Ensemble algorithm for parametrized flow problems with energy stable open boundary conditions
Numerical Analysis
2019-08-05 v3 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1808.09131,
title = {Ensemble algorithm for parametrized flow problems with energy stable open boundary conditions},
author = {Aziz Takhirov and Jiajia Waters},
journal= {arXiv preprint arXiv:1808.09131},
year = {2019}
}