Weakly-invasive LATIN-PGD for solving time-dependent non-linear parametrized problems in solid mechanics
A weakly-invasive version of the LATIN-PGD method is introduced to compute reduced-
order models in solid mechanics for time-dependent non-linear parametrized problems …
order models in solid mechanics for time-dependent non-linear parametrized problems …
A non-intrusive reduced order model for the characterisation of the spatial power distribution in large thermal reactors
Large thermal reactors endowed with heavy reflectors are very sensitive to localised
perturbations. To adequately characterise the spatial effects of these localised disturbances …
perturbations. To adequately characterise the spatial effects of these localised disturbances …
An efficient reduced order model for nonlinear transient porous media flow with time-varying injection rates
Abstract An intrusive Reduced Order Model (ROM) is developed for nonlinear porous media
flow problems with transient and time-discontinuous fluid injection rates. The proposed ROM …
flow problems with transient and time-discontinuous fluid injection rates. The proposed ROM …
A hybrid numerical methodology coupling Reduced Order Modeling and Graph Neural Networks for non-parametric geometries: applications to structural dynamics …
This work introduces a new approach for accelerating the numerical analysis of time-domain
partial differential equations (PDEs) governing complex physical systems. The methodology …
partial differential equations (PDEs) governing complex physical systems. The methodology …
Learning Projection-Based Reduced-Order Models
In this chapter, we introduce the solution space for high-fidelity models based on partial
differential equations and the finite element model. The manifold learning approach to …
differential equations and the finite element model. The manifold learning approach to …
An efficient reduced order model for nonlinear transient porous media flow with time-varying injection rates
Abstract An intrusive Reduced Order Model (ROM) is developed for nonlinear porous media
flow problems with transient and time-discontinuous fluid injection rates. The proposed ROM …
flow problems with transient and time-discontinuous fluid injection rates. The proposed ROM …
[HTML][HTML] A novel approach combining bootstrapped non-intrusive reduced order models and unscented transform for the robust and efficient CFD analysis of …
The risk assessment for safety-critical, complex systems is a very challenging computational
problem when it is performed with high-fidelity models, eg CFD, like in the case of accidental …
problem when it is performed with high-fidelity models, eg CFD, like in the case of accidental …
Applications and Extensions: A Survey of Literature
This chapter contains a literature survey of the work published by the authors in the
timeframe of their collaboration, where the concepts presented in this book have been …
timeframe of their collaboration, where the concepts presented in this book have been …
[图书][B] Manifold Learning: Model Reduction in Engineering
This Open Access book reviews recent theoretical and numerical developments in nonlinear
model order reduction in continuum mechanics, being addressed to Master and PhD …
model order reduction in continuum mechanics, being addressed to Master and PhD …
Resources: Software and Tutorials
MORDICUS is the French acronym for “Méthodes d'Ordre RéDuIt Conçues pour des Usages
induStriels”, translated to “reduced-order methods designed for industrial usage”. It is the …
induStriels”, translated to “reduced-order methods designed for industrial usage”. It is the …