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arXiv · 1808.09131

Ensemble algorithm for parametrized flow problems with energy stable open boundary conditions

Aziz Takhirov·Jiajia Waters
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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.

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Aziz Takhirov, Jiajia Waters. 2019-08-02. Ensemble algorithm for parametrized flow problems with energy stable open boundary conditions. https://doi.org/10.1515/cmam-2018-0203

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