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

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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems ; volume:19 ; number:3 ; year:2019 ; pages:681-701 ; extent:21
Computational methods in applied mathematics ; 19, Heft 3 (2019), 681-701 (gesamt 21)

Creator
Gunzburger, Max
Jiang, Nan
Wang, Zhu

DOI
10.1515/cmam-2017-0051
URN
urn:nbn:de:101:1-2410251714262.540285391213
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:33 AM CEST

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Associated

  • Gunzburger, Max
  • Jiang, Nan
  • Wang, Zhu

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