Numerical Navier-Stokes solutions of supersonic slot injection problems

dc.contributor.authorYoon, Sung Joonen
dc.contributor.committeechairSchetz, Joseph A.en
dc.contributor.committeememberGrossman, Bernarden
dc.contributor.committeememberSimpson, Rogeren
dc.contributor.committeememberJakubowski, Antoni K.en
dc.contributor.committeememberWalters, Robert W.en
dc.contributor.departmentAerospace Engineeringen
dc.description.abstractSupersonic slot injection problems were studied by a finite volume method. The numerical technique used is the upwind method of Roe’s flux difference splitting (FDS) with vertical line Gauss-Seidel relaxation applied to the thin layer Navier-Stokes equations. To test the accuracy of the numerical methods without the complications and uncertainties of turbulence modeling, two sample cases were chosen with laminar flows. The sample problems were the compressible laminar boundary layer flow over a flat plate and the laminar boundary layer - shock interaction problem. For these problems, both the results from Roe’s FDS and van Leer’s flux vector splitting (FVS) are compared with exact solutions and experimental data. For the sample problems, comparisons showed that Roe’s FDS method is more accurate than van Leer’s FVS method. Because of the very complicated wave patterns and strong viscous-inviscid interaction produced by supersonic slot injection, an adaptive grid based on the equidistribution law was combined with the solution algorithm. The results from Roe’s FDS method with the adaptive grid showed good results for the supersonic slot injection over a flat plate. For the slot injection over a 10-degree wedge surface case, there is a significant difference between the numerical and experimental wall pressure distribution. Some potential reasons for the discrepancy including 3D effects and/or transition in the reattachment region in the experiments and possibly a need for a much finer grid in the calculations are discussed.en
dc.description.degreePh. D.en
dc.format.extentxiii, 140 leavesen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 18361211en
dc.rightsIn Copyrighten
dc.subject.lccLD5655.V856 1988.Y666en
dc.subject.lcshNavier-Stokes equationsen
dc.subject.lcshFluid dynamicsen
dc.subject.lcshLaminar flowen
dc.titleNumerical Navier-Stokes solutions of supersonic slot injection problemsen
dc.type.dcmitypeTexten Engineeringen Polytechnic Institute and State Universityen D.en


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