Canonical fractional-step methods and consistent boundary conditions for the incompressible Navier—Stokes equations

By Moon-Joo Lee, B. Oh, Kim Young Bae. 2001

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Analysis of an Exact Fractional Step Method (2002, background): “The price is a certain loss of temporal accuracy in the solution, which is the subject of many articles [1–3] and some debate about how boundary conditions should be specified [4–6], which may now be largely resolved [7, 8], and some difficulties if convection is treated implicitly [9].”
An overview of projection methods for incompressible flows (2006, result): “This idea is also the basis for very similar works in [42,43,36].”