Extension of a Face-Based Cut-Cell Inspired 2D Immersed Boundary Method to 3D flows
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In this work we extend the face-based Immersed Boundary Method (IBM) in [1] to 3D flows. The grid is classified into cells interior and exterior to the immersed object, and solution forcing is done on cell faces in the immediate neighbourhood of the IB, which are termed as band faces. To enforce geometric conservation, the wetted areas of cell faces intersected by the IB are approximately determined, using a cut-cell approach. Figure 1 shows that present IBM computations compares well with literature [2]. Extension to 3D will involve tessellation of the immersed surface using triangles and ray tracing algorithm to determine cell classification. Estimation of wetted areas will involve determining intersection of immersed surface (triangles) with the cell faces (quads). The modified method will be tested against canonical 3D inviscid and laminar test cases.
