Geodesic
Splitting algorithms as applied to the Navier–Stokes equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 700-714 
V. M. Kovenya; A. Yu. Slyunyaev. Splitting algorithms as applied to the Navier–Stokes equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 700-714. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Implicit finite-difference schemes of approximate factorization and predictor-corrector schemes based on a special splitting of operators are proposed for the numerical solution of the Navier–Stokes equations governing a viscous compressible heat-conducting gas. The schemes are based on scalar tridiagonal Gaussian elimination and are unconditionally stable. The accuracy and efficiency of the algorithms are confirmed by computing two-dimensional flows of complex geometry.

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