An improved corrective smoothed particle method approximation for second‐order derivatives

Conference Contribution

Korzilius, S.P., Schilders, W.H.A. & Anthonissen, M.J.H. (2013). An improved corrective smoothed particle method approximation for second‐order derivatives. 8th International Smoothed Particle Hydrodynamics European Research Interest Community Workshop (SPHERIC 2013, Trondheim, Norway, June 4-6, 2013) (pp. 38-43). Read more: Medialink/Full text

Abstract

 

To solve (partial) differential equations it is necessary to have good numerical approximations. In SPH, most approximations suffer from the presence of boundaries. In this work a new approximation for the second-order derivative is derived and numerically compared with two other approximation methods for a simple test case. The new method is slightly more expensive, but leads to a significantly improved accuracy.