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

Kai Huang, Rizwan Uddin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish (US)
Title of host publicationAmerican Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Pages2243-2254
Number of pages12
StatePublished - Dec 1 2009
EventInternational Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 - Saratoga Springs, NY, United States
Duration: May 3 2009May 7 2009

Publication series

NameAmerican Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Volume4

Other

OtherInternational Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Country/TerritoryUnited States
CitySaratoga Springs, NY
Period5/3/095/7/09

Keywords

  • Isoparametric mapping
  • Navier-Stokes
  • Nodal Integral Method

ASJC Scopus subject areas

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

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