A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids

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Curvilinear Immersed Boundary Method for Simulating Fluid Structure Interaction with Complex 3D Rigid Bodies (2008, unknown): “To remedy this situation, a class of sharp-interface immersed boundary methods has recently been developed and are attracting increasing attention in the literature – see for example [11–17] among many others and some recent publications from our group [2,18,19].”
A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries (2007, background): “The latter class of methods, on the other hand, treats solid boundaries as sharp interfaces utilizing either Cartesian, cut-cell formulations [3,4] or hybrid Cartesian/Immersed Boundary (HCIB) approaches (see [5,6,1,7] among others)—the reader is referred to [8,9] for more detailed discussion of thi”
A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies (2005, methodology): “The reconstruction algorithm we develop herein relies on the basic idea presented in [38] – i.”