Emerging trends in numerical simulations of combustion systems
Numerical simulations have played a vital role in the design of modern combustion systems.
Over the last two decades, the focus of research has been on the development of the large …
Over the last two decades, the focus of research has been on the development of the large …
Data-driven POD-Galerkin reduced order model for turbulent flows
In this work we present a Reduced Order Model which is specifically designed to deal with
turbulent flows in a finite volume setting. The method used to build the reduced order model …
turbulent flows in a finite volume setting. The method used to build the reduced order model …
Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction
Abstract Least-squares Petrov–Galerkin (LSPG) model-reduction techniques such as the
Gauss–Newton with Approximated Tensors (GNAT) method have shown promise, as they …
Gauss–Newton with Approximated Tensors (GNAT) method have shown promise, as they …
Promoting global stability in data-driven models of quadratic nonlinear dynamics
Modeling realistic fluid and plasma flows is computationally intensive, motivating the use of
reduced-order models for a variety of scientific and engineering tasks. However, it is …
reduced-order models for a variety of scientific and engineering tasks. However, it is …
On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows
In the literature on nonlinear projection-based model order reduction for computational fluid
dynamics problems, it is often claimed that due to modal truncation, a projection-based …
dynamics problems, it is often claimed that due to modal truncation, a projection-based …
POD-Galerkin method for finite volume approximation of Navier–Stokes and RANS equations
Numerical simulation of fluid flows requires important computational efforts but it is essential
in engineering applications. Reduced Order Model (ROM) can be employed whenever fast …
in engineering applications. Reduced Order Model (ROM) can be employed whenever fast …
Neural network closures for nonlinear model order reduction
Many reduced-order models are neither robust with respect to parameter changes nor cost-
effective enough for handling the nonlinear dependence of complex dynamical systems. In …
effective enough for handling the nonlinear dependence of complex dynamical systems. In …
Conservative model reduction for finite-volume models
This work proposes a method for model reduction of finite-volume models that guarantees
the resulting reduced-order model is conservative, thereby preserving the structure intrinsic …
the resulting reduced-order model is conservative, thereby preserving the structure intrinsic …
Space--time least-squares Petrov--Galerkin projection for nonlinear model reduction
This work proposes a space--time least-squares Petrov--Galerkin (ST-LSPG) projection
method for model reduction of nonlinear dynamical systems. In contrast to typical nonlinear …
method for model reduction of nonlinear dynamical systems. In contrast to typical nonlinear …
A numerical investigation of velocity–pressure reduced order models for incompressible flows
This report has two main goals. First, it numerically investigates three velocity–pressure
reduced order models (ROMs) for incompressible flows. The proper orthogonal …
reduced order models (ROMs) for incompressible flows. The proper orthogonal …