Geodesic
Nonlinear finite-difference filters and high order schemes for aerodynamics
Matematičeskoe modelirovanie, Tome 11 (1999) no. 9, pp. 101-115 
V. I. Pinchukov. Nonlinear finite-difference filters and high order schemes for aerodynamics. Matematičeskoe modelirovanie, Tome 11 (1999) no. 9, pp. 101-115. http://geodesic.mathdoc.fr/item/MM_1999_11_9_a7/
@article{MM_1999_11_9_a7,
     author = {V. I. Pinchukov},
     title = {Nonlinear finite-difference filters and high order schemes for aerodynamics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {101--115},
     year = {1999},
     volume = {11},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1999_11_9_a7/}
}
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JO  - Matematičeskoe modelirovanie
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IS  - 9
UR  - http://geodesic.mathdoc.fr/item/MM_1999_11_9_a7/
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ID  - MM_1999_11_9_a7
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%T Nonlinear finite-difference filters and high order schemes for aerodynamics
%J Matematičeskoe modelirovanie
%D 1999
%P 101-115
%V 11
%N 9
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%G ru
%F MM_1999_11_9_a7

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The article is devoted to construction of artificial dissipation terms of addition type for high order schemes. Artificial dissipation is aimed to provide absence of oscillations and successful convergence in time. Two implicit schemes of third and fifth order in space coordinates for steady solutions are considered. The examples of calculations of discontinued inviscid flows and separated viscous flows near a body with front needle are presented.