Research output: Contribution to journal › Article › peer-review
Scale effects in internal wave attractors. / Brouzet, C.; Sibgatullin, I. N.; Ermanyuk, E. V. et al.
In: Physical Review Fluids, Vol. 2, No. 11, 114803, 17.11.2017.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Scale effects in internal wave attractors
AU - Brouzet, C.
AU - Sibgatullin, I. N.
AU - Ermanyuk, E. V.
AU - Joubaud, S.
AU - Dauxois, T.
PY - 2017/11/17
Y1 - 2017/11/17
N2 - As a necessary preliminary step toward geophysically significant extrapolations, we study the scale effects in internal wave attractors in the linear and nonlinear regimes. We use two geometrically similar experimental setups, scaled to factor 3, and numerical simulations (a spectral element method, based on the Nek5000 open solver) for a range of parameters that is typically accessible in laboratory. In the linear regime, we recover the classical viscous scaling for the beam width, which is not affected by variations of the amplitude of the input perturbation. In the nonlinear regime, we show that the scaling of the width-to-length ratio of the attractor branches is intimately related with the energy cascade from large-scale energy input to dissipation. We present results for the wavelength, amplitude, and width of the beam as a function of time and as a function of the amplitude of the forcing.
AB - As a necessary preliminary step toward geophysically significant extrapolations, we study the scale effects in internal wave attractors in the linear and nonlinear regimes. We use two geometrically similar experimental setups, scaled to factor 3, and numerical simulations (a spectral element method, based on the Nek5000 open solver) for a range of parameters that is typically accessible in laboratory. In the linear regime, we recover the classical viscous scaling for the beam width, which is not affected by variations of the amplitude of the input perturbation. In the nonlinear regime, we show that the scaling of the width-to-length ratio of the attractor branches is intimately related with the energy cascade from large-scale energy input to dissipation. We present results for the wavelength, amplitude, and width of the beam as a function of time and as a function of the amplitude of the forcing.
KW - ROTATING SPHERICAL-SHELL
KW - VIBRATING ELLIPTIC CYLINDERS
KW - SPECTRAL ELEMENT METHODS
KW - INERTIAL WAVES
KW - NUMERICAL SIMULATIONS
KW - TRAPPED OSCILLATIONS
KW - SYNTHETIC SCHLIEREN
KW - PART 1
KW - FLUID
KW - INSTABILITY
UR - http://www.scopus.com/inward/record.url?scp=85038444496&partnerID=8YFLogxK
U2 - 10.1103/PhysRevFluids.2.114803
DO - 10.1103/PhysRevFluids.2.114803
M3 - Article
AN - SCOPUS:85038444496
VL - 2
JO - Physical Review Fluids
JF - Physical Review Fluids
SN - 2469-990X
IS - 11
M1 - 114803
ER -
ID: 9645130