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On a network method for unsteady incompressible fluid flow on triangular grids
Author(s) -
Hall C. A.,
Porsching T. A.,
Mesina G. L.
Publication year - 1992
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650151203
Subject(s) - delaunay triangulation , mathematics , compressibility , variable (mathematics) , finite element method , incompressible flow , flow (mathematics) , divergence (linguistics) , mesh generation , geometry , mathematical analysis , physics , mechanics , linguistics , philosophy , thermodynamics
The dual variable method for Delaunay triangulations is a network‐theoretic method that transforms a set of primitive variable finite difference or finite element equations for incompressible flow into an equivalent system which is one‐fifth the size of the original. Additionally, it eliminates the pressures from the system and produces velocities that are exactly discretely divergence‐free. In this paper new discretizations of the convection term are presented for Delaunay triangulations, the dual variable method is extended to tessellations that contain obstacles, and an efficient algorithm for the solution of the dual variable system is described.