An analysis of 1-D smoothed particle hydrodynamics kernels (Q1917119)

The smoothed particle hydrodynamics (SPH) kernel is analyzed. Various methods of obtaining an objective measure of the quality and accuracy of the SPH kernel are addressed. The results of this work are two measures of merit, one for smooth data and one near shocks. In addition to the theory, twenty kernels are analyzed using the measure of merit demonstrating the general usefulness of the measure of merit and the individual kernels. In general, it was decided that bell-shaped kernels perform better than other shapes.