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An efficient retrospective optimal interpolation algorithm compared with the fixed-lag Kalman smoother by assuming a perfect model

机译：通过假设理想模型，与固定滞后卡尔曼平滑器相比，一种有效的回顾性最佳插值算法

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摘要

We developed an efficient retrospective optimal interpolation (ROI) algorithm by which we can avoid the overlap of model integration periods, which appears in the procedure of evolving a previous analysis error covariance. If the fixed-lag Kalman smoother (FLKS) is used to determine the analysis state at the beginning of the fixed analysis window as is done for ROI, the FLKS can be considered a suboptimal version of the efficient ROI when the involved model is non-linear and has no errors. We confirm that the efficient ROI analyses are more accurate than the FLKS analyses with the increase of the analysis window size. Nevertheless, the computation costs for implementing efficient ROI are almost the same as those for FLKS. Additionally, the reduced-rank version of the efficient ROI is developed based on the accuracy-saturation property.rnFrom the experiments using Lorenz 3-variable model, it is confirmed that the non-linearity of numerical model, which becomes stronger with the increase of the analysis window size, makes the analysis of efficient ROI more accurate than that of FLKS. Our Lorenz 40-variable experiments show that the average analysis error of the efficient ROI is smaller than that of the FLKS for an analysis window size of up to 4 d. However, the efficient ROI and the FLKS requires almost the same costs for computation. From the results of Lorenz 40-variable model experiments, it is suggested that, by using the reduced-rank formulation of the efficient ROI, we can obtain the suboptimal analysis more cost-effectively rather than FLKS.
机译：我们开发了一种有效的回顾性最佳插值（ROI）算法，通过该算法，我们可以避免模型积分周期的重叠，这种重叠出现在演变先前的分析误差协方差的过程中。如果像固定投资回报率那样使用固定滞后卡尔曼平滑器（FLKS）来确定固定分析窗口开始时的分析状态，则当涉及的模型不是非固定收益时，可以将FLKS视为有效投资回报率的次优版本线性并且没有错误。我们确认，随着分析窗口大小的增加，有效的ROI分析比FLKS分析更准确。但是，实现有效ROI的计算成本与FLKS几乎相同。此外，基于精度-饱和度特性，开发了有效ROI的降秩版本。rn从使用Lorenz 3变量模型进行的实验中，可以确认数值模型的非线性随着非线性的增加而增强。分析窗口大小使有效ROI的分析比FLKS更加准确。我们的Lorenz 40变量实验表明，对于长达4 d的分析窗口，有效ROI的平均分析误差小于FLKS的平均分析误差。但是，有效的ROI和FLKS需要几乎相同的计算成本。根据Lorenz 40变量模型实验的结果，建议通过使用有效ROI的降秩公式，我们可以比FLKS更具成本效益地获得次优分析。

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  • 来源
    《Tellus》 |2009年第5期|610-620|共11页
  • 作者

    HYO-JONG SONG; GYU-HO LIM;

  • 作者单位

    School of Earth and Environmental Sciences, Seoul National University, Seoul 151-747, Republic of Korea;

    School of Earth and Environmental Sciences, Seoul National University, Seoul 151-747, Republic of Korea;

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