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This article is cited in 1 scientific paper (total in 1 paper)
A Riemann solver for RANS
P. V. Chuvakhovab a Central Aerohydrodynamic Institute, ul. Zhukovskogo 1, Zhukovsky, Moscow oblast, 140180, Russia
b Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
Abstract:
An exact expression for a system of both eigenvalues and right/left eigenvectors of a Jacobian matrix for a convective two-equation differential closure RANS operator split along a curvilinear coordinate is derived. It is shown by examples of numerical modeling of supersonic flows over a flat plate and a compression corner with separation that application of the exact system of eigenvalues and eigenvectors to the Roe approach for approximate solution of the Riemann problem gives rise to an increase in the convergence rate, better stability and higher accuracy of a steady-state solution in comparison with those in the case of an approximate system.
Key words:
Roe flux differencing scheme, eigenvalues and eigenvectors, Riemann problem, generalized coordinates, Reynolds Averaged Navier–Stokes equations, RANS, turbulence closure, turbulent boundary layer, convergence, stability, numerical finite-volume method.
Received: 27.05.2013 Revised: 14.07.2013
Citation:
P. V. Chuvakhov, “A Riemann solver for RANS”, Zh. Vychisl. Mat. Mat. Fiz., 54:1 (2014), 126–138; Comput. Math. Math. Phys., 54:1 (2014), 135–147
Linking options:
https://www.mathnet.ru/eng/zvmmf9979 https://www.mathnet.ru/eng/zvmmf/v54/i1/p126
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