A Numerical Study of the Introduction and Propagation of a 2-D Vortex (original) (raw)
A method for introducing a two-dimensional vortex via time dependent boundary conditions is considered. A flow field describing a vortex superimposed on a freestream is given analytically at the boundary. Several analytical vortex models are studied. Numerical solutions of the Euler equations are calculated with a central finite volume scheme with Jameson artificial dissipation. Dispersive and dissipative errors are studied by grid refinement and parameter variations of vortex strength, advection velocity, and the type of vortex, respectively. The interior scheme is evaluated with the vortex defined as initial data. This shows that the interior scheme weakens the strength of the vortex, and that the rate of decay is governed by the fourth order artificial dissipation of the scheme. Numerical evaluation of the implemented characteristic boundary conditions of first and second order accuracy is performed. The global spatial accuracy in the computational domain is then found to be of second order for both the first and second order accurate boundary conditions. Studies on errors specifically due to a vortex entry are made. An evaluation of Non-Matching Block (NMB) boundary effects is also performed. The errors created by an incompressible analytical vortex passing through the boundary into a compressible domain is numerically investigated. Finally, Blade Vortex Interaction (BVI) calculations are performed.
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