Application of Lagrangian blending functions for grid generation around airplane geometries

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[1] Samareh-Abolhassani, Jamshid
[2] Sadrehaghighi, Ideen
[3] Smith, Robert E.
[4] Tiwari, Surendra N.
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Mathematical Models - Mathematical Techniques--Geometry;
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A simple procedure has been developed and applied for the grid generation around an airplane geometry. This approach is based on a transfinite interpolation with Lagrangian interpolation for the blending functions. By using a Lagrangian interpolation function, it is possible to enforce the grid continuity across the block interfaces without the derivative information. Monotonic rational quadratic spline interpolation has been employed for the grid distributions on the boundaries. This allows any arbitrary grid spacing without overlapping of the grid lines. An efficient computer program has been developed to generate a multiblock grid around a generic airplane geometry. This procedure has proven to be very simple and effective.
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