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Vorticity‐velocity formulation for the Navier‐Stokes equations: The three‐dimensional case
Author(s) -
Medjo Theodore Tachim
Publication year - 1997
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199701)13:1<19::aid-num2>3.0.co;2-p
Subject(s) - vorticity , mathematics , navier–stokes equations , vorticity equation , mathematical analysis , dimension (graph theory) , stokes' law , space (punctuation) , vortex , stokes flow , physics , geometry , mechanics , compressibility , flow (mathematics) , pure mathematics , computer science , operating system
In this article, we propose a mixed method for the vorticity‐velocity formulation of the stationary Stokes and Navier‐Stokes equations in space dimension three, the unknowns being the vorticity and the velocity of the fluid. We give a similar variational formulation for the nonstationary Stokes equations in the vorticity‐velocity variables. © 1997 John Wiley & Sons, Inc.