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Research Papers: Offshore Technology

A Numerical Study on Stratified Shear Layers With Relevance to Oil-Boom Failure

[+] Author and Article Information
David Kristiansen

SINTEF Fisheries and Aquaculture AS,
Trondheim 7465, Norway
e-mail: david.kristiansen@sintef.no

Odd M. Faltinsen

Centre for Autonomous Marine Operations
and Systems (AMOS),
Department of Marine Technology,
NTNU,
Trondheim 7491, Norway

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received June 15, 2014; final manuscript received April 29, 2015; published online May 28, 2015. Assoc. Editor: Sergio H. Sphaier.

J. Offshore Mech. Arct. Eng 137(4), 041301 (Aug 01, 2015) (8 pages) Paper No: OMAE-14-1062; doi: 10.1115/1.4030527 History: Received June 15, 2014; Revised April 29, 2015; Online May 28, 2015

Interface dynamics of two-phase flow, with relevance for leakage of oil retained by mechanical oil barriers, is studied by means of a two-dimensional (2D) lattice-Boltzmann method (LBM) combined with a phase-field model for interface capturing. A multirelaxation-time (MRT) model of the collision process is used to obtain a numerically stable model at high Reynolds number flow. In the phase-field model, the interface is given a finite but small thickness, where the fluid properties vary continuously across a thin interface layer. Surface tension is modeled as a volume force in the transition layer. The numerical model is implemented for simulations with the graphic processing unit (GPU) of a desktop personal computer. Verification tests of the model are presented. The model is then applied to simulate gravity currents (GCs) obtained from a lock-exchange configuration, using fluid parameters relevant for those of oil and water. Interface instability phenomena are observed, and obtained numerical results are in good agreement with theory. This work demonstrates that the numerical model presented can be used as a numerical tool for studies of stratified shear flows with relevance to oil-boom failure.

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References

Figures

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Fig. 1

Stokes first problem. Comparison of velocity profile obtained from present numerical simulations with theoretical profile for nondimensional times T=tU2/ν.

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Fig. 2

Pressure difference inside and outside a stationary bubble. Comparison between numerical simulations and theory.

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Fig. 3

Wave celerity for gravity capillary waves. Comparison between numerical simulations and theory.

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Fig. 4

Vorticity field in units of s-1 for different instability modes of stratified shear layers. The interface is shown as a solid line. (a) KH mode: J = 0.09 and β = −0.074, (b) symmetric Holmboe mode: J = 0.26 and β = −0.074, and (c) asymmetric Holmboe mode: J = 0.26 and β = −0.57.

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Fig. 5

Interface profiles and vorticity field from numerical simulations of lock-exchange test with different density ratios γ and asymmetry parameter β. Results are shown at nondimensional times tg(1-γ)/H={0.586,1.17,1.76,2.34,2.93}: (a) γ = 0.993 and β = −0.074, (b) γ = 0.993 and β = −0.57, (c) γ = 0.950 and β = −0.074, (d) γ = 0.950 and β = −0.57, (e) γ = 0.870 and β = −0.074, and (f) γ = 0.870 and β = −0.57

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Fig. 6

Froude number of GCs. Comparison between numerical simulations, experiments, and theory.

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