Fig. 6

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Normalised Plummer potential gradient with and without a tapering function. In the SVSL method, the introduction of a tapering function (Eq. (29)) avoids the divergence of the Plummer potential. At the same time, the low tapering length, ds(= 3/127 ≃ 0.024) ensures that most of the SG contribution is not lost over short distances (dg ≤ 1.5). Under the CSL approach (red dotted), the gradient is cancelled out at the singularity, although most of the short distance contribution to the SG is lost.
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