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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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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)
- Urheber
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Gunzburger, Max
Jiang, Nan
Wang, Zhu
- DOI
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10.1515/cmam-2017-0051
- URN
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urn:nbn:de:101:1-2410251714262.540285391213
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:33 MESZ
Datenpartner
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Beteiligte
- Gunzburger, Max
- Jiang, Nan
- Wang, Zhu