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We investigate the temporal accuracy of two generalized‐ schemes for the incompressible Navier‐Stokes equations. In a widely‐adopted approach, the pressure is collocated at the time step tn + 1 while the remainder of the Navier‐Stokes equations is discretized following the generalized‐ scheme. That scheme has been claimed to be second‐order accurate in time. We developed a suite of numerical code...