Combination of the Immersed Boundary Method with Compact Schemes for DNS of Flows in Complex Geometry

We present a direct forcing method better suited for the use of compact finite difference schemes in Direct Numerical Simulation. The new forcing creates inside the body an artificial flow preserving the no-slip condition at the surface but reducing the step-like change of the velocity derivatives across the immersed boundary. This modification is shown to improve results both qualitatively and quantitatively for conventional and complex flow geometries.

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