An iterative procedure to solve a coupled two-fluids turbulence model

Tomas Chacón Rebollo; Stéphane Del Pino; Driss Yakoubi

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 44, Issue: 4, page 693-713
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Chacón Rebollo, Tomas, Del Pino, Stéphane, and Yakoubi, Driss. "An iterative procedure to solve a coupled two-fluids turbulence model." ESAIM: Mathematical Modelling and Numerical Analysis 44.4 (2010): 693-713. <http://eudml.org/doc/250807>.

@article{ChacónRebollo2010,
abstract = { 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. },
author = {Chacón Rebollo, Tomas, Del Pino, Stéphane, Yakoubi, Driss},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Ocean-atmosphere coupling; turbulent flows; convergence analysis; iterative method; spectral method; ocean-atmosphere coupling; convergence analysis},
language = {eng},
month = {6},
number = {4},
pages = {693-713},
publisher = {EDP Sciences},
title = {An iterative procedure to solve a coupled two-fluids turbulence model},
url = {http://eudml.org/doc/250807},
volume = {44},
year = {2010},
}

TY - JOUR
AU - Chacón Rebollo, Tomas
AU - Del Pino, Stéphane
AU - Yakoubi, Driss
TI - An iterative procedure to solve a coupled two-fluids turbulence model
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/6//
PB - EDP Sciences
VL - 44
IS - 4
SP - 693
EP - 713
AB - 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.
LA - eng
KW - Ocean-atmosphere coupling; turbulent flows; convergence analysis; iterative method; spectral method; ocean-atmosphere coupling; convergence analysis
UR - http://eudml.org/doc/250807
ER -

References

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