Several time discretization schemes for the incompressible Navier–Stokes equations (iNSE) in moving domains have been proposed. Here we introduce them in a unified fashion, allowing a common well posedness and time stability analysis. It can be therefore shown that only a particular choice of the numerical scheme ensures such properties. The analysis is performed for monolithic and Chorin–Temam schemes. Results are supported by numerical experiments.
|Tijdschrift||Applied Mathematics Letters|
|Status||Published - feb.-2021|