Geodesic
Dimension reduction in fluid dynamics equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1518-1530

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A method for transforming the Euler and Navier–Stokes equations and a complete system of fluid dynamics equations in three dimensions to a closed system on any moving surface is proposed. As a result, for an arbitrary geometric configuration, the dimension of the equations is reduced by one, which makes them convenient for numerical simulation. The general principles of the method are described, and verifying examples are presented. 
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     author = {V. B. Akkerman and M. L. Zaytsev},
     title = {Dimension reduction in fluid dynamics equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1518--1530},
     publisher = {mathdoc},
     volume = {51},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a13/}
}
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V. B. Akkerman; M. L. Zaytsev. Dimension reduction in fluid dynamics equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1518-1530. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a13/