Skip to main content

Research Repository

Advanced Search

Enhancing SPH using moving least-squares and radial basis functions

Brownlee, R.; Houston, Paul; Levesley, J.; Rosswog, S.

Authors

R. Brownlee

PAUL HOUSTON paul.houston@nottingham.ac.uk
Professor of Computational and Applied Maths

J. Levesley

S. Rosswog



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.

Journal Article Type Article
Publication Date Jan 1, 2005
Peer Reviewed Not Peer Reviewed
APA6 Citation Brownlee, R., Houston, P., Levesley, J., & Rosswog, S. (2005). Enhancing SPH using moving least-squares and radial basis functions
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

Files

brownlee_a4a5.pdf (600 Kb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





You might also like



Downloadable Citations

;