文章基本信息

标题：Spectral discretization of time-dependent vorticity–velocity–pressure formulation of the Navier–Stokes equations
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作者：Mohamed Abdelwahed ; Nejmeddine Chorfi
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2020
卷号：2020
期号：1
页码：1
DOI：10.1186/s13661-020-01448-8
出版社：Hindawi Publishing Corporation
摘要：In this work, we propose a nonstationary Navier–Stokes problem equipped with an unusual boundary condition. The time discretization of such a problem is based on the backward Euler’s scheme. However, the variational formulation deduced from the nonstationary Navier–Stokes equations is discretized using the spectral method. We prove that the time semidiscrete problem and the full spectral discrete one admit at most one solution.
关键词：Nonstationary Navier–Stokes equations ; Vorticity–velocity–pressure formulation ; Implicit Euler’s scheme ; Spectral discretization