Abstract
This paper presents an adaptive finite element formulation based on equal-order-interpolation for steady and unsteady incompressible Navier-Stokes equations. For the error estimation, the Zienkiewicz-Zhu's method is used based on a posteriori error estimation. The mesh generation for adaptation is performed using the Delaunay triangulation with h-refinement procedure. For the posteriori error estimation of unsteady flow problem, a statistic value of the error norm is used. Present formulation has the advantage of computational efficiency for the unsteady flow problem, particularly. The analysis of a cavity flow and the flow around a rectangular cylinder (B/D=4.0) are performed for the numerical examples of the steady and unsteady incompressible Navier-Stokes equations respectively.
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