Geodesic
On the structure of internal dissipation of composite compact schemes for gasdynamic simulation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 12, pp. 2232-2246

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The structure of the internal dissipation terms in composite compact schemes intended for gasdynamic simulation is considered. The main cause of the insufficient stability of high-order accurate schemes is indicated. A method for controlling the dissipative properties of schemes is proposed that makes it possible to compute compressible gas flows with strong shock waves. The supersonic turbulent unsteady flow past a two-dimensional cavity directed toward the stream is computed. 
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     author = {A. D. Savel'ev},
     title = {On the structure of internal dissipation of composite compact schemes for gasdynamic simulation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2232--2246},
     publisher = {mathdoc},
     volume = {49},
     number = {12},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a11/}
}
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A. D. Savel'ev. On the structure of internal dissipation of composite compact schemes for gasdynamic simulation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 12, pp. 2232-2246. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a11/