THE field of fluid mechanics involves a range of rich and vibrant problems with complex
dynamics stemming from instabilities, nonlinearities, and turbulence. The analysis of these …

A method for the nonintrusive and structure-preserving model reduction of canonical and
noncanonical Hamiltonian systems is presented. Based on the idea of operator inference …

For a projection-based reduced order model (ROM) of a fluid flow to be stable and accurate,
the dynamics of the truncated subspace must be taken into account. This paper proposes an …

Numerical stabilization is often used to eliminate (alleviate) the spurious oscillations
generally produced by full order models (FOMs) in under‐resolved or marginally‐resolved …

The Dynamic Mode Decomposition (DMD) is a tool of the trade in computational data driven
analysis of fluid flows. More generally, it is a computational device for Koopman spectral …

A reduced-order model based on the proper orthogonal decomposition (POD) method is
used to assess whether it can predict the highly unsteady flow in turbomachinery cascades …

Abstract Galerkin and Petrov–Galerkin projection-based reduced-order models (ROMs) of
transient partial differential equations are typically obtained by performing a dimension …

We formulate a new projection-based reduced-order modeling technique for non-linear
dynamical systems. The proposed technique, which we refer to as the Adjoint Petrov …

New contributions are offered to the theory and numerical implementation of the discrete
empirical interpolation method (DEIM). A substantial tightening of the error bound for the …

In this paper, we investigate theoretically and computationally the conservation properties of
reduced order models (ROMs) for fluid flows. Specifically, we investigate whether the ROMs …