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Russia Izhevsk
Section Mechanics
Title Application of WENO scheme for simulation of turbulent flow in a channel with backward-facing step
Author(-s) Shumikhin A.A.a, Koroleva M.R.a, Dadikina S.Yu.a, Karpov A.I.ab
Affiliations Institute of Mechanics, Ural Branch of the Russian Academy of Sciencesa, Udmurt State Universityb
Abstract The technique of viscous gas turbulent flow simulation based on high-order approximation WENO scheme (Weighted Essentially Non-oscillatory scheme) is described. This scheme is characterized by significant stability when calculations are performed, because WENO allows to eliminate nonphysical oscillations of a numerical solution which can occur during calculations. The system of governing equations describing the flow of viscous gas based on the Navier-Stokes equations is presented. The algorithms of 3-rd and 5-th accuracy orders are developed and implemented. The numerical methods used in the calculations of gas flow are described. Turbulence modeling is carried out using the method of large vortices. The proposed algorithms have been used to study the flow of viscous gas in a channel with backward-facing step. Reynolds number of the flow in the channel was Re=15000. Comparison of simulation results with experimental data has been made.
Keywords WENO scheme, method of large vortices, turbulence, Computational Fluid Dynamics
UDC 532.517.4, 519.632.4
MSC 76F65, 65N08
DOI 10.20537/vm170313
Received 1 August 2017
Language Russian
Citation Shumikhin A.A., Koroleva M.R., Dadikina S.Yu., Karpov A.I. Application of WENO scheme for simulation of turbulent flow in a channel with backward-facing step, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2017, vol. 27, issue 3, pp. 460-469.
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