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TsAGI Science Journal

ISSN Druckformat: 1948-2590
ISSN Online: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2015013729
pages 1-16

DISCONTINUOUS GALERKIN METHOD FOR THE REYNOLDS EQUATION SYSTEM WITH THE EARSM

Igor Sergeevich Bosnyakov
Central Aerohydrodynamic Institute (TsAGI), 1, Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russia
Vladimir Viktorovich Vlasenko
Central Aerohydrodynamic Institute (TsAGI) 1, Zhukovsky str., Zhukovsky, 140180, Moscow region, Russia
Andrey Viktorovich Wolkov
Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation
Sergey Vladimirovich Lyapunov
Central Aerohydrodynamic Institute (TsAGI) 1, Zhukovsky str., Zhukovsky, 140180, Moscow region, Russia
Aleksey Igorevich Troshin
Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovsky Str., Zhukovsky, 140180, Russia

ABSTRAKT

The discontinuous Galerkin method is presented for the solution of the Reynolds system of equations for compressible gas closed with the explicit algebraic Reynolds stress model (EARSM). Time marching is performed according to the five-step explicit Runge-Kutta scheme with a multigrid algorithm for acceleration of convergence to the stationary solution. The features of method implementation are considered, as well as relaxation of the turbulence variables and other ways to improve the computational stability, and corrections made at every time step are described. The results of the flat-plate turbulent boundary layer and three-element airfoil at high angle of attack test computations are presented with up to four orders of accuracy, and grid convergence analysis is performed.


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