### Abstract

The simulation of turbulent flows is an ongoing challenge. This is especially true for the flows in nuclear reactors. In order to save computational time and resource, accurate numerical schemes are required for such simulations. The encouraging results from the laminar flow simulations using Mod(fied Nodal Integral Method (MNIM), serves as a motivation to use the method for turbulent flow simulations. The k-c model in this work has been implemented using the MNIM formulation. Two models, one for low Reynolds number and one for high Reynolds number; are implemented. The application of the model to relatively simple problems shows that results are good and similar to what one would expect from the k- c model implementation with any other numerical scheme. The results are compared with the DNS data from various sources in the literature. The difference between the DNS data and current implementation arises mainly from the assumption made in the k- c model rather than the choice of the numerical scheme in the present work. It is seen that very coarse grids can be used away from the walls for the present simulation. This is especially true for low Reynolds number model. However; away from the wall very few cells are needed. Hence, MIVIM formulation for the k-e model promises to reduce the over all computational cost despite the fact that there will be relatively little gain in regions near the walls.

Language | English (US) |
---|---|

Title of host publication | American Nuclear Society - International Conference on Advances in Nuclear Power Plants, ICAPP 2008 |

Pages | 1832-1842 |

Number of pages | 11 |

Volume | 3 |

State | Published - 2008 |

Event | International Conference on Advances in Nuclear Power Plants, ICAPP 2008 - Anaheim, CA, United States Duration: Jun 8 2008 → Jun 12 2008 |

### Other

Other | International Conference on Advances in Nuclear Power Plants, ICAPP 2008 |
---|---|

Country | United States |

City | Anaheim, CA |

Period | 6/8/08 → 6/12/08 |

### Fingerprint

### ASJC Scopus subject areas

- Fuel Technology
- Nuclear Energy and Engineering

### Cite this

*American Nuclear Society - International Conference on Advances in Nuclear Power Plants, ICAPP 2008*(Vol. 3, pp. 1832-1842)

**K-E modeling using modified nodal integral method.** / Singh, Suneet; Rizwanuddin.

Research output: Research › Conference contribution

*American Nuclear Society - International Conference on Advances in Nuclear Power Plants, ICAPP 2008.*vol. 3, pp. 1832-1842, International Conference on Advances in Nuclear Power Plants, ICAPP 2008, Anaheim, CA, United States, 6/8/08.

}

TY - CHAP

T1 - K-E modeling using modified nodal integral method

AU - Singh,Suneet

AU - Rizwanuddin,

PY - 2008

Y1 - 2008

N2 - The simulation of turbulent flows is an ongoing challenge. This is especially true for the flows in nuclear reactors. In order to save computational time and resource, accurate numerical schemes are required for such simulations. The encouraging results from the laminar flow simulations using Mod(fied Nodal Integral Method (MNIM), serves as a motivation to use the method for turbulent flow simulations. The k-c model in this work has been implemented using the MNIM formulation. Two models, one for low Reynolds number and one for high Reynolds number; are implemented. The application of the model to relatively simple problems shows that results are good and similar to what one would expect from the k- c model implementation with any other numerical scheme. The results are compared with the DNS data from various sources in the literature. The difference between the DNS data and current implementation arises mainly from the assumption made in the k- c model rather than the choice of the numerical scheme in the present work. It is seen that very coarse grids can be used away from the walls for the present simulation. This is especially true for low Reynolds number model. However; away from the wall very few cells are needed. Hence, MIVIM formulation for the k-e model promises to reduce the over all computational cost despite the fact that there will be relatively little gain in regions near the walls.

AB - The simulation of turbulent flows is an ongoing challenge. This is especially true for the flows in nuclear reactors. In order to save computational time and resource, accurate numerical schemes are required for such simulations. The encouraging results from the laminar flow simulations using Mod(fied Nodal Integral Method (MNIM), serves as a motivation to use the method for turbulent flow simulations. The k-c model in this work has been implemented using the MNIM formulation. Two models, one for low Reynolds number and one for high Reynolds number; are implemented. The application of the model to relatively simple problems shows that results are good and similar to what one would expect from the k- c model implementation with any other numerical scheme. The results are compared with the DNS data from various sources in the literature. The difference between the DNS data and current implementation arises mainly from the assumption made in the k- c model rather than the choice of the numerical scheme in the present work. It is seen that very coarse grids can be used away from the walls for the present simulation. This is especially true for low Reynolds number model. However; away from the wall very few cells are needed. Hence, MIVIM formulation for the k-e model promises to reduce the over all computational cost despite the fact that there will be relatively little gain in regions near the walls.

UR - http://www.scopus.com/inward/record.url?scp=70349858101&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349858101&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781605607870

VL - 3

SP - 1832

EP - 1842

BT - American Nuclear Society - International Conference on Advances in Nuclear Power Plants, ICAPP 2008

ER -