A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow

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An immersed interface method for simulating the interaction of a fluid with moving boundaries (2006, methodology): “[9,28,6,14,29], the sharp interface method [34,39], the ghost fluid method [7,32,10], PHYSALIS [25,31], Calhoun’s method [3] and Russell and Wang’s method [27].”
DISSECTING INSECT FLIGHT (2005, result): “Alternatively, one can take a two-dimensional (2D) slice of the problem, which can be solved with higher-order and efficient schemes (Russell & Wang 2003, Wang 2000b), to study the basic mechanisms in flapping flight and determine whether the results compare with the experiments (Wang et al. 2004a;…”
Simulating flows with moving rigid boundary using immersed-boundary method (2010, methodology): “The present results are in good qualitative agreement with those in [10], suggesting that dynamics of the vorticity field can be captured by the present immersed-boundary formulation.”