We present a stabilized virtual element method (VEM) for the unsteady incompressible Navier–Stokes equations. In this work, the concepts of stabilized methods are introduced into the VEM formulation. Thus, the variational form is enriched with stabilization terms that enable to circumvent the Babuška–Brezzi condition and to stabilize the solution for convection dominated flows. Numerical examples are presented to show the behavior of the method.

中文翻译：

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不稳定的不可压缩Navier–Stokes方程的稳定虚拟元素方法

对于不稳定的不可压缩的Navier–Stokes方程，我们提出了一种稳定的虚拟元素方法（VEM）。在这项工作中，将稳定化方法的概念引入VEM公式中。因此，变分形式富含稳定项，可以绕开Babuška-Brezzi条件，并稳定对流主导流的解。数值例子表明了该方法的性能。