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Viscous-Plastic sea-ice solutions with Elastic-Viscous-Plastic sea-ice solvers

机译:具有弹性粘性塑料海冰解决方案的粘性塑料海冰解决方案

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摘要

Most dynamic sea ice models for climate type simulations are based on the viscous-plastic (VP) rheology. The resulting stiff system of partial differential equations for ice velocity is either solved implicitly at great computational cost, or explicitly with added pseudo-elasticity (elastic- viscous-plastic, EVP). The more popular, because apparently faster EVP scheme has been found to create noisy solutions that do not converge to the VP rheology. A slight modification re- interprets EVP as a pseudotime VP solver and thus salvages the convergence to VP. In addition, the modification regularizes the EVP solutions so that they can be used in climate simulations at relatively low cost compared to efficient implicit methods. We present comparisons of two variants of the new EVP scheme with converged VP solution in Arctic. At coarse resolution (grid cell width of about 27km), the EVP solutions are very similar to the VP solutions. At higher resolution (4.5km), convergence of all schemes is more difficult to achieve and the solutions are obviously different.
机译:用于气候类型模拟的大多数动态海冰模型都是基于粘塑性(VP)流变学的。所产生的用于冰速度的偏微分方程的刚性系统要么以高昂的计算成本来隐式求解,要么以增加的拟弹性(弹性-粘塑性,EVP)显式求解。因为发现了更快的EVP方案,所以创建了更流行的噪声解决方案,这些解决方案无法收敛到VP流变学。稍加修改便将EVP重新解释为伪时间VP解算器,从而挽救了VP的收敛性。此外,修改使EVP解决方案正规化,因此与有效的隐式方法相比,它们可以以相对较低的成本用于气候模拟。我们将比较新的EVP方案的两个变体与Arctic中的融合VP解决方案。在粗分辨率下(网格单元宽度约为27 km),EVP解决方案与VP解决方案非常相似。在更高的分辨率(4.5 km)下,所有方案的收敛都更加困难,解决方案也明显不同。

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