The present study is concerned with the numerical simulation of high Reynolds number, two-dimensional, incompressible, steady, weakly separated laminar flows. It is shown that a “well-designed” code can solve the complete Navier-Stokes equations and the parabolized vorticity equations with the same convergence rate, so that solving the full Navier-Stokes equations is recommended when dealing with a new problem. Furthermore, the boundary-layer equations in vorticity/stream-function form are solved without encountering the Goldstein singularity at separation. Finally, for a typical high Reynolds number weakly separated flow, it is shown that, in the presence of a non-negligible skewness in the body-oriented computational grid, the parabolized vorticity approximation still provides very reliable solutions, whereas an interacting boundary-layer model provides results plagued with severe errors.

High Reynolds number separated flow solutions using Navier-Stokes and approximate equations / Napolitano, M.. - In: AIAA JOURNAL. - ISSN 0001-1452. - STAMPA. - 25:2(1987), pp. 260-265. [10.2514/3.9616]

High Reynolds number separated flow solutions using Navier-Stokes and approximate equations

M. Napolitano
1987-01-01

Abstract

The present study is concerned with the numerical simulation of high Reynolds number, two-dimensional, incompressible, steady, weakly separated laminar flows. It is shown that a “well-designed” code can solve the complete Navier-Stokes equations and the parabolized vorticity equations with the same convergence rate, so that solving the full Navier-Stokes equations is recommended when dealing with a new problem. Furthermore, the boundary-layer equations in vorticity/stream-function form are solved without encountering the Goldstein singularity at separation. Finally, for a typical high Reynolds number weakly separated flow, it is shown that, in the presence of a non-negligible skewness in the body-oriented computational grid, the parabolized vorticity approximation still provides very reliable solutions, whereas an interacting boundary-layer model provides results plagued with severe errors.
1987
High Reynolds number separated flow solutions using Navier-Stokes and approximate equations / Napolitano, M.. - In: AIAA JOURNAL. - ISSN 0001-1452. - STAMPA. - 25:2(1987), pp. 260-265. [10.2514/3.9616]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/6095
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