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Lagrangian formulations to solve free surface incompressible inviscid fluid flows

✍ Scribed by Sergio Rodolfo Idelsohn; Mario Alberto Storti; Eugenio Oñate

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
737 KB
Volume
191
Category
Article
ISSN
0045-7825

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✦ Synopsis

A particle method is presented for the solution of the incompressible inviscid ¯uid ¯ow equation using a Lagrangian formulation. The interpolated function are those used in ``meshless'' approximations and the time integration is introduced in a semi-implicit way by a fractional step method. In this manner, both classical stabilization terms used in incompressible Euler equations are unnecessary: numerical diusion for convective terms are unnecessary due to the Lagrangian formulation, and stabilization of pressure due to the incompressibility constraint for equal order interpolations is eliminated using the fractional step method.

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An implicit algorithm within the arbitra
An implicit algorithm within the arbitrary Lagrangian–Eulerian formulation for solving incompressible fluid flow with large boundary motions
✍ Nenad Filipovic; Srboljub Mijailovic; Akira Tsuda; Milos Kojic 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 605 KB

The objective of the paper is to present an implicit algorithm for incompressible fluid flow solution using the arbitrary Lagrangian-Eulerian (ALE) formulation and to investigate solution accuracy and stability of the algorithm. The governing equations of the implicit procedure are derived using iso