多区域耦合分布参数系统辨识与应用  

Identification and Application of the Multi-domain Coupled Distributed Parameter System of Arctic Ice

作　　者：冯恩民[1] 方海鹏[1] 李志军[2] 

机构地区：[1]大连理工大学数学系,辽宁大连116024 [2]大连理工大学土木系,辽宁大连116024

出　　处：《应用基础与工程科学学报》2008年第2期153-160,共8页Journal of Basic Science and Engineering

基　　金：国家自然科学基金资助(No．10471014、No．40233032、No．2003DEB5J057、No．10671126)

摘　　要：根据北极雪、冰及海水各层温度变化特征,建立多区域温度场耦合热力学系统及各区域热力学参数辨识模型.利用区域分解法论述了北极雪、冰及海水各子区域温度场耦合热力学系统弱解的存在性、关于热力学参数的依赖性及可辨识性.构造优化算法,根据实测温度数据计算了北极雪、冰及海水各区域的热力学参数,得到北极雪、冰、海水各层温度分布的数值计算结果,并同实测结果进行了对比,表明了该算法的有效性.Studies the multi-domain coupled distributed parameter system of temperature field and establishes identification model of the thermodynamics parameters （heat storage capacity, density, thermal conductivity） based on the characteristics of temperature distribution of Arctic snow, ice and sea water. According to the domain decomposition method, the existence of the weak solution, the dependability and the identification of parameters of the sub-domain coupled dynamic system have been proved. Furthermore, the optimal algorithm for this system is established. By using this optimal algorithm, the thermodynamics parameters of Arctic snow, ice and water are obtained and the numerical results of temperature distribution in the inner of Arctic snow, ice and water are demonstrated.

关 键 词：耦合热力学系统 分布参数 区域分解 北极冰 

分 类 号：O231[理学—运筹学与控制论] O221[理学—数学]