Ju n 20 06 Wall laws for fluid flows at a boundary with random roughness

@inproceedings{Basson2008JuN2,
  title={Ju n 20 06 Wall laws for fluid flows at a boundary with random roughness},
  author={Basson and G{\'e}rard-Varet},
  year={2008}
}
  • Basson, Gérard-Varet
  • Published 2008
The general concern of this paper is the effect of rough boundaries on fluids. We consider a stationary flow, governed by incompressible Navier-Stokes equations, in an infinite domain bounded by two horizontal rough plates. The roughness is modeled by a spatially homogeneous random field, with characteristic size ε. A mathematical analysis of the flow for small ε is performed. The Navier's wall law is rigorously deduced from this analysis. This extends substantially former results obtained in… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
16 Citations
14 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 14 references

Roughness - induced effects on the quasigeostrophic model

  • Didier Bresch, David Gérard-Varet
  • Comm . Math . Phys .
  • 2005

Couette flows over a rough boundary and drag reduction

  • Willi Jäger
  • J . Differential Equations
  • 2001

Effective boundary conditions for laminar flows over periodic rough boundaries

  • O. Pironneau Yves Achdou, F. Valentin
  • J . Comput . Phys .
  • 1998

Darcy equation for random porous media

  • A. Yu. Beliaev, S. M. Kozlov
  • Comm . Pure Appl . Math .
  • 1996

Domain decomposition and wall laws

  • Yves Achdou, Olivier Pironneau.
  • C . R . Acad . Sci . Paris Sér . I Math .
  • 1995

Sur les lois de l ’ équilibre et du mouvement des corps élastiques

  • Louis Navier.
  • European J . Mech . B Fluids
  • 1995

Determination of solutions of boundary value problems for stationary Stokes and Navier - Stokes equations having an unbounded Dirichlet integral

  • O. A. Ladyženskaja, V. A. Solonnikov
  • Homogenization of differential operators and…
  • 1994

Highly rotating fluids in rough domains

  • David Gérard-Varet
  • Galdi . An introduction to the mathematical…
  • 1994

Similar Papers

Loading similar papers…