An algorithm for solving the Navier–Stokes problem with mixed boundary conditions

Autor: Mohamed Abdelwahed, Nejmeddine Chorfi, Najeh Mezghani, Henda Ouertani
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Boundary Value Problems, Vol 2022, Iss 1, Pp 1-15 (2022)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-022-01678-y
Popis: Abstract We consider a time-dependent Navier–Stokes problem in dimension two and three provided with mixed boundary conditions. We propose an iterative algorithm and its implementation for resolving this considered problem. The discretization is based on a backward Euler scheme with respect to the time variable and the spectral method with respect to the space variables. We present some numerical experiments which confirm the interest of the discretization.
Databáze: Directory of Open Access Journals
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