  In this paper, we present recent efforts to develop reduced order modeling
(ROM) capabilities for spectral element methods (SEM). Namely, we detail the
implementation of ROM for both continuous Galerkin and discontinuous Galerkin
methods in the spectral/hp element library Nektar++. The ROM approaches adopted
are intrusive methods based on the proper orthogonal decomposition (POD). They
admit an offline-online decomposition, such that fast evaluations for parameter
studies and many-queries are possible. An affine parameter dependency is
exploited such that the reduced order model can be evaluated independent of the
large-scale discretization size. The implementation in the context of SEM can
be found in the open-source model reduction software ITHACA-SEM.
