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Russia Izhevsk
Section  Mechanics 
Title  Solution of unsteady aerodynamics problems on the basis of the numerical algorithms of highorder approximation 
Author(s)  Lipanov A.M.^{a}, Karskanov S.A.^{a}, Izhboldin E.Yu.^{a} 
Affiliations  Institute of Mechanics, Ural Branch of the Russian Academy of Sciences^{a} 
Abstract  A computational highorder algorithm for solving aerodynamics problems is presented. A direct numerical simulation method is based on the application of modern WENOschemes at the approximation according to the space of convective summands and first derivatives of the system of full NavierStokes equations. Second derivatives and diffusive terms of the equations are resolved with a highorder centraldifference scheme. The results of simulation with the use of the above method are demonstrated in considering the solution of two problems. It is shown that computational algorithms efficiently reproduce physical behavior of subsonic flows (vortex trail) and supersonic flows (discontinuity of parameters, airblasts, compression shocks). 
Keywords  NavierStocks equations, direct numerical simulation, highorder scheme, supersonic flow, Mach number 
UDC  519.6 
MSC  76N15 
DOI  10.20537/vm130311 
Received  14 May 2013 
Language  Russian 
Citation  Lipanov A.M., Karskanov S.A., Izhboldin E.Yu. Solution of unsteady aerodynamics problems on the basis of the numerical algorithms of highorder approximation, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 3, pp. 140150. 
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