TY - CPAPER AB - The velocity-correction scheme is a time-integration method for the incompressible Navier-Stokes equations, and is a common choice in the context of spectral/hp methods. Although the spectral/hp discretization allows the representation of complex geometries, in some cases the use of a coordinate transformation is desirable, since it may lead to symmetries which allow a more efficient solution of the equations. One example of this occurs when the transformed geometry has a homogeneous direction, in which case a Fourier expansion can be applied in this direction, reducing the computational cost. In this paper, we revisit two recently proposed forms of extending the velocity-correction scheme to general coordinate systems, the first treating the mapping terms explicitly and the second treating them semi-implicitly. We then present some numerical examples illustrating the properties and applicability of these methods, including new tests focusing on the time-accuracy of these schemes. AU - Serson,D AU - Meneghini,JR AU - Sherwin,SJ DO - 10.1007/978-3-319-65870-4_23 EP - 342 PY - 2017/// SN - 1439-7358 SP - 331 TI - Extension of the Velocity-Correction Scheme to General Coordinate Systems UR - http://dx.doi.org/10.1007/978-3-319-65870-4_23 ER -