1988
DOI: 10.1029/jc093ic12p15619
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Modeling ice dynamics of coastal seas

Abstract: A coupled sea ice, barotropic ocean model with a 1-km resolution and a seaward domain of 200 km quantifies three coastal processes' coupling of ice motion to wind-driven coastal currents, ice thickness redistribution under compaction at the coast, and formation of coastal shear zones. The model consists of an ice momentum balance, mass concentration and two-parameter ice thickness distribution, and equations for horizontal water motion and continuity using vertical structure functions. An appropriate constitut… Show more

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Cited by 81 publications
(46 citation statements)
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“…The similarity in distribution of the low-value areas is thought to be brought about by physical causes related to internal ice stress. In general, the internal ice stress gradient depends on the ice thickness and concentration (Hibler 1979;Overland and Pease 1988). Thick ice and high ice concentration near the coast cause a large ice stress gradient and enhance nonlinear effects in sea ice, which lead to a small r 2 and act to suppress ice motion, and hence, lower the value of F (Steele et al 1997).…”
Section: Summary and Discussionmentioning
confidence: 99%
“…The similarity in distribution of the low-value areas is thought to be brought about by physical causes related to internal ice stress. In general, the internal ice stress gradient depends on the ice thickness and concentration (Hibler 1979;Overland and Pease 1988). Thick ice and high ice concentration near the coast cause a large ice stress gradient and enhance nonlinear effects in sea ice, which lead to a small r 2 and act to suppress ice motion, and hence, lower the value of F (Steele et al 1997).…”
Section: Summary and Discussionmentioning
confidence: 99%
“…Typical values for n used in the literature are n = 1 (Hibler 1979), n = 3/2 (Hopkins 1998;Wilchinsky, Feltham & Miller 2006) and n = 2 (Rothrock 1975;Overland & Pease 1988). Note that some of the parameterisations just cited use a P that is not constant but depends on other ice field variables.…”
Section: Continuous Model Formulationmentioning
confidence: 99%
“…Non-linearly viscous fluid models are usually derived from a general form of the Reiner-Rivlin constitutive equation (Chadwick 1999). In the context of sea ice applications, the first viscous fluid model was formulated by Smith (1983) and subsequently extended by Overland and Pease (1988) and a few other authors, including Gray and Morland (1994), Morland and Staroszczyk (1998) and Schulkes et al (1998). In general, the Reiner-Rivlin constitutive law expresses the Cauchy stress as a quadratic function of the strain-rate tensor and its three independent invariants.…”
Section: Constitutive Description Of Sea Icementioning
confidence: 99%
“…Note that (26) is, in general, a non-linear law, since the viscosities ζ and µ are the functions of the strain-rate invariants η and γ. An example of the non-linearly viscous rheology is the constitutive model proposed by Overland and Pease (1988), in which the function φ 1 is assumed to depend on the state variables h and A, and the function φ 2 (describing the deviatoric stress) depends on the shear-rate invariant γ. With the specific forms of φ 1 and φ 2 considered by Schulkes et al (1998)…”
Section: Constitutive Description Of Sea Icementioning
confidence: 99%