Citation: | Ji Shunying, Wang Anliang, Mi Lili, Liu Yu, Li Baohui. Modified discrete element model for sea ice dynamics and its applications in the Bohai Sea[J]. Haiyang Xuebao, 2015, 37(5): 54-67. doi: 10.3969/j.issn.0253-4193.2015.05.006 |
季顺迎,岳前进. 工程海冰数值模型及应用[M]. 北京:科学出版社,2011. Ji Shunying,Yue Qianjin. Engineering Sea Ice Numerical Model and its Application[M]. Beijing: Science Press,2011.
|
Holland M M,Stroeve J. Changing seasonal sea ice predictor relationships in a changing Arctic climate[J]. Geophysical Research Letters,2011,38: L18501.
|
Dempsey J P. Research trends in ice model[J]. International Journal of Solids and Structures,2000,37(2): 131-153.
|
Lepparanta M,Lensu M,Lu Q M. Shear flow of sea ice in the Marginal Ice Zone with collision theology[J]. Geophysica,1990,25(1/2):57-74.
|
Tremblay L B,Mysak L A. Modeling sea ice as a granular material,including the dilatancy effect[J]. Journal of Physical Oceanography,1997,27(2): 2342-2360.
|
OverLand J E,McNutt S L,Salo S,et al. Arctic sea ice sa a granular plastic[J]. Journal of Geophysical Research,1998,103(C10): 21845-21868.
|
Hibler W D. Sea ice fracturing on the large scale[J]. Engineering Fracture Mechanics,2001,68(4): 2013-2043.
|
Schulson E M. Compressive shear fault within arctic sea ice: Fracture on scale large and small[J]. Journal of Geophysical Research,2004,109(C07016): 1-23.
|
Hibler W D. A Dynimic Thermodynamic sea ice model[J]. Journal of Geophysical Oceanography,1979,9(3):817-846.
|
Zhang Z H,Lepparanta M. Modeling the influence of ice on sea level variations in the Baltic Sea[J]. Journal of Geophysical Research,1995,31(2): 31-45.
|
吴辉碇. 海冰的动力-热力过程的数学处理[J]. 海洋与湖沼,1991,20(4): 321-327. Wu Huiding. Mathematic representations of sea ice dynamic thermodynamic processes[J]. Oceanologia et Limnologia Sinica,1991,20(4): 321-327.
|
苏洁,吴辉碇,白珊,等. 渤海冰-海洋耦合模式:Ⅱ.个例试验[J]. 海洋学报,2005,27(2): 18-27. Su Jie,Wu Huiding,Bai Shan,et al. A coupled ice-ocean model for the Bohai Sea:Ⅱ. Case study[J]. Haiyang Xuebao,2005,27(2): 18-27.
|
Gutfraind R,Savage S B. Smoothed Particle Hydrodynamics for the simulation of broken-ice field: Mohr-Coulomb-Type rheology and frictional boundary conditions[J]. Journal of Computational Physics,1997,134(3): 203-215.
|
季顺迎,沈洪道,王志联,等. 基于Mohr-Coulomb准则的黏弹塑性海冰动力学本构模型[J]. 海洋学报,2005,27(4): 19-30. Ji Shunying,Shen Hongdao,Wang Zhilian,et al. A viscoelastic-plastic constitutive model with Mohr-Coulomb yielding criterion for sea ice dynamics[J]. Haiyang Xuebao,2005,27(4): 19-30.
|
Flato G M. A particle-in-cell sea-ice model[J]. Atmosphere and Oceanography,1993,31(3): 339-358.
|
Huang Z J,Savage S B.Particle-in-cell and finite difference approaches for the study of marginal ice zone problems[J]. Cold Regions Science and Technology,1998,28(1):1-28.
|
刘煜,吴辉碇,张占海,等. 基于质点-网格模式的海冰厚度变化过程数值模拟[J]. 海洋学报,2006,28(2): 14-21. Liu Yu,Wu Huiding,Zhang Zhanhai,et al. Modeling for the dynamic process of ice thickness variation using a particle-in-cell ice model[J]. Haiyang Xuebao,2006,28(2): 14-21.
|
Kubat I,Sayed M,Savage S,et al. Numerical simulations of ice thickness redistribution in the Gulf of St. Lawrence[J]. Cold Regions Science and Technology,2010,60(2): 15-28.
|
Zhang J,Rothrock D A. Effect of sea ice rheology in numerical investigations of climate[J]. Journal of Geophysical Research,2005,110: C08014.
|
Hutchings J K,Jasak H,Laxon S W. A strength implicit correction scheme for the viscous-plastic sea ice model[J]. Ocean Modelling,2004,7(2): 111-133.
|
Wang L R,Ikeda M. A Lagrangian description of sea ice dynamics using the finite element method[J]. Ocean Modelling,2004,7(3): 21-38.
|
Sulsky D,Schreyer H,Peterson K,et al. Using the material-point method to model sea ice dynamics[J]. Journal of Geophysical Research,2007,112: C02S90.
|
李海,季顺迎,沈洪道,等. 海冰动力学的混合拉格朗日-欧拉数值方法[J]. 海洋学报,2008,30(2):1-11. Li Hai,Ji Shunying,Shen Hongdao,et al. A hybrid Lagrangian-Eulerian numerical model for sea ice dynamics[J]. Haiyang Xuebao,2008,30(2):1-11.
