Prof. Siegfried Müller, IGPM, RWTH Aachen University
This is joint work with Dr. Giulia Deolmi and Prof. Wolfgang Dahmen.

Title:
Effective Boundary Conditions for Compressible Flows over Rough Boundaries

Abstract:

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. In this talk 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 and the results are compared with computations on a rough domain [2,3].

[1] Y. Achdou, O. Pironneau, F. Valentin, Eff ective boundary conditions for laminar flows over periodic rough boundaries, J. Comp. Phys., 147, 187–218, 1998.
[2] G. Deolmi, W. Dahmen, S. Müller, Effective boundary conditions for compressible flows over rough boundaries, Mathematical Models and Methods in Applied Sciences, 25(7), 1257-1297, 2015.
[3] G. Deolmi, W. Dahmen, S. Müller, Effective boundary conditions: a general strategy and application to compressible flows over rough boundaries, Communications in Computational Physics, 21(2), 358–400, 2017.