  In this paper we propose a space-time framework for the computation of
periodic flows. We employ the isogeometric analysis framework to achieve
higher-order smoothness in both space and time. The discretization is performed
using residual-based variational multiscale modelling and weak boundary
conditions are adopted to enhance the accuracy near the moving boundaries of
the computational domain. We show conservation properties and present a
conservative method for force extraction. We apply our framework to the
computation of a heaving and pitching hydrofoil. Numerical results display very
accurate results on course meshes.
