Enhancing SPH using moving least-squares and radial basis functions
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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
2005
|
| Online Access: | https://eprints.nottingham.ac.uk/217/ |
| _version_ | 1848790372026679296 |
|---|---|
| author | Brownlee, R. Houston, Paul Levesley, J. Rosswog, S. |
| author_facet | Brownlee, R. Houston, Paul Levesley, J. Rosswog, S. |
| author_sort | Brownlee, R. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:11:34Z |
| format | Article |
| id | nottingham-217 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:11:34Z |
| publishDate | 2005 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-2172020-05-04T20:30:43Z https://eprints.nottingham.ac.uk/217/ Enhancing SPH using moving least-squares and radial basis functions Brownlee, R. Houston, Paul Levesley, J. Rosswog, S. 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. 2005 Article NonPeerReviewed Brownlee, R., Houston, Paul, Levesley, J. and Rosswog, S. (2005) Enhancing SPH using moving least-squares and radial basis functions. |
| spellingShingle | Brownlee, R. Houston, Paul Levesley, J. Rosswog, S. Enhancing SPH using moving least-squares and radial basis functions |
| title | Enhancing SPH using moving least-squares and radial basis functions |
| title_full | Enhancing SPH using moving least-squares and radial basis functions |
| title_fullStr | Enhancing SPH using moving least-squares and radial basis functions |
| title_full_unstemmed | Enhancing SPH using moving least-squares and radial basis functions |
| title_short | Enhancing SPH using moving least-squares and radial basis functions |
| title_sort | enhancing sph using moving least-squares and radial basis functions |
| url | https://eprints.nottingham.ac.uk/217/ |