boundary layer. For this the spectral-element code Nek5000 is used. A set of ODE-equations are first derived from the incompressible cylindrical Navier–Stokes equations, which are solved for the exact von Karman solution. Further, Nek5000 is prepared to solve for the same laminar solution. Comparing the two solutions give a quantification of the accuracy of the DNS solver Nek5000. Different scalings of the equations are investigated, together with quantifications of how good the different available boundary conditions are, also investigating different reference frames and grid dependency of the solution. The general conclusion is that the von K ́rm ́na aflow is possible to simulate in Nek5000. The method was robust when it cameto using different scalings, reference frames and resolutions.
Place, publisher, year, edition, pages
Fluid mechanics, boundary layer, rotating disk
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-146080OAI: oai:DiVA.org:kth-146080DiVA: diva2:722144
QC 201406172014-06-052014-06-052014-07-08Bibliographically approved