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Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem
Journal article   Open access  Peer reviewed

Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem

Mohamed Abdelwahed, Nejmeddine Chorfi and Henda Ouertani
Boundary value problems, Vol.2021(1), pp.1-11
03/12/2021
DOI: https://doi.org/10.1186/s13661-021-01578-7

Abstract

Analysis Approximations and Expansions Difference and Functional Equations general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Partial Differential Equations in Applied Sciences
The objective of the article is to improve the algorithms for the resolution of the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem in two and three domains. Two algorithms are proposed. The first one is based on the Uzawa method. In the second one we consider a modified global resolution. The two algorithms are implemented and their results are compared.
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https://doi.org/10.1186/s13661-021-01578-7View
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