Ensemble Algorithm for Parametrized Flow Problems with Energy Stable Open Boundary Conditions

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 so...

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Veröffentlicht in:Journal of computational methods in applied mathematics Jg. 20; H. 3; S. 531 - 554
Hauptverfasser: Takhirov, Aziz, Waters, Jiajia
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Minsk De Gruyter 01.07.2020
Walter de Gruyter GmbH
Schlagworte:
65M60
76D05
Algorithms
Boundary conditions
Ensemble Simulations
Fluid dynamics
Incompressible Navier–Stokes Equations
Mathematical analysis
Open Boundary Conditions
Stability
ISSN:1609-4840, 1609-9389
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Beschreibung
Zusammenfassung: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.
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content type line 14
ISSN:1609-4840
1609-9389
DOI:10.1515/cmam-2018-0203