# 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

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topChacón 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 -

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