### Abstract

A simple isoparametric geometry mapping is applied to incorporate irregular four-node quadrilateral elements into Modified Nodal Integral Method for the two-dimensional, time-dependent, incompressible Navier-Stokes equations. The modified scheme has been applied to solve the two-dimensional lid driven cavity problem with exact solution, solved over a sub-domain that necessitate non-rectangular elements for efficient coarse discretization permitted by nodal scheme. Numerical results show that accuracy of the modified nodal integral scheme can be maintained for irregular shaped cells, thus extending the efficiency and accuracy of such schemes to domains with curved boundaries.

Original language | English (US) |
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Title of host publication | American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 |

Pages | 2243-2254 |

Number of pages | 12 |

Volume | 4 |

State | Published - 2009 |

Event | International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 - Saratoga Springs, NY, United States |

### Other

Other | International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 |
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Country | United States |

City | Saratoga Springs, NY |

Period | 5/3/09 → 5/7/09 |

### Fingerprint

### Keywords

- Isoparametric mapping
- Navier-Stokes
- Nodal Integral Method

### ASJC Scopus subject areas

- Nuclear Energy and Engineering
- Computational Mathematics
- Nuclear and High Energy Physics

### Cite this

*American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009*(Vol. 4, pp. 2243-2254)

**Modified nodal integral method incorporated with irregular-shape elements for Navier-Stokes equations.** / Huang, Kai; Rizwan-Uddin.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009.*vol. 4, pp. 2243-2254, International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009, Saratoga Springs, NY, United States, 3-7 May.

}

TY - CHAP

T1 - Modified nodal integral method incorporated with irregular-shape elements for Navier-Stokes equations

AU - Huang,Kai

AU - Rizwan-Uddin,

PY - 2009

Y1 - 2009

N2 - A simple isoparametric geometry mapping is applied to incorporate irregular four-node quadrilateral elements into Modified Nodal Integral Method for the two-dimensional, time-dependent, incompressible Navier-Stokes equations. The modified scheme has been applied to solve the two-dimensional lid driven cavity problem with exact solution, solved over a sub-domain that necessitate non-rectangular elements for efficient coarse discretization permitted by nodal scheme. Numerical results show that accuracy of the modified nodal integral scheme can be maintained for irregular shaped cells, thus extending the efficiency and accuracy of such schemes to domains with curved boundaries.

AB - A simple isoparametric geometry mapping is applied to incorporate irregular four-node quadrilateral elements into Modified Nodal Integral Method for the two-dimensional, time-dependent, incompressible Navier-Stokes equations. The modified scheme has been applied to solve the two-dimensional lid driven cavity problem with exact solution, solved over a sub-domain that necessitate non-rectangular elements for efficient coarse discretization permitted by nodal scheme. Numerical results show that accuracy of the modified nodal integral scheme can be maintained for irregular shaped cells, thus extending the efficiency and accuracy of such schemes to domains with curved boundaries.

KW - Isoparametric mapping

KW - Navier-Stokes

KW - Nodal Integral Method

UR - http://www.scopus.com/inward/record.url?scp=74549158313&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74549158313&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781615673490

VL - 4

SP - 2243

EP - 2254

BT - American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009

ER -