Variational multiscale framework for cavitating flows

A numerical formulation for the modeling of turbulent cavitating flows is presented. The flow field is governed by the 3D, time-dependent Navier–Stokes equations for a compressible isothermal mixture. The Arbitrary Lagrangian–Eulerian Variational Multiscale (ALE-VMS) formulation is adopted to model...

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Bibliographic Details
Published in:Computational mechanics 2020-07, Vol.66 (1), p.49-67
Main Authors: Bayram, A., Korobenko, A.
Format: Article
Language:English
Subjects:
Aerodynamics
Boundary conditions
Cavitation
Cavitation number
Classical and Continuum Physics
Comparative analysis
Compressibility
Computational fluid dynamics
Computational Science and Engineering
Computer simulation
Domains
Engineering
Forebodies
Mathematical models
Original Paper
Theoretical and Applied Mechanics
Time dependence
Turbines
Turbulent flow
Two dimensional flow
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Summary:A numerical formulation for the modeling of turbulent cavitating flows is presented. The flow field is governed by the 3D, time-dependent Navier–Stokes equations for a compressible isothermal mixture. The Arbitrary Lagrangian–Eulerian Variational Multiscale (ALE-VMS) formulation is adopted to model the turbulent flow on moving domains with no-slip boundary conditions imposed weakly. The formulation is first tested on the cavitating flow over a 2D NACA0012 airfoil and compared to published numerical results. Next, the framework is applied to the benchmark problem for the flow over a hemispherical fore-body. The numerical results are compared to the reported experimental data, showing a good agreement over the range of cavitation numbers. Finally, the simulation of a hydrokinetic turbine in cavitating flow at a low cavitation number is presented in order to test the stability of the formulation and the capability to handle real engineering problems involving turbulent cavitating flows on moving domains.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-020-01840-2