TY - GEN
T1 - Modified nodal integral method incorporated with irregular-shape elements for Navier-Stokes equations
AU - Huang, Kai
AU - Uddin, Rizwan
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
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M3 - Conference contribution
AN - SCOPUS:74549158313
SN - 9781615673490
T3 - American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
SP - 2243
EP - 2254
BT - American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
T2 - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Y2 - 3 May 2009 through 7 May 2009
ER -