|
Lemieux J F,Tremblay B,Sedlcek J,et al. Improving the numerical convergence of viscous-plastic sea ice models with the Jacobian-free Newton Krylov method[J]. Journal of Computational Physics,2010,229: 2840-2852.
|
Tsamados M,Feltham D L,Wilchinsky A V. Impact of a new anisotropic rheology on simulations of Arctic sea ice[J]. Journal of Geophysical Research,2013,doi: 10.1029/2012JC007990.
|
Coon M D,Knoke G S,Echert D C,et al. The architecture of an anisotropic elastic-plastic sea ice mechanics constitutive law[J]. Journal of Geophysical research,1998,103(C10): 21915-21925.
|
Hunk E C,Dukowicz J K. An elastic-viscous-plastic model for sea ice dynamics[J]. Journal of Physical Oceanography,1997,27(2): 1849-1867.
|
Losch M,Danilov S. On solving the momentum equations of dynamic sea ice models with implicit solvers and the elastic-viscous-plastic technique[J]. Ocean Modelling,2012,41(4): 42-52.
|
王刚,岳前进,李海,等. 基于SPH方法的渤海海冰动力学数值模拟[J]. 大连理工大学学报,2007,47(3): 323-328. Wang Gang,Yue Qianjin,Li Hai,et al. Numerical simulation of sea ice dynamics with Sph approach in Bohai Sea[J]. Journal of Dalian University of Technology,2007,47(3): 323-328.
|
Liu M B,Liu G R. Smoothed Particle Hydrodynamics(SPH): an overview and recent developments[J]. Archives of Computational Methods in Engineering,2010,17(3):25-76.
|
Dai M,Shen H H,Hopkins M A,et al. Wave rafting and the equilibrium pancake ice cover thickness[J]. Journal of Geophysical Research,2004,109: C07023.
|
Herman A. Influence of ice concentration and floe-size distribution on cluster formation in sea-ice floes[J]. Central European Journal of Physics,2012,10(3): 715-722.
|
Wilchinsky A V,Feltham D L. Rheology of discrete failure regimes of anisotropic sea ice[J]. Journal of Physical Oceanography,2012,42(4): 1965-1082.
|
季顺迎,李春花,刘煜. 海冰离散元模型的研究回顾及展望[J]. 极地研究,2012,24(4): 315-330. Ji Shunying,Li Chunhua,Liu Yi. A review of advances in sea-ice discrete element models[J]. Chinese Journal of Polar Research,2012,24(4): 315-330.
|
Rothrock D,Thomdike A S. Measuring the sea ice grian size distribution[J]. Journal of Geophysical Research,1984,89(C4):6477-6486.
|
Shen H H,Hibler W D,Lepparanta M. On applying granular flow theory to a deforming broken ice field[J]. Acta Mechanics,1986,63(3): 143-160.
|
Wichinsky A V,Feltham D L. Anisotropic model for granulated sea ice dynamics[J]. Journal of the Mechanics and Physics of Solids,2006,54(4):1147-1185.
|
Sedlacek J,Lemieux J F,Mysak L A,et al. The granular sea ice model in spherical coordinates and its application to a global climate model[J]. Journal of Climate,2007,20(1):5946-.5961.
|
Hopkins M A,Frankenstein S,Thorndike A S. Formation of an aggregate scale in Arctic sea ice[J]. Journal of Geophysical Research,2004,109: C01032.
|
Hopkins M A,Thorndike A S. Floe formation in Arctic sea ice[J]. Journal of Geophysical Research,2006,111: C11S23.
|
Shen H T,Shen H H,Tsai S M. Dynamic transport of river ice[J]. Journal of Hydraulic research,1990,28(6): 659-671.
|
Babic M,Shen H H,Shen H T. The stress tensor in granular shear flows of uniform,deformable disks at high solids concentrations[J]. Journal of Fluid Mechanics,1990,219(4): 81-118.
|
Pariset E,Hausser R,Gagnon A. Formation of ice cover and ice jams in rivers[J]. Journal of Hydraulics Division,ASCE,1966,92(HY6):1-24.
|
沈洪道. 冰动力学的拉格朗日离散元模式[J]. 海洋预报,1999,16(3): 71-84. Shen Hongdao. Lagrangian discrete-parcel model for ice dynamics[J].Marine Forecasts,1999,16(3): 71-84.
|
季顺迎,王安良,王宇新,等. 渤海海冰现场监测的数字图像技术及其应用[J]. 海洋学报,2011,33(4): 79-87. Ji Shunying,Wang Anliang,Wang Yuxin,et al. A digital image technology and its application for the sea ice field observation in the Bohai Sea[J]. Haiyang Xuebao,2011,33(4): 79-87.
|
Kwok R,Cunningham G F. ICES at over Arctic sea ice: Estimation of snow depth and ice thickness[J]. Journal of Geophysical Research,2008,113:C08010.
|
Sun B,Wen J,He M,et al. Sea ice thickness measurement and its underside morphology analysis using radar penetration in the Arctic Ocean[J]. Science China,2003,46(11): 1151-1160.
|