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Convergence of Velicity Blobs Method for the Euler Equation
Author(s) -
Benedetto Dario
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(199604)19:6<463::aid-mma777>3.0.co;2-c
Subject(s) - mathematics , formalism (music) , compressibility , hamiltonian (control theory) , euler's formula , mathematical analysis , semi implicit euler method , euler equations , backward euler method , physics , mathematical optimization , mechanics , art , musical , visual arts
A particles numerical method for incompressible fluid, based on a Hamiltonian formalism due to Oseledets [8], was recently introduced and exploited by Buttke [1]. Here we investigate the convergence of the solutions of such a particles system to the solutions of the incompressible Euler equation, and point out some features of the Hamiltonian formalism.