Enhancing SPH using moving least-squares and radial basis functions

Brownlee, R. and Houston, Paul and Levesley, J. and Rosswog, S. (2005) Enhancing SPH using moving least-squares and radial basis functions.

[img]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
586Kb

Abstract

In this paper we consider two sources of enhancement for the meshfree Lagrangian particle method smoothed particle hydrodynamics (SPH) by improving the accuracy of the particle approximation. Namely, we will consider shape functions constructed using: moving least-squares approximation (MLS); radial basis functions (RBF). Using MLS approximation is appealing because polynomial consistency of the particle approximation can be enforced. RBFs further appeal as they allow one to dispense with the smoothing-length - the parameter in the SPH method which governs the number of particles within the support of the shape function. Currently, only ad hoc methods for choosing the smoothing-length exist. We ensure that any enhancement retains the conservative and meshfree nature of SPH. In doing so, we derive a new set of variationally-consistent hydrodynamic equations. Finally, we demonstrate the performance of the new equations on the Sod shock tube problem.

Item Type:Article
Schools/Departments:Faculty of Science > School of Mathematical Sciences
ID Code:217
Deposited By:Houston, Paul
Deposited On:25 Oct 2005
Last Modified:27 Jun 2011 11:27

Repository Staff Only: item control page