A second-order time-stepping scheme for simulating ensembles of parameterized flow problems
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Publication:2324376
DOI10.1515/CMAM-2017-0051zbMATH Open1421.76157arXiv1706.04060OpenAlexW2964327484MaRDI QIDQ2324376
Author name not available (Why is that?)
Publication date: 11 September 2019
Published in: (Search for Journal in Brave)
Abstract: We consider settings for which one needs to perform multiple flow simulations based on the Navier-Stokes equations, each having different values for the physical parameters and/or different initial condition data, boundary conditions data, and/or forcing functions. For such settings, we propose a second-order time accurate ensemble-based method that to simulate the whole set of solutions, requires, at each time step, the solution of only a single linear system with multiple right-hand-side vectors. Rigorous analyses are given proving the conditional stability and error estimates for the proposed algorithm. Numerical experiments are provided that illustrate the analyses.
Full work available at URL: https://arxiv.org/abs/1706.04060
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