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通常的过滤二格距波长波动的平滑算子具有以下几个缺点,(1)进行一次平滑运算则能使除二格距波动以外的波动强度有不同程度的削弱,对于中短波而言,影响更大.(2)如果要减低波动强度削弱的程度,可以利用多点平滑算子,但这将引入边界如何处理的麻烦,而且边界误差将传入域内.(3)利用平滑后的物理量来计算差分,则有较未经平滑的差分为大的截断误差.本文就是为了克服上述缺点而设计了一个简便的平滑算子,并给出了数值例子,证明它是有一定成效的。
The usual smoothing algorithm of filtering the two wavelengths from the wavelength fluctuation has the following disadvantages: (1) Performing a smoothing operation can make the intensity of the fluctuation other than the fluctuation of two grids weakened to some extent; for medium and short wave, the influence (2) If we want to reduce the intensity of the wave weakening, we can use the multi-point smoothing operator, but this will introduce the problem of how to deal with the boundary and the boundary error will be introduced into the domain. (3) By using the smoothed physical quantity In order to overcome the shortcomings mentioned above, a simple smoothing operator is designed and numerical examples are given to prove that it has a certain effect.