Application of high-order accuracy schemes to numerical simulation of unsteady supersonic flows
Matematičeskoe modelirovanie, Tome 19 (2007) no. 7, pp. 39-55

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Employment of high-order shock-capturing methods for numerical simulation of complex supersonic flows is considered. The procedure of construction of WENO (weighted essentially non-oscillatory) schemes and their basic properties are briefly reviewed. The problems arising at their practical implementation for solving the Euler and Navier–Stokes equations are discussed. A number of examples of solving the problems of computational aerodynamics are given. In many cases, results obtained from numerical simulations are compared with data of experimental measurements.
@article{MM_2007_19_7_a3,
     author = {A. N. Kudryavtsev and T. V. Poplavskaya and D. V. Khotyanovsky},
     title = {Application of high-order accuracy schemes to numerical simulation of unsteady supersonic flows},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {39--55},
     publisher = {mathdoc},
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     number = {7},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_7_a3/}
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A. N. Kudryavtsev; T. V. Poplavskaya; D. V. Khotyanovsky. Application of high-order accuracy schemes to numerical simulation of unsteady supersonic flows. Matematičeskoe modelirovanie, Tome 19 (2007) no. 7, pp. 39-55. http://geodesic.mathdoc.fr/item/MM_2007_19_7_a3/