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Variational formulation of fractional step methods in SPH fluid mechanics applications

Kulasegaram, Sivakumar ORCID: and Bonet, Javier 2004. Variational formulation of fractional step methods in SPH fluid mechanics applications. Presented at: 4th European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS 2004, Jyväskylä, Finland, 24-28 Jul 2004.

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A fractional step projection method is introduced here to achieve incompressibility in the SPH method. Fractional step method is a popular approach used to solve incompressible fluid dynamics problems in traditional grid based methods and involves a two-step process to achieve incompressibility. Essentially, the velocity update over a time step is split into a component that does not take into account the divergence free condition, plus a pressure correction term which restores the incompressibility of the velocity. This paper mainly focuses on the variational formulation of fractional step method for SPH fluid applications by presenting a detailed description of the formulation of governing equations.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords: Meshless method ; SPH ; variational formulations ; fractional step method ; dynamic problems
Last Modified: 17 Oct 2022 09:40

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