Geodesic
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. 
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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/

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