Geodesic
Finite-difference method for the Navier–Stokes equations in a variable domain with curved boundaries
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 491-504 Cet article a éte moissonné depuis la source Math-Net.Ru

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A semi-implicit finite-difference scheme is proposed for solving the nonlinear viscous compressible Navier–Stokes equations. Coordinate transformations are constructed that yield a uniform mesh in the computational plane even though the physical domain under consideration is time-varying and curvilinear. The finite-difference scheme was tested using model examples. 
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     title = {Finite-difference method for the {Navier{\textendash}Stokes} equations in a~variable domain with curved boundaries},
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A. B. Usov. Finite-difference method for the Navier–Stokes equations in a variable domain with curved boundaries. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 491-504. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a9/

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