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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 …
[KÖNYV][B] Advanced reduced order methods and applications in computational fluid dynamics
Reduced order modeling is an important and fast-growing research field in computational
science and engineering, motivated by several reasons, of which we mention just a few …
science and engineering, motivated by several reasons, of which we mention just a few …
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 …
A one-shot overlap** Schwarz method for component-based model reduction: application to nonlinear elasticity
We propose a component-based (CB) parametric model order reduction (pMOR) formulation
for parameterized nonlinear elliptic partial differential equations (PDEs) based on …
for parameterized nonlinear elliptic partial differential equations (PDEs) based on …
Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity
We propose an automated nonlinear model reduction and mesh adaptation framework for
rapid and reliable solution of parameterized advection-dominated problems, with emphasis …
rapid and reliable solution of parameterized advection-dominated problems, with emphasis …
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs
We propose a model reduction procedure for rapid and reliable solution of parameterized
hyperbolic partial differential equations. Due to the presence of parameter-dependent shock …
hyperbolic partial differential equations. Due to the presence of parameter-dependent shock …
Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning
Projection-based model reduction has become a popular approach to reduce the cost
associated with integrating large-scale dynamical systems so they can be used in many …
associated with integrating large-scale dynamical systems so they can be used in many …
Train small, model big: Scalable physics simulators via reduced order modeling and domain decomposition
Numerous cutting-edge scientific technologies originate at the laboratory scale, but
transitioning them to practical industry applications is a formidable challenge. Traditional …
transitioning them to practical industry applications is a formidable challenge. Traditional …
Registration-based model reduction of parameterized two-dimensional conservation laws
We propose a nonlinear registration-based model reduction procedure for rapid and reliable
solution of parameterized two-dimensional steady conservation laws. This class of problems …
solution of parameterized two-dimensional steady conservation laws. This class of problems …
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 …