### Abstract

The low Reynolds number k-ε model is used in some commercial hydrodynamic models to determine boundary layer properties. Such models have been found to produce grid-dependent solutions. A reliable engineering estimate of fundamental boundary layer properties is of utmost importance for practicing engineers. Here, the effect of grid spacing in four different versions of the low Reynolds number k-ε model is studied using direct numerical simulation data of a one-dimensional sinusoidal oscillatory boundary layer. A detailed comparison is made for cross-stream velocities, turbulent kinetic energy, bottom shear stress, friction factor and phase difference. For the present data, the limiting value of the distance to the first grid point from the wall is expressed in terms of Stokes layer thickness. It is observed that, in order to predict the boundary layer properties with reasonable accuracy, the first grid point should be placed at a distance of about 0.02 times the Stokes layer thickness from the wall. The results of the present study may be useful for practicing engineers and researchers in their choice of appropriate grid spacing for low Reynolds number k-ε models.

Original language | English |
---|---|

Pages (from-to) | 371-377 |

Number of pages | 7 |

Journal | Proceedings of the Institution of Civil Engineers: Water Management |

Volume | 162 |

Issue number | 6 |

DOIs | |

Publication status | Published - Dec 1 2009 |

### Fingerprint

### Keywords

- Coastal engineering
- Hydraulics & hydrodynamics
- Mathematical modelling

### ASJC Scopus subject areas

- Water Science and Technology

### Cite this

*Proceedings of the Institution of Civil Engineers: Water Management*,

*162*(6), 371-377. https://doi.org/10.1680/wama.2009.162.6.371

**Grid dependence of k-ε model for oscillatory boundary layers.** / Ghumman, Abdul Razzaq; Sana, Ahmad; Tanaka, Hitoshi.

Research output: Contribution to journal › Article

*Proceedings of the Institution of Civil Engineers: Water Management*, vol. 162, no. 6, pp. 371-377. https://doi.org/10.1680/wama.2009.162.6.371

}

TY - JOUR

T1 - Grid dependence of k-ε model for oscillatory boundary layers

AU - Ghumman, Abdul Razzaq

AU - Sana, Ahmad

AU - Tanaka, Hitoshi

PY - 2009/12/1

Y1 - 2009/12/1

N2 - The low Reynolds number k-ε model is used in some commercial hydrodynamic models to determine boundary layer properties. Such models have been found to produce grid-dependent solutions. A reliable engineering estimate of fundamental boundary layer properties is of utmost importance for practicing engineers. Here, the effect of grid spacing in four different versions of the low Reynolds number k-ε model is studied using direct numerical simulation data of a one-dimensional sinusoidal oscillatory boundary layer. A detailed comparison is made for cross-stream velocities, turbulent kinetic energy, bottom shear stress, friction factor and phase difference. For the present data, the limiting value of the distance to the first grid point from the wall is expressed in terms of Stokes layer thickness. It is observed that, in order to predict the boundary layer properties with reasonable accuracy, the first grid point should be placed at a distance of about 0.02 times the Stokes layer thickness from the wall. The results of the present study may be useful for practicing engineers and researchers in their choice of appropriate grid spacing for low Reynolds number k-ε models.

AB - The low Reynolds number k-ε model is used in some commercial hydrodynamic models to determine boundary layer properties. Such models have been found to produce grid-dependent solutions. A reliable engineering estimate of fundamental boundary layer properties is of utmost importance for practicing engineers. Here, the effect of grid spacing in four different versions of the low Reynolds number k-ε model is studied using direct numerical simulation data of a one-dimensional sinusoidal oscillatory boundary layer. A detailed comparison is made for cross-stream velocities, turbulent kinetic energy, bottom shear stress, friction factor and phase difference. For the present data, the limiting value of the distance to the first grid point from the wall is expressed in terms of Stokes layer thickness. It is observed that, in order to predict the boundary layer properties with reasonable accuracy, the first grid point should be placed at a distance of about 0.02 times the Stokes layer thickness from the wall. The results of the present study may be useful for practicing engineers and researchers in their choice of appropriate grid spacing for low Reynolds number k-ε models.

KW - Coastal engineering

KW - Hydraulics & hydrodynamics

KW - Mathematical modelling

UR - http://www.scopus.com/inward/record.url?scp=77956410757&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956410757&partnerID=8YFLogxK

U2 - 10.1680/wama.2009.162.6.371

DO - 10.1680/wama.2009.162.6.371

M3 - Article

VL - 162

SP - 371

EP - 377

JO - Water Management

JF - Water Management

SN - 1741-7589

IS - 6

ER -