activity
20222025
most citedMeshless data-driven decompositions with RBF-based inner products

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

physics.flu-dyn2025

Learning with Physical Constraints

Miguel A. Mendez, Jan van Den Berghe, Manuel Ratz +2

This chapter provides three tutorial exercises on physics-constrained regression. These are implemented as toy problems that seek to mimic grand challenges in (1) the super-resolut…

physics.flu-dyn2025★ 1 cited

Meshless data-driven decompositions with RBF-based inner products

Manuel Ratz, Alessandro Parente, Miguel Alfonso Mendez

Data-driven modal decompositions are useful tools for compressing data or identifying dominant structures. Popular ones like the dynamic mode decomposition (DMD) and the proper ort…

physics.flu-dyn2025

A meshless data-tailored approach to compute statistics from scattered data with adaptive radial basis functions

Damien Rigutto, Manuel Ratz, Miguel A. Mendez

Constrained radial basis function (RBF) regression has recently emerged as a powerful meshless tool for reconstructing continuous velocity fields from scattered flow measurements,…

physics.flu-dyn2025

Statistical Methods and Modal Decompositions for Gridded and Scattered Data: Meshless Statistics and Meshless Data Driven Modal Analysis

Miguel A. Mendez, Manuel Ratz, Damien Rigutto

Statistical tools are crucial for studying and modeling turbulent flows, where chaotic velocity fluctuations span a wide range of spatial and temporal scales. Advances in image vel…

physics.flu-dyn2024

A meshless and binless approach to compute statistics in 3D Ensemble PTV

Manuel Ratz, Miguel A. Mendez

We propose a method to obtain superresolution of turbulent statistics for three-dimensional ensemble particle tracking velocimetry (EPTV). The method is ''meshless'' because it doe…

physics.flu-dyn2022

Analysis of an unsteady quasi-capillary channel flow with Time Resolved PIV and RBF-based super resolution

Manuel Ratz, Domenico Fiorini, Alessia Simonini +2

We investigate the behaviour of accelerating contact lines in an unsteady quasi-capillary channel flow. The configuration consists of a liquid column that moves along a vertical 2D…