Abstract We propose novel ensemble calculation methods for Navier–Stokes equations subject to various initial conditions, forcing terms and viscosity coefficients. We establish the stability of the schemes under a CFL condition involving velocity fluctuations. Similar to related works, the schemes require solution of a single system with multiple right-hand sides. Moreover, we extend the ensemble calculation method to problems with open boundary conditions, with provable energy stability.

中文翻译：

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具有能量稳定开放边界条件的参数化流动问题的集成算法

摘要 我们针对受各种初始条件、强迫项和粘度系数影响的 Navier-Stokes 方程提出了新的集成计算方法。我们在涉及速度波动的 CFL 条件下建立了方案的稳定性。与相关工作类似，这些方案需要解决具有多个右侧的单个系统。此外，我们将集成计算方法扩展到具有开放边界条件的问题，并具有可证明的能量稳定性。