If x/h is reduced while maintaining constant h (i.e. For uniformly spaced particles in one dimension, analysis shows that as h is reduced while maintaining constant x/h, error decays as h2 until a limiting discretization error is reached, which is independent of h. Error is shown to depend on both the smoothing length h and the ratio of particle spacing to smoothing length, x/h. International Journal for Numerical Methods in Engineering, 66(13), 2064-2085.Ī truncation error analysis has been developed for the approximation of spatial derivatives in smoothed particle hydrodynamics (SPH) and related first-order consistent methods such as the first-order form of the reproducing kernel particle method. Truncation error in mesh-free particle methods.
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