Reduced-order modeling
In recent years, reduced-order modeling techniques have proven to be powerful tools for
various problems in circuit simulation. For example, today, reduction techniques are …
various problems in circuit simulation. For example, today, reduction techniques are …
Bridging Large Eddy Simulation and Reduced Order Modeling of Convection-Dominated Flows through Spatial Filtering: Review and Perspectives
Reduced order models (ROMs) have achieved a lot of success in reducing the
computational cost of traditional numerical methods across many disciplines. For convection …
computational cost of traditional numerical methods across many disciplines. For convection …
On closures for reduced order models—A spectrum of first-principle to machine-learned avenues
For over a century, reduced order models (ROMs) have been a fundamental discipline of
theoretical fluid mechanics. Early examples include Galerkin models inspired by the Orr …
theoretical fluid mechanics. Early examples include Galerkin models inspired by the Orr …
Hybrid neural network reduced order modelling for turbulent flows with geometric parameters
Geometrically parametrized partial differential equations are currently widely used in many
different fields, such as shape optimization processes or patient-specific surgery studies …
different fields, such as shape optimization processes or patient-specific surgery studies …
Residual-Based Stabilized Reduced-Order Models of the Transient Convection–Diffusion–Reaction Equation Obtained Through Discrete and Continuous Projection
Abstract Galerkin and Petrov–Galerkin projection-based reduced-order models (ROMs) of
transient partial differential equations are typically obtained by performing a dimension …
transient partial differential equations are typically obtained by performing a dimension …
Overcoming slowly decaying Kolmogorov n-width by transport maps: application to model order reduction of fluid dynamics and fluid--structure interaction problems
In this work we focus on reduced order modelling for problems for which the resulting
reduced basis spaces show a slow decay of the Kolmogorov $ n $-width, or, in practical …
reduced basis spaces show a slow decay of the Kolmogorov $ n $-width, or, in practical …
Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations
V John, B Moreau, J Novo - Computers & Mathematics with Applications, 2022 - Elsevier
A reduced order model (ROM) method based on proper orthogonal decomposition (POD) is
analyzed for convection-diffusion-reaction equations. The streamline-upwind Petrov …
analyzed for convection-diffusion-reaction equations. The streamline-upwind Petrov …
Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows
Proper orthogonal decomposition (POD) stabilized methods for the Navier--Stokes
equations are considered and analyzed. We consider two cases: the case in which the …
equations are considered and analyzed. We consider two cases: the case in which the …
Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows
S Rubino - SIAM Journal on Numerical Analysis, 2020 - SIAM
In this paper, we propose a new stabilized projection-based proper orthogonal
decomposition reduced order model (POD-ROM) for the numerical simulation of …
decomposition reduced order model (POD-ROM) for the numerical simulation of …
Reduced order model closures: A brief tutorial
In this paper, we present a brief tutorial on reduced order model (ROM) closures. First, we
carefully motivate the need for ROM closure modeling in under-resolved simulations. Then …
carefully motivate the need for ROM closure modeling in under-resolved simulations. Then …