Geodesic
Time reversibility and stream correction in the CABARET scheme for the two-dimensional equation of convective transport
Numerical methods and programming, Tome 17 (2016) no. 4, pp. 393-401

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The CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) difference scheme with five different modifications of nonlinear flow correction based on the maximum principle is considered for the two-dimensional linear convection equation. The computational efficiency of these different modifications is analyzed by the results of solving the Crowley's problem on the cone rotation around the axis not coincident with the axis of the cone using condensing orthogonal grids. A number of recommendations are formulated to improve the computational efficiency of the entire class of CABARET schemes for the hyperbolic-type conservation laws and for the processes with dominant grid transfer.
Mots-clés : CABARET scheme
Keywords: shallow water equations, conservative schemes, time reversible schemes, numerical simulation. 
@article{VMP_2016_17_4_a3,
     author = {V. M. Goloviznin and D. Yu. Gorbachev and A. M. Kolokolnikov and P. A. Maiorov and P. A. Maiorov and B. A. Tlepsuk},
     title = {Time reversibility and stream correction in the {CABARET} scheme for the two-dimensional equation of convective transport},
     journal = {Numerical methods and programming},
     pages = {393--401},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2016_17_4_a3/}
}
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%A B. A. Tlepsuk
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V. M. Goloviznin; D. Yu. Gorbachev; A. M. Kolokolnikov; P. A. Maiorov; P. A. Maiorov; B. A. Tlepsuk. Time reversibility and stream correction in the CABARET scheme for the two-dimensional equation of convective transport. Numerical methods and programming, Tome 17 (2016) no. 4, pp. 393-401. http://geodesic.mathdoc.fr/item/VMP_2016_17_4_a3/