Geodesic
Development of algorithms for solving the Navier–Stokes equations in “velocity–pressure” variables
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 105-120

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A new approach for pressure computation at solving the Navier–Stokes equations in primitive variables is proposed and developed. The approach is based on integral forms of the continuity equation (mass conservation equations) and pressure decomposition in order to reduce total computational efforts. The paper represents the algorithm description and results of benchmark and applied problems. Navier–Stokes equations are solved without additional boundary conditions for pressure. The approach can be used in decoupled and coupled solvers. 
@article{UZKU_2007_149_4_a8,
     author = {S. I. Martynenko},
     title = {Development of algorithms for solving the {Navier{\textendash}Stokes} equations in {\textquotedblleft}velocity{\textendash}pressure{\textquotedblright} variables},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {105--120},
     publisher = {mathdoc},
     volume = {149},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a8/}
}
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S. I. Martynenko. Development of algorithms for solving the Navier–Stokes equations in “velocity–pressure” variables. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 105-120. http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a8/