scholarly journals A fluid approximation for large-scale service systems

2010 ◽  
Vol 38 (2) ◽  
pp. 27-29
Author(s):  
Yunan Liu ◽  
Ward Whitt
2015 ◽  
Vol 75 (2) ◽  
pp. 787-812 ◽  
Author(s):  
A.J.E.M. Janssen ◽  
J.S.H. van Leeuwaarden ◽  
B.W.J. Mathijsen

1990 ◽  
Vol 14 ◽  
pp. 72-77 ◽  
Author(s):  
G.M. Flato ◽  
W.D. Hibler

Sea-ice motion and dynamic thickness build-up play an important role in the transfer of heat between the ocean and the atmosphere and so must be included in large-scale climate studies. A “cavitating-fluid” approximation allows these dynamic processes to be parameterized in a simple way by ignoring shear and tensile strength yet retaining compressive strength. A simple procedure for approximating a cavitating fluid is presented here and is compared to the more complete viscous-plastic sea-ice model by performing several three year simulations with daily varying and monthly average wind forcing. Although differences exist on a monthly basis, the two models compare favourably over a seasonal cycle, particularly when compared to a thermodynamics only model in which ice motion is ignored. The lack of shear strength in a cavitating-fluid approximation makes it less sensitive to smoothing of the wind fields (as demonstrated by the monthly average wind simulations); however it also changes the detailed circulation and thickness build-up patterns somewhat. Overall, the cavitating-fluid approximation shows considerable promise for including sea-ice dynamics in large-scale climate models, especially where averaged wind fields are employed.


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