ice effect on wave propagation in the marginal ice...
TRANSCRIPT
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Ice Effect on Wave Propagation in the Marginal Ice Zone
Hayley H. Shen
Xin Zhao
Sukun Cheng
Clarkson University
Collaborators: Erick Rogers (NRL)
Jim Thomson (Univ. Washington)
Sponsored by Office of Naval Research Grant #N000141310294
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Theories
• Thin elastic plate (1886)
• Mass loading (1950)
• Viscous layer (1998)
• Eddy viscosity (1988)
• Viscoelastic plate (1980)
• Viscoelastic layer (2010)
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Continuum theory
Thin elastic plate Disjointed mass points Viscous layer
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floes as mass points
Theories
Eddy viscosity
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Traditional dispersion relation
Given water depth h and wave frequency , determine wavenumber k , (thus also wave celerity C and wave group velocity Cg).
New dispersion relation
Given water depth h, wave frequency , and ice characteristics, determine wavenumber k , (thus also wave celerity C and wave group velocity Cg).
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Discrete theory
Scattering
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Theories
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• ki enters the model via the dynamics: determines attenuation rate (Sice,nc) • kr enters the model via the C and Cg calculations on the left-hand side of the governing equation. • code changes non-trivial • fundamentals are straightforward
…solution methods are not straightforward
ir ikkk
igncice kCES 2/,
Complex wavenumber (new approach)
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1. Modification of open-water source functions
2. Kinematics: ice changes wave length, propagation speeds: effects analogous to refraction and shoaling by bathymetry: addressed via kr
3. Source term (non-conservative): attenuation of waves: addressed via ki
4. Source term (conservative): scattering of waves by ice floes, leads
Review: effects of ice on waves
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a) IC0, SWH (m) b) IC1, SWH (m)
c) IC2, SWH (m) d) IC3, SWH (m)
Significant Wave Height (SWH) (m), 4 different Sice treatments AMOMFW2016 14
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a) Ice Fraction b) =IC1-IC0, (1b)-(1a)
c) =IC2-IC0, (1c)-(1a) d) =IC3-IC0, (1d)-(1a)
∆SWH (m), 3 different Sice treatments vs. WW3 v3.14 treatment AMOMFW2016 15
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Missing link
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What are their (G,)
values?
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A test in the Southern Ocean
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SeaState Program
• The ocean
• The atmosphere
• The wave and ice interaction
All in the marginal ice zone.
AR
CT
I C S E A S T AT
E
20
15
O
FF
IC
E O
F N A V A L RE
S
EA
RC
H
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AMSR2 ice conc. on 1 Oct 2015 AMSR2 ice con. on 1 Nov 2015
Beaufort Sea Ice Growth
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Guided by forecasts onboard
Wind (Ola Persson) Wave (Eric Rogers)
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and by remote sensing
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Cruise Track
8570 km AMOMFW2016 26
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The wave
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Ice
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Ice
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Ice observations by “ice observers”
See poster by Ackley et al., Tuesday 4pm
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Nov. 2
Oct. 11
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Oct. 4
Oct. 4
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Oct. 5
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Summary
• WAVEWATCH III now has five options to treat the Sice (four address non-conservative and one conservative)
• The fourth option IC3 is now being calibrated with field data, and will be tested with future data
• So far, it appears that IC3 is capable of capturing most of the wave spectra
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Thank you AMOMFW2016 42