Sterian Dănăilă , Alina Bogoi , Dragoș Isvoranu and Constantin Levențiu

DOI Number XXX-YYY-ZZZ

Conference Number HiSST 2018-2810952

Present paper is a two-step investigation of some benchmark problems in the field of supersonic/hypersonic phenomena. The first step is concerned on the assessment of three Weighted Essentially Non-Oscillatory (WENO) type numerical schemes for shock tube problems applied for simple cases, like scalar conservation law. The idea is to objectively present the performances of these numerical schemes covering a wider range of Riemann problems and not only on some specific favourable cases as it is customary done in specialized literature. All the schemes identify accurate the position of the shock and converge to the proper weak solution for non-linear flux and different initial conditions. Next, the paper refers to the unsteady laminar or turbulent shock wave/boundary layer interactions over compression ramps with a sharp leading edge. The in-house code that has been developed (SUPERHYP) solves the time-dependent conservation law form of the RANS/LES equations. This code is Fortran parallel code with a graphical interface to survey the solution during run. The spatial discretization involves a finite-volume approach. Upwind-biasing is used for the convective and pressure terms, while central differencing is used for the shear stress and heat transfer terms. Time advancement strategy allows solving steady or unsteady flows. Grids must be supplied, but a mesh generator for simple geometries is included in the package.

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