Modified Nodal Integral Method Incorporated with Irregular-shape Elements for Navier-stokes Equations
نویسنده
چکیده
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 twodimensional 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.
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