A subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions

In this paper, we consider a subgrid stabilized Oseen iterative method for the Navier-Stokes equations with nonlinear slip boundary conditions and high Reynolds number. We provide one-level and two-level schemes based on this stability algorithm. The two-level schemes involve solving a subgrid stabi...

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Autores principales:	Xiaoxia Dai, Chengwei Zhang
Formato:	article
Lenguaje:	EN
Publicado:	Vilnius Gediminas Technical University 2021
Materias:	navier-stokes equations nonlinear slip boundary conditions subgrid stabilization two-level method error estimate Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/e0af2ae33de6402d9604516c1703d95a
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id	oai:doaj.org-article:e0af2ae33de6402d9604516c1703d95a
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spelling	oai:doaj.org-article:e0af2ae33de6402d9604516c1703d95a2021-11-29T09:14:00ZA subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions1392-62921648-351010.3846/mma.2021.12299https://doaj.org/article/e0af2ae33de6402d9604516c1703d95a2021-10-01T00:00:00Zhttps://journals.vgtu.lt/index.php/MMA/article/view/12299https://doaj.org/toc/1392-6292https://doaj.org/toc/1648-3510In this paper, we consider a subgrid stabilized Oseen iterative method for the Navier-Stokes equations with nonlinear slip boundary conditions and high Reynolds number. We provide one-level and two-level schemes based on this stability algorithm. The two-level schemes involve solving a subgrid stabilized nonlinear coarse mesh inequality system by applying m Oseen iterations, and a standard one-step Newton linearization problems without stabilization on the fine mesh. We analyze the stability of the proposed algorithm and provide error estimates and parameter scalings. Numerical examples are given to confirm our theoretical findings.Xiaoxia DaiChengwei ZhangVilnius Gediminas Technical Universityarticlenavier-stokes equationsnonlinear slip boundary conditionssubgrid stabilizationtwo-level methoderror estimateMathematicsQA1-939ENMathematical Modelling and Analysis, Vol 26, Iss 4, Pp 528-547 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	navier-stokes equations nonlinear slip boundary conditions subgrid stabilization two-level method error estimate Mathematics QA1-939
spellingShingle	navier-stokes equations nonlinear slip boundary conditions subgrid stabilization two-level method error estimate Mathematics QA1-939 Xiaoxia Dai Chengwei Zhang A subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions
description	In this paper, we consider a subgrid stabilized Oseen iterative method for the Navier-Stokes equations with nonlinear slip boundary conditions and high Reynolds number. We provide one-level and two-level schemes based on this stability algorithm. The two-level schemes involve solving a subgrid stabilized nonlinear coarse mesh inequality system by applying m Oseen iterations, and a standard one-step Newton linearization problems without stabilization on the fine mesh. We analyze the stability of the proposed algorithm and provide error estimates and parameter scalings. Numerical examples are given to confirm our theoretical findings.
format	article
author	Xiaoxia Dai Chengwei Zhang
author_facet	Xiaoxia Dai Chengwei Zhang
author_sort	Xiaoxia Dai
title	A subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions
title_short	A subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions
title_full	A subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions
title_fullStr	A subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions
title_full_unstemmed	A subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions
title_sort	subgrid stabilized method for navier-stokes equations with nonlinear slip boundary conditions
publisher	Vilnius Gediminas Technical University
publishDate	2021
url	https://doaj.org/article/e0af2ae33de6402d9604516c1703d95a
work_keys_str_mv	AT xiaoxiadai asubgridstabilizedmethodfornavierstokesequationswithnonlinearslipboundaryconditions AT chengweizhang asubgridstabilizedmethodfornavierstokesequationswithnonlinearslipboundaryconditions AT xiaoxiadai subgridstabilizedmethodfornavierstokesequationswithnonlinearslipboundaryconditions AT chengweizhang subgridstabilizedmethodfornavierstokesequationswithnonlinearslipboundaryconditions
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A subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions

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