An immersed boundary technique for simulating complex flows with rigid boundary

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A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations (2009, methodology): “In [12], the force at the boundary is determined explicitly while in [13,14] the force is computed implicitly by solving a linear system.”
Simulating flows with moving rigid boundary using immersed-boundary method (2010, methodology): “Another approach is to adopt a combination of Eulerian and Lagrangian variables, such that the solid boundary was represented by discrete Lagrangian markers embedded in, and exerting forces on, the Eulerian fluid domain [30,31].”