寒区湖泊冰下溶解氧浓度的数值模拟

Numerical simulation of dissolved oxygen concentration in icecovered lakes

根据芬兰Valkea-kotinen湖2011年1月14日至2011年4月3日冰下溶解氧浓度和温度的现场观测数据,利用分布参数系统参数辨识方法,对Golosov等人建立的淡水湖泊冰下溶解氧浓度一维偏微分方程模型中溶解氧湍流垂直交换系数进行优化辨识,得到了适应该湖泊的溶解氧湍流垂直交换系数值,并利用该溶解氧湍流垂直交换系数值模拟了Valkea-kotinen湖冰下溶解氧浓度随时间变化的情况。数值模拟结果与实测数据吻合良好,说明辨识出的Valkea-kotinen湖冰下溶解氧湍流垂直交换系数是准确有效的,该结果能对寒区冰下溶解氧浓度的数值模拟研究提供参考依据。

According to the observation date of dissolved oxygen concentration and temperation under ice in different depths in Finnish Valkea-kotinen from January 14,2011 to April 3,2011,the dissolved oxygen coefficient for the turbulent vertical mass exchange in a one—dimensional partial differential equation model describing the dissolved oxygen vertical distribution of concerning icecovered lakes,which is built by Golosov et al,is optimized and identified by using the distributed parameter system parameter identification method.Moreover,the identification parameter results are used to simulate dissolved oxygen concentration under the Valkea-kotinen with time.The numerical simulation results in this paper are in good agreement with the measured data,which confirms the accuracy and effectiveness of the dissolved oxygen coefficient for the turbulent vertical mass exchange.The results give a reference to numerical simulation research under the cold lakes.