# Mathematical and numerical analysis of an alternative well-posed two-layer turbulence model

Bijan Mohammadi; Guillaume Puigt

- 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 - Modélisation Mathématique et Analyse Numérique 35.6 (2001): 1111-1136. <http://eudml.org/doc/194088>.

@article{Mohammadi2001,

abstract = {In this article, we wish to investigate the behavior of a two-layer $k-\varepsilon $ 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 $\theta $ 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 - Modélisation Mathématique et Analyse Numérique},

keywords = {incompressible turbulent flows; two-layer $k-\varepsilon $ model; near-wall treatment; two-layer -epsilon model},

language = {eng},

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/194088},

volume = {35},

year = {2001},

}

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 - Modélisation Mathématique et Analyse Numérique

PY - 2001

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-\varepsilon $ 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 $\theta $ 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-\varepsilon $ model; near-wall treatment; two-layer -epsilon model

UR - http://eudml.org/doc/194088

ER -

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