The Williams step increases the stability and accuracy of the hoRA time filter
The Williams step increases the stability and accuracy of the hoRA time filter
复制标题
Williams 步骤提高了 hoRA 时间滤波器的稳定性和准确性
DOI：
10.1016/j.apnum.2018.05.003
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发表时间：
2018
影响因子：
2.8
通讯作者：
C. Trenchea
中科院分区：
文献类型：
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作者：
A. Guzel;C. Trenchea
显式弱稳定二阶精度蛙跳格式与Robert-Asselin（RA）和Robert-Asselin-威廉姆斯（RAW）时间滤波器一起广泛应用于天气气候数值模式中。RA和RAW滤波器成功地抑制了与蛙跳方法相关的伪计算模式，但也对物理模式进行了弱阻尼，并将数值精度降低到一阶。最近的高阶Robert-Asselin（hoRA）时间滤波器减少了RA和RAW滤波器的非期望数值阻尼，并将精度提高到二阶至三阶。我们证明了蛙跳HoRA和威廉姆斯的步骤的组合增加了25%的稳定性，提高了物理模式的幅度的精度高达两个有效数字，有效地抑制计算模式，并进一步减少了数值阻尼的HoRA滤波器。
The explicit weakly-stable second-order accurate leapfrog scheme is widely used in the numerical models of weather and climate, in conjunction with the Robert–Asselin (RA) and Robert–Asselin–Williams (RAW) time filters. The RA and RAW filters successfully suppress the spurious computational mode associated with the leapfrog method, but also weakly damp the physical mode and degrade the numerical accuracy to first-order. The recent higher-order Robert–Asselin (hoRA) time filter reduces the undesired numerical damping of the RA and RAW filters and increases the accuracy to second up-to third-order. We prove that the combination of leapfrog-hoRA and Williams' step increases the stability by 25%, improves the accuracy of the amplitude of the physical mode up-to two significant digits, effectively suppresses the computational modes, and further diminishes the numerical damping of the hoRA filter.
影响因子：
2.1
作者：
通讯作者：
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