# Mathematical and Numerical Analysis of an Alternative Well-Posed Two-Layer Turbulence Model

Bijan Mohammadi; Guillaume Puigt

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 35, Issue: 6, page 1111-1136
- ISSN: 0764-583X

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topMohammadi, Bijan, and Puigt, Guillaume. "Mathematical and Numerical Analysis of an Alternative Well-Posed Two-Layer Turbulence Model." ESAIM: Mathematical Modelling and Numerical Analysis 35.6 (2010): 1111-1136. <http://eudml.org/doc/197393>.

@article{Mohammadi2010,

abstract = {
In this article, we wish to investigate the behavior of a two-layer k - ε
turbulence model from the mathematical point of view, as this model is useful for the near-wall treatment in numerical simulations.
First, we explain the difficulties inherent in the
model. Then, we present a new variable θ that enables the mathematical study. Due to a problem of definition of the turbulent
viscosity on the wall boundary, we consider an alternative version of the original equation. We show that some physical aspects
of the model are preserved by the new formulation, and in particular, we show how the physicists can help us to prove
the existence of a solution of our problem. Finally, we are interested in the Navier-Stokes equations coupled with the modified turbulence
model and we show that the alternative model may be preferred to the original one, because of its good properties
(existence of a solution of the coupled problems).
},

author = {Mohammadi, Bijan, Puigt, Guillaume},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Incompressible turbulent flows; two-layer k - ε model; near-wall treatment.; incompressible turbulent flows; two-layer -epsilon model; near-wall treatment},

language = {eng},

month = {3},

number = {6},

pages = {1111-1136},

publisher = {EDP Sciences},

title = {Mathematical and Numerical Analysis of an Alternative Well-Posed Two-Layer Turbulence Model},

url = {http://eudml.org/doc/197393},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Mohammadi, Bijan

AU - Puigt, Guillaume

TI - Mathematical and Numerical Analysis of an Alternative Well-Posed Two-Layer Turbulence Model

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 35

IS - 6

SP - 1111

EP - 1136

AB -
In this article, we wish to investigate the behavior of a two-layer k - ε
turbulence model from the mathematical point of view, as this model is useful for the near-wall treatment in numerical simulations.
First, we explain the difficulties inherent in the
model. Then, we present a new variable θ that enables the mathematical study. Due to a problem of definition of the turbulent
viscosity on the wall boundary, we consider an alternative version of the original equation. We show that some physical aspects
of the model are preserved by the new formulation, and in particular, we show how the physicists can help us to prove
the existence of a solution of our problem. Finally, we are interested in the Navier-Stokes equations coupled with the modified turbulence
model and we show that the alternative model may be preferred to the original one, because of its good properties
(existence of a solution of the coupled problems).

LA - eng

KW - Incompressible turbulent flows; two-layer k - ε model; near-wall treatment.; incompressible turbulent flows; two-layer -epsilon model; near-wall treatment

UR - http://eudml.org/doc/197393

ER -

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