论文标题

高分辨率冰盖模拟的性能分析

Performance analysis of high-resolution ice sheet simulations

论文作者

Bueler, Ed

论文摘要

数值冰盖模型使用各种压力近似和边界条件来计算不断发展的冰几何形状和速度场。在高空间分辨率下,水平网/网格分辨率为几公里或更小,这些模型通常需要比气候耦合时间尺度短的时间步长,因为它们在每个速度溶液后都会更新冰厚度。高分辨率的性能因这种明确的时间步变的稳定性限制而降低了。此简短说明将浅冰的近似值并将模型视为压力终端成员,试图通过根据网格分辨率和自由度量来量化每个模型年度的模拟成本来阐明数值模型性能。评估了当前产生明确的时间步变模型的性能,然后将其与隐式方案的前瞻性性能进行了比较。表2的主要结果突出了压力平衡和隐式步骤求解器的算法缩放量表所扮演的关键角色。

Numerical ice sheet models compute evolving ice geometry and velocity fields using various stress-balance approximations and boundary conditions. At high spatial resolution, with horizontal mesh/grid resolutions of a few kilometers or smaller, these models usually require time steps shorter than climate-coupling time scales because they update ice thickness after each velocity solution. High-resolution performance is degraded by the stability restrictions of such explicit time-stepping. This short note, which considers the shallow ice approximation and Stokes models as stress-balance end members, attempts to clarify numerical model performance by quantifying simulation cost per model year in terms of mesh resolution and the number of degrees of freedom. The performance of current-generation explicit time-stepping models is assessed, and then compared to the prospective performance of implicit schemes. The main result, Table 2, highlights the key roles played by the algorithmic scaling of stress-balance and implicit-step solvers.

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