Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term

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An augmented approach for Stokes equations with a discontinuous viscosity and singular forces (2007, methodology): “In [7,13], the correct boundary conditions for the pressure has been derived.”
An immersed interface method for simulating the interaction of a fluid with moving boundaries (2006, methodology): “High-order explicit schemes are appropriate for the moderate Reynolds numbers that we consider here, as shown by Johnston and Liu [12,13] and E and Liu [5].”
Stability and convergence of efficient Navier‐Stokes solvers via a commutator estimate (2007, methodology): “2), pS is also determined by the condition [23]”