Geodesic
A Riemann solver for RANS
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 1, pp. 126-138 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {A {Riemann} solver for {RANS}},
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P. V. Chuvakhov. A Riemann solver for RANS. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 1, pp. 126-138. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_1_a10/

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