A three-dimensional PSME model for rotating flows in an annular cavity Citation for published version: Chern, M-J, Vaziri, N & Borthwick, AGL 2012, 'A three-dimensional PSME model for rotating flows in an annular cavity' International journal of computational fluid dynamics, vol. 26, no. 3, pp. 181-191. DOI: 10.1080dynamics, vol. 26, no. 3, pp. 181-191. DOI: 10. /10618562.2012 General rightsCopyright for the publications made accessible via the Edinburgh Research Explorer is retained by the author(s) and / or other copyright owners and it is a condition of accessing these publications that users recognise and abide by the legal requirements associated with these rights. Take down policyThe University of Edinburgh has made every reasonable effort to ensure that Edinburgh Research Explorer content complies with UK legislation. If you believe that the public display of this file breaches copyright please contact openaccess@ed.ac.uk providing details, and we will remove access to the work immediately and investigate your claim. AbstractA pseudospectral matrix-element (PSME) numerical model is described for the simulation of rotating flows in a three-dimensional annular cavity. Temporal discretization is implemented using a second-order semi-implicit scheme. Modified compressibility is invoked to handle the coupling between velocity and pressure while maintaining the incompressibility constraint. The governingcontinuity and Navier-Stokes momentum equations and boundary conditions are discretized using Chebyshev and