The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions

Autor: Mohamed Abdelwahed, Nejmeddine Chorfi, Henda Ouertani
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Boundary Value Problems, Vol 2020, Iss 1, Pp 1-20 (2020)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-020-01387-4
Popis: Abstract This paper deals with the implementation of the spectral discretization of the vorticity–velocity–pressure formulation of the nonstationary Stokes problem. We use the implicit Euler scheme for the discretization in time. We propose a global method for the resolution of the linear system resulting from the discrete problem. This method is implemented, and some numerical results are presented which confirm the good convergence for the three unknowns.
Databáze: Directory of Open Access Journals
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