非线性海冰温度系统的热力学参数辨识和数值模拟

Numerical simulation and parameter identification of thermodynamics of the temperature field in the nonlinear system of the sea ice

根据北极海冰的热力学性质,以雪层、冰层和水层的热力学参数为控制变量,建立了北极海冰温度场的抛物型分布参数系统和参数辨识的最优控制模型,论述了该系统解的存在唯一性及最优控制的必要性条件,并采用半隐差分法和改进的Hooke-Jeeves算法进行参数辨识和数值模拟.

This article bases on the thermodynamic property of the Arctic sea ice, takes the thermodynamic parameters of snow, ice and water as control variables, establishes a parabolic distributed system and optimal control system of the temperature field of the Arctic sea ice, discusses the unique existence of the solution of this system and the necessary condition of the optimal control, and proposes Saul＇ ev algorithm and an improved Hooke-Jeeves algorithm last.