|Preprint-No.:||< 395 >||Published in:||April 2014||PDF-File:||IGPM395.pdf|
|Title:||Effective Boundary Conditions for Compressible Flows over Rough Boundaries|
|Authors:||Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller|
Simulations of a ﬂow over a roughness are prohibitively expensive for small scale structures. If the interest is only on some macroscale quantity it will be sufficient to model the inﬂuence of the unresolved microscale effects. Such multiscale models rely on an appropriate upscaling strategy. Here the strategy originally developed by Achdou et al. 1 for incompressible ﬂows is extended to compressible high-Reynolds number ﬂow. For proof of concept a laminar ﬂow over a ﬂat plate with partially embedded roughness is simulated. The results are compared with computations on a rough domain.
|Keywords:||homogenization, Navier wall law, compressible ﬂow, upscaling strategy, effective problem|
|Publication:||Mathematical Models and Methods in Applied Sciences |
25(7), 1257-1297, (2015)