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.
Funding source: Natural Sciences and Engineering Research Council of Canada
Award Identifier / Grant number: 219949
Funding statement: The first author was supported by the National Science and Engineering Research Council of Canada, Discovery grant 219949.
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