Enhancing SPH using moving least-squares and radial basis functions

Mathematics – Numerical Analysis

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

10 pages, 3 figures, In Proc. A4A5, Chester UK, Jul. 18-22 2005

Scientific paper

10.1007/978-3-540-46551-5_8

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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Enhancing SPH using moving least-squares and radial basis functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Enhancing SPH using moving least-squares and radial basis functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enhancing SPH using moving least-squares and radial basis functions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-357270

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.