[HTML][HTML] Enhancing CFD solver with Machine Learning techniques
This study addresses the computational challenges in fluid flow simulations arising from
demanding computational grids, required to capture the temporal and length scales …
demanding computational grids, required to capture the temporal and length scales …
[HTML][HTML] Application of machine learning to model the pressure poisson equation for fluid flow on generic geometries
This study addresses the importance of enhancing traditional fluid-flow solvers by
introducing a Machine Learning procedure to model pressure fields computed by standard …
introducing a Machine Learning procedure to model pressure fields computed by standard …
IGNN-Solver: A Graph Neural Solver for Implicit Graph Neural Networks
Implicit graph neural networks (IGNNs), which exhibit strong expressive power with a single
layer, have recently demonstrated remarkable performance in capturing long-range …
layer, have recently demonstrated remarkable performance in capturing long-range …
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 …
Finite Volume Informed Graph Neural Network for Myocardial Perfusion Simulation
Medical imaging and numerical simulation of partial differential equations (PDEs)
representing biophysical processes, have been combined in the past few decades to …
representing biophysical processes, have been combined in the past few decades to …
φ-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries
In this paper, we propose a way to solve partial differential equations (PDEs) by combining
machine learning techniques and a new finite element method called φ-FEM. For that, we …
machine learning techniques and a new finite element method called φ-FEM. For that, we …