| Issue |
ESAIM: M2AN
Volume 44, Number 4, July-August 2010
|
|
|---|---|---|
| Page(s) | 693 - 713 | |
| DOI | https://doi.org/10.1051/m2an/2010015 | |
| Published online | 23 February 2010 | |
An iterative procedure to solve a coupled two-fluids turbulence model
1
Departamento de
Ecuaciones Diferenciales y Analisis Numerico, Universidad de
Sevilla, Spain.
2
CEA, DAM, DIF, 91297 Arpajon, France.
3
Laboratoire Jacques-Louis
Lions, Université Pierre et Marie Curie, 4 place Jussieu, 75005
Paris Cedex, France.
Received:
29
March
2008
Revised:
1
August
2009
This paper introduces a scheme for the numerical approximation of a model for two turbulent flows with coupling at an interface. We consider the variational formulation of the coupled model, where the turbulent kinetic energy equation is formulated by transposition. We prove the convergence of the approximation to this formulation for 3D flows for large turbulent viscosities and smooth enough flows, whenever bounded in W1,p Sobolev norms for p large enough. Under the same assumptions, we show that the limit is a solution of the initial problem. Finally, we give some numerical experiments to enlighten the theoretical work.
Mathematics Subject Classification: 63N30 / 76M10
Key words: Ocean-atmosphere coupling / turbulent flows / convergence analysis / iterative method / spectral method
© EDP Sciences, SMAI, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.