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首页> 外文期刊>SOLA: Scientific Online Letters on the Atmosphere >Non-Negative Filter Using Arcsine Transformation for Tracer Advection with Semi-Lagrangian Scheme
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Non-Negative Filter Using Arcsine Transformation for Tracer Advection with Semi-Lagrangian Scheme

机译:基于半拉格朗日方案的反正弦对流的反正弦非负滤波器

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References(16) Supplementary materials(1) A non-negative filter is developed to avoid negative values that may be produced in the interpolation of a non-conservative semi-Lagrangian advection scheme of tracers. Non-negativity is realized by a variable transformation with a function using arcsine. One-dimensional advection tests show that the proposed filter eliminates negative values of the mixing ratio and reduces error, whereas other non-negative filters (e.g., the global hole filling method) increase error. The variable transformation with the arcsine function efficaciously reduces the error in the region where the mixing ratio is zero, with a small counter effect to non-zero values. The proposed filter is very simple, so that it can be used in multi-dimensional schemes without modification and can be combined with other filters, such as a mass fixer and a monotonic filter.
机译:参考文献(16)补充材料(1)开发了非负滤波器,以避免在示踪剂的非保守半拉格朗日平流方案的插值中可能产生负值。通过使用反正弦函数进行变量变换来实现非负性。一维对流测试表明,所提出的滤波器消除了混合比的负值并减少了误差,而其他非负滤波器(例如,整体孔填充方法)则增加了误差。具有反正弦函数的变量变换有效地减小了混合比为零的区域中的误差,对非零值的反作用很小。所提出的过滤器非常简单,因此可以不加修改地用于多维方案,并且可以与其他过滤器(例如质量固定器和单调过滤器)组合使用。

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