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A New Formulation of the Three‐dimensional Velocity‐Vorticity System in Viscous Incompressible Flow
Author(s) -
Ruas V.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199901)79:1<29::aid-zamm29>3.0.co;2-h
Subject(s) - vorticity , uniqueness , compressibility , equivalence (formal languages) , mathematics , incompressible flow , burgers vortex , work (physics) , mathematical analysis , context (archaeology) , flow (mathematics) , vorticity equation , classical mechanics , mechanics , physics , vortex , geometry , geology , paleontology , discrete mathematics , thermodynamics
The aim of this work is to study a formulation of the system of equations that governs incompressible viscous flows, in terms of the velocity and the vorticity fields. Such formulation incorporates a set of boundary conditions particularly suitable for the uncoupled solution of this system. The issues concerning the existence and uniqueness of solutions are addressed, and the equivalence with the standard primitive variable formulation is demonstrated, in a rigorous mathematical context.