Imperial College London


Faculty of EngineeringDepartment of Aeronautics

Professor of Computational Fluid Mechanics



+44 (0)20 7594 5052s.sherwin Website




313BCity and Guilds BuildingSouth Kensington Campus






BibTex format

author = {Serson, D and Meneghini, JR and Sherwin, SJ},
doi = {10.1007/978-3-319-65870-4_23},
pages = {331--342},
title = {Extension of the Velocity-Correction Scheme to General Coordinate Systems},
url = {},
year = {2017}

RIS format (EndNote, RefMan)

AB - © 2017, Springer International Publishing AG. 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 -
ER -