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Modeling Sea Ice Transport Using Incremental Remapping

机译:使用增量重映射建模海冰运输

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Sea ice models contain transport equations for the area, volume, and energy of ice and snow in various thickness categories. These equations typically are solved with first-order-accurate upwind schemes, which are very diffusive; with second-order-accurate centered schemes, which are highly oscillatory; or with more sophisticated second-order schemes that are computationally costly if many quantities must be transported [e.g., multidimensional positive-definite advection transport algorithm (MPDATA)]. Here an incremental remapping scheme, originally designed for horizontal transport in ocean models, is adapted for sea ice transport. This scheme has several desirable features: it preserves the monotonicity of both conserved quantities and tracers; it is second-order accurate except where the accuracy is reduced locally to preserve monotonicity; and it efficiently solves the large number of equations in sea ice models with multiple thickness categories and tracers. Remapping outperforms the first-order upwind scheme and basic MPDATA scheme in several simple test problems. In realistic model runs, remapping is less diffusive than the upwind scheme and about twice as fast as MPDATA.
机译:海冰模型包含各种厚度类别中冰雪的面积,体积和能量的运输方程。通常用一阶精确的迎风方案求解这些方程,这很容易扩散。具有高度振荡的二阶精确居中方案;或采用更复杂的二阶方案(如果必须运输很多数量,则在计算上会非常昂贵)(例如,多维正定对流运输算法(MPDATA))。在这里,最初为海洋模型中的水平运输设计的增量重新映射方案适用于海冰运输。该方案具有几个理想的功能:它既保留了守恒量又保留了示踪剂的单调性。它是二阶精确度,除非在本地降低了精度以保持单调性;并有效地解决了具有多个厚度类别和示踪剂的海冰模型中的大量方程。在一些简单的测试问题中,重新映射的性能优于一阶迎风方案和基本MPDATA方案。在实际的模型运行中,重新映射的扩散性不如迎风方案,并且大约是MPDATA的两倍。

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