Ensemble algorithm for parametrized flow problems with energy stable open boundary conditions
Provides a more efficient approach for solving parametrized flow problems, but is incremental as it builds on existing ensemble methods.
Proposed ensemble methods for Navier-Stokes equations with varying parameters, achieving stability under a CFL condition and extending to open boundary conditions with provable energy stability.
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.