Smoothed particle hydrodynamics

Since its introduction in the late 1970s by Lucy [11] and Gingold and Monaghan [4], smoothed particle hydrodynamics (SPH) has been used in many areas. It has grown into a widely-recognized technique with many practical applications. In this thesis, we present a new application of the SPH method: a new algorithm for computing a null divergence velocity field using SPH for incompressible flow - a pure SPH solution of the Helmholtz-Hodge decomposition. Also, a new version of the Laplacian for SPH is proposed and the advantages and disadvantages of different gradient and Laplacian approximation formulas used in SPH are also discussed. A new treatment of boundary conditions is proposed for the whole solution procedure. Throughout the thesis, a brief historical overview is presented, along with some fundamental notions about SPH and computational fluid dynamics.

Name thesis:degree_name

M. Sc.

Level thesis:degree_level

Maîtrise

Discipline thesis:degree_discipline

Informatique

Grantor dc:publisher

Université de Sherbrooke

Year dc:date.issued

2005

Author dc:creator

• Lin, Feng Ying

Advisors dc:contributor.advisor

• Egli, Richard
• Colin, Fabrice

Language dc:language.iso

en

Handle dc:identifier.uri

https://hdl.handle.net/11143/4654

OAI identifier oai:identifier

oai:usherbrooke.scholaris.ca:11143/4654