Geodesic
Special finite-difference approximations of flow equations in terms of stream function, vorticity and velocity components for viscous incompressible liquid in curvilinear orthogonal coordinates
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 165-174
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The Navier-Stokes equations written in general orthogonal curvilinear coordinates are reformulated with the use of the stream function, vorticity and velocity components. The resulting system id discretized on general irregular meshes and special monotone finite-difference schemes are derived.
The Navier-Stokes equations written in general orthogonal curvilinear coordinates are reformulated with the use of the stream function, vorticity and velocity components. The resulting system id discretized on general irregular meshes and special monotone finite-difference schemes are derived.
Classification : 65M06, 76D05, 76E99, 76M20
Keywords: finite-difference hydrodynamics 
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     author = {Kalis, H.},
     title = {Special finite-difference approximations of flow equations  in terms of stream function, vorticity  and velocity components for viscous incompressible liquid in curvilinear orthogonal coordinates},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {165--174},
     year = {1993},
     volume = {34},
     number = {1},
     mrnumber = {1240214},
     zbl = {0783.76060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_1_a16/}
}
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Kalis, H. Special finite-difference approximations of flow equations  in terms of stream function, vorticity  and velocity components for viscous incompressible liquid in curvilinear orthogonal coordinates. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 1, pp. 165-174. http://geodesic.mathdoc.fr/item/CMUC_1993_34_1_a16/