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

Abstract 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 s...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Mohamed Abdelwahed, Nejmeddine Chorfi, Henda Ouertani
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Navier–Stokes problem Spectral method Uzawa method Global resolution Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/6d54c2eb74234c69a3b75b1ff1ae5f87
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:6d54c2eb74234c69a3b75b1ff1ae5f87
record_format	dspace
spelling	oai:doaj.org-article:6d54c2eb74234c69a3b75b1ff1ae5f872021-12-05T12:07:31ZEnhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem10.1186/s13661-021-01578-71687-2770https://doaj.org/article/6d54c2eb74234c69a3b75b1ff1ae5f872021-12-01T00:00:00Zhttps://doi.org/10.1186/s13661-021-01578-7https://doaj.org/toc/1687-2770Abstract 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.Mohamed AbdelwahedNejmeddine ChorfiHenda OuertaniSpringerOpenarticleNavier–Stokes problemSpectral methodUzawa methodGlobal resolutionAnalysisQA299.6-433ENBoundary Value Problems, Vol 2021, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Navier–Stokes problem Spectral method Uzawa method Global resolution Analysis QA299.6-433
spellingShingle	Navier–Stokes problem Spectral method Uzawa method Global resolution Analysis QA299.6-433 Mohamed Abdelwahed Nejmeddine Chorfi Henda Ouertani Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem
description	Abstract 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.
format	article
author	Mohamed Abdelwahed Nejmeddine Chorfi Henda Ouertani
author_facet	Mohamed Abdelwahed Nejmeddine Chorfi Henda Ouertani
author_sort	Mohamed Abdelwahed
title	Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem
title_short	Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem
title_full	Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem
title_fullStr	Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem
title_full_unstemmed	Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem
title_sort	enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the navier–stokes problem
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/6d54c2eb74234c69a3b75b1ff1ae5f87
work_keys_str_mv	AT mohamedabdelwahed enhancedalgorithmsforsolvingthespectraldiscretizationofthevorticityvelocitypressureformulationofthenavierstokesproblem AT nejmeddinechorfi enhancedalgorithmsforsolvingthespectraldiscretizationofthevorticityvelocitypressureformulationofthenavierstokesproblem AT hendaouertani enhancedalgorithmsforsolvingthespectraldiscretizationofthevorticityvelocitypressureformulationofthenavierstokesproblem
_version_	1718372197846745088

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

Ejemplares similares