A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems

Gunzburger, Max; Jiang, Nan; Wang, Zhu

doi:10.1515/cmam-2017-0051

A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems

Journal Article · Mon Jul 01 04:00:00 EDT 2019 · Computational Methods in Applied Mathematics

DOI:https://doi.org/10.1515/cmam-2017-0051· OSTI ID:1611200

Gunzburger, Max ^[1]; Jiang, Nan; Wang, Zhu

DOE/OSTI

Abstract

We consider settings for which one needs to perform multiple flow simulations based on the Navier–Stokes equations, each having different initial condition data, boundary condition data, forcing functions, and/or coefficients such as the viscosity. 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 establishing error estimates for the proposed algorithm. Numerical experiments are provided that illustrate the analyses.

Research Organization:: Florida State Univ., Tallahassee, FL (United States); Univ. of South Carolina, Columbia, SC (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0009324; SC0016540

OSTI ID:: 1611200

Journal Information:: Computational Methods in Applied Mathematics, Journal Name: Computational Methods in Applied Mathematics Journal Issue: 3 Vol. 19; ISSN 1609-4840

Publisher:: de Gruyter

Country of Publication:: United States

Language:: English

References (16)

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