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Numerical Solution of Unsteady Ekman Equation Modified by Wave and Linear Friction Term

机译:波和线性摩擦术语不稳定Ekman方程的数值解

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Based on the assumption that taking the KPP model as the vertical vortex viscosity coefficient, the unsteady Ekman equation modified by wave and linear friction terms is solved numerically with the finite difference method and the influence of wave and linear friction terms on the unsteady Ekman current are studied. Based on the measured data of AWAC, the Stokes drift is calculated by the Stokes drift formula; and on the basis of the measured data of wind speed, the average wind speed of the 3 hours is divided into three different sections: low wind speed (0~4) m/s, medium -low wind speed (4~8) m/s and medium-high wind speed (8~12) m/s. The results show that: Stokes drift has the greatest impact on Ekman current under the low wind speed, which is accounted for 27.4%, the second is under the medium-low wind speed of 7.5%, and the smallest effect is under the medium-high wind speed of 4.2%. In additon, the effect of linear friction term on Ekman current is also studied. It is shown that under the medium-high wind speed and the medium-low wind speed, together with the ratio of the linear friction term to the Coriolis force is, the influence of the linear friction term on the Ekman current has exceeded that of the Stokes drift on the Ekman current; while under the low wind speed, the effect of linear friction term on Ekman current can not exceed that of Stokes drift on Ekman current until. Furthermore, the comparison between the numerical solution and the actual measured data also shows different characteristics. In the perspective of relevance, the correlation between the numerical simulation results and the measured data is above 0.7 under the medium-high wind speed, which is higher than the correlation between the both of 0.4~0.5 under the low wind speed and the medium-low wind speed; and in the perspective of the root mean square deviation degree, the root mean square deviation between the numerical simulation results and the measured data under the medium-high wind speed is lower than that under the low wind speed and the medium -low wind speed. The above results show that the influence of Stokes drift, linear friction term and the unsteady wind on Ekman model can not be ignored.
机译:基于以kpp模型作为垂直涡流粘度系数的假设,通过波和线性摩擦术语修改的不稳定Ekman方程是用有限差分方法和线性摩擦术语对不稳定的ekman电流的影响来解决研究过。基于AWAC的测量数据,Stokes漂移由Stokes漂移公式计算;并且在测量的风速数据的基础上,3小时的平均风速分为三个不同的部分:低风速(0〜4)M / s,中等 - 流风速(4〜8)m / s和中高风速(8〜12)m / s。结果表明:斯托克斯漂移对低风速下的ekman电流影响最大,占27.4%,第二个是低风速7.5%,最小的效果在介质下高风速4.2%。在附属物中,还研究了线性摩擦术语对ekman电流的影响。结果表明,在中高风速和中低风速下,与科里奥利力的线性摩擦术语的比率一起,线性摩擦术语对Ekman电流的影响已经超过了Stokes漂移在ekman电流上;虽然在低风速下,线性摩擦术语对ekman电流的影响不能超过ekman电流的斯托克斯漂移。此外,数值解决方案和实际测量数据之间的比较也显示了不同的特征。在相关性的角度下,在中高风速下,数值模拟结果和测量数据之间的相关性高于0.7,其高于低风速和介质的0.4〜0.5之间的相关性。风速低;并且在根均方偏差度的角度下,数值模拟结果与中高风速下的测量数据之间的根均方偏差低于低风速和介质 - 流风速。上述结果表明,斯托克斯漂移,线性摩擦项和ekman模型的不稳定风的影响不能忽视。

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