Emerging trends in numerical simulations of combustion systems

V Raman, M Hassanaly - Proceedings of the Combustion Institute, 2019 - Elsevier
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 …

Data-driven POD-Galerkin reduced order model for turbulent flows

S Hijazi, G Stabile, A Mola, G Rozza - Journal of Computational Physics, 2020 - Elsevier
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 …

Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction

K Carlberg, M Barone, H Antil - Journal of Computational Physics, 2017 - Elsevier
Abstract Least-squares Petrov–Galerkin (LSPG) model-reduction techniques such as the
Gauss–Newton with Approximated Tensors (GNAT) method have shown promise, as they …

Promoting global stability in data-driven models of quadratic nonlinear dynamics

AA Kaptanoglu, JL Callaham, A Aravkin, CJ Hansen… - Physical Review …, 2021 - APS
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 …

On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows

S Grimberg, C Farhat, N Youkilis - Journal of Computational Physics, 2020 - Elsevier
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 …

POD-Galerkin method for finite volume approximation of Navier–Stokes and RANS equations

S Lorenzi, A Cammi, L Luzzi, G Rozza - Computer Methods in Applied …, 2016 - Elsevier
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 …

Neural network closures for nonlinear model order reduction

O San, R Maulik - Advances in Computational Mathematics, 2018 - Springer
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 …

Conservative model reduction for finite-volume models

K Carlberg, Y Choi, S Sargsyan - Journal of Computational Physics, 2018 - Elsevier
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 …

Space--time least-squares Petrov--Galerkin projection for nonlinear model reduction

Y Choi, K Carlberg - SIAM Journal on Scientific Computing, 2019 - SIAM
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 …

A numerical investigation of velocity–pressure reduced order models for incompressible flows

A Caiazzo, T Iliescu, V John, S Schyschlowa - Journal of Computational …, 2014 - Elsevier
This report has two main goals. First, it numerically investigates three velocity–pressure
reduced order models (ROMs) for incompressible flows. The proper orthogonal …