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

Kai Huang, Rizwan-Uddin

Research output: ResearchConference 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.

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
Volume4
StatePublished - 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

Other

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

Fingerprint

Integral Method
Irregular
Navier-Stokes Equations
Navier-Stokes equation
Navier Stokes equations
cavities
geometry
cells
Geometry
Curved Boundary
Lid-driven Cavity
Quadrilateral Element
Incompressible Navier-Stokes Equations
Exact Solution
Discretization
Numerical Results
Cell
Vertex of a graph

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

Huang, K., & Rizwan-Uddin (2009). Modified nodal integral method incorporated with irregular-shape elements for Navier-Stokes equations. In 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.

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

Research output: ResearchConference contribution

Huang, K & Rizwan-Uddin 2009, Modified nodal integral method incorporated with irregular-shape elements for Navier-Stokes equations. in 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, 5/3/09.
Huang K, Rizwan-Uddin. Modified nodal integral method incorporated with irregular-shape elements for Navier-Stokes equations. In American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009. Vol. 4. 2009. p. 2243-2254.
Huang, Kai ; Rizwan-Uddin. / Modified nodal integral method incorporated with irregular-shape elements for Navier-Stokes equations. American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009. Vol. 4 2009. pp. 2243-2254
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