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Error estimation and adaptivity in Navier-Stokes incompressible flows

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Abstract

An adaptive remeshing procedure for solving Navier-Stokes incompressible fluid flow problems is presented in this paper. This procedure has been implemented using the error estimator developed by Zienkiewicz and Zhu (1987, 1989) and a semi-implicit time-marching scheme for Navier-Stokes flow problems (Zienkiewicz et al. 1990). Numerical examples are presented, showing that the error estimation and adaptive procedure are capable of monitoring the flow field, updating the mesh when necessary, and providing nearly optimal meshes throughout the calculation, thus making the solution reliable and the computation economical and efficient.

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Communicated by S. N. Atluri, April 1, 1990

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Wu, J., Zhu, J.Z., Szmelter, J. et al. Error estimation and adaptivity in Navier-Stokes incompressible flows. Computational Mechanics 6, 259–270 (1990). https://doi.org/10.1007/BF00370106

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  • DOI: https://doi.org/10.1007/BF00370106

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