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 possedness 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.

中文翻译：

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关于运动域中不可压缩流的整体和Chorin-Temam方案

提出了运动域中不可压缩的Navier-Stokes方程（iNSE）的几种时间离散方案。在这里，我们以统一的方式介绍它们，从而可以进行常见的可能性和时间稳定性分析。因此可以证明，只有数字方案的特定选择才能确保这种特性。分析针对整体方案和Chorin-Temam方案。结果得到数值实验的支持。