NEAR-WAKE FLOW CALCULATIONS BY AN IMPLICIT 2D NAVIER-STOKES ROE RIEMANN SOLVER |
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Authors: | F ANGRAND F C LAFON |
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Institution: | 1. C.E.A. CEL-V Department of Mathematics , Villeneuve Saint Georges Cedex, 94195, France;2. Thomson-CSF, Laboratoire Central de Recherche, Laboratoire de modélisation et d'Analyse Numérique , Domaine de Corbeville, 91404, ORSAY E-mail: lafon @ thomson-icr.fr |
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Abstract: | Abstract A flux formulation using a projected 2D Roe Riemann solver on unstructured grids (R2D Solver) is introduced for solving the Navier-Stokes equations and is applied to calculations of axisymmetric laminar near-wake flows behind a spherical-conical body. The numerical framework was first developed by P. L. Roe et al, in the late eighties. They looked for unsteady solutions to Euler's equations using a rather simple but exact three state linearization on triangular grids and decomposing the solution using some effective wave models. Our approach differs from their techniques by constructing a second order accurate and conservative flux functions under the well-known classical finite volume formulation. However, our Riemann Solver is obtained by a suitable linearization procedure upon all three prescribed nodal values given on each triangle. Our numerical method is applied to a Mach 4.3 flow problem for refined unstructured triangular grid behind the body. Numerical results indicate that our technique is stable, accurate and converges successfully to a stationary solution as the cell size is reduced from the coarse lo the finest grid. |
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Keywords: | Euler Navier-Stokes Remann solvers finite volume method supersonic flow |
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