Squire Vernon A
Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin 9016, New Zealand
Philos Trans A Math Phys Eng Sci. 2018 Sep 28;376(2129). doi: 10.1098/rsta.2017.0342.
Because of their capacity to alter floe size distribution and concentration and consequently to influence atmosphere-ocean fluxes, there is a compelling justification and demand to include waves in ice/ocean models and earth system models. Similarly, global wave forecasting models like WAVEWATCH III need better parametrizations to capture the effects of a sea ice cover such as the marginal ice zone on incoming wave energy. Most parametrizations of wave propagation in sea ice assume without question that the frequency-dependent attenuation which is observed to occur with distance travelled is exponential, i.e. = e This is the solution of the simple first-order linear ordinary differential equation d/d = - , which follows from an Airy wave mode ansatz [Formula: see text] Yet, in point of fact, it now appears that exponential decay may not be observed consistently and a more general equation of the type d/d = - is proposed to allow for a broader range of attenuation behaviours should this be necessary to fit data.This article is part of the theme issue 'Modelling of sea-ice phenomena'.
由于海浪能够改变浮冰大小分布和浓度,进而影响大气 - 海洋通量,因此在冰/海洋模型和地球系统模型中纳入海浪有着令人信服的理由和需求。同样,像WAVEWATCH III这样的全球海浪预报模型需要更好的参数化来捕捉海冰覆盖(如边缘冰区)对入射波能量的影响。大多数海冰中波传播的参数化都毫无疑问地假定,随传播距离观测到的频率依赖性衰减是指数形式的,即 = e 这是简单的一阶线性常微分方程d/d = - 的解,它源自艾里波模式假设[公式:见正文] 然而,事实上,现在看来指数衰减可能并非始终能观测到,因此提出了更一般的d/d = - 类型的方程,以便在需要拟合数据时考虑更广泛的衰减行为。本文是主题为“海冰现象建模”的一部分。