A linear, stabilized, non-spatial iterative, partitioned time stepping method for the nonlinear Navier–Stokes/Navier–Stokes interaction model

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dc.contributor.authorLi, Jian
dc.contributor.authorHuang, Pengzhan
dc.contributor.authorSu, Jian
dc.contributor.authorChen, Zhangxin
dc.date.accessioned2019-07-07T00:08:52Z
dc.date.available2019-07-07T00:08:52Z
dc.date.issued2019-07-03
dc.date.updated2019-07-07T00:08:51Z
dc.description.abstractAbstract In this paper, a linear, stabilized, non-spatial iterative, partitioned time stepping method is developed and studied for the nonlinear Navier–Stokes/Navier–Stokes interaction. A backward Euler scheme is utilized for the temporal discretization while a linear Oseen scheme for the trilinear term is used to affect the spatial discretization approximated by the equal order elements. Therefore, we only solve a linear Stokes problem without spatial iterative per time step for each individual domain. Then, the method exploits properties of the Navier–Stokes/Navier–Stokes system to establish the stability and convergence by rigorous analysis. Finally, numerical experiments are presented to show the performance of the proposed method.
dc.identifier.citationBoundary Value Problems. 2019 Jul 03;2019(1):115
dc.identifier.doihttps://doi.org/10.1186/s13661-019-1220-2
dc.identifier.urihttp://hdl.handle.net/1880/110598
dc.identifier.urihttps://doi.org/10.11575/PRISM/44932
dc.language.rfc3066en
dc.rights.holderThe Author(s)
dc.titleA linear, stabilized, non-spatial iterative, partitioned time stepping method for the nonlinear Navier–Stokes/Navier–Stokes interaction model
dc.typeJournal Article
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