粘塑性海冰流变模型的稳定性分析  

Stability analysis of the viscous plastic sea ice rheology model

作　　者：王光辉[1] 谷湘潜[1] 

机构地区：[1]中国气象科学研究院灾害天气国家重点实验室,北京100081

出　　处：《海洋通报》2011年第6期625-632,共8页Marine Science Bulletin

基　　金：中国自然科学基金(40875066;41075080)

摘　　要：对Hibler 1977提出的具有粘塑性本构关系的海冰模型进行了修改和稳定性分析。在已有的工作中,应用这样一个粘塑性本构关系进行数值积分时大多都必须引入人工扩散项。这里我们用数值逼近技巧提出计算相邻浮冰之间相互作用力的新方法,并且证明修改后的模型无论是海冰的收敛还是发散流动都是稳定的,模式积分无需引入人工扩散项。以二维结构为例给出了详细分析。Revision and stability analysis are carded out for a sea ice model with a viscous-plastic constitutive relation of Hibler （1977） in this paper. In the existing work, numerical model integration in many studies using this viscous-plastic constitute relation are only made possible by introducing an artificial diffusion. Here, we present a new way to compute the interaction force of adjacent sea ice floes by using a mathematical approximate method. The revised model is shown to be stable in all cases including both convergent and divergent flows. The need of artificial diffusion in model integration has now been removed. As an example, we present detailed analysis for a two-dimensional configuration.

关 键 词：海冰 流变模型 稳定性 椭圆屈服曲线 插值 

分 类 号：P731.15[天文地球—海洋科学]