15 citations · 34 across the 15 of their papers we have counts for
17 papers
Stress-divergence, Laplacian, and rotational forms of the incompressible Navier--Stokes equations with variable viscosity
Benjamin Cisternas, Douglas R. Q. Pacheco, Felipe Galarce +1
In the Navier--Stokes equations, incompressibility allows rewriting the viscous term in various forms leading to distinct numerical properties and flow descriptions. Furthermore, m…
Dynamic Reduced-Order Data Assimilation from Sparse Velocity Measurements
Mauricio Portilla, Felipe Galarce, Ernesto Castillo +1
We present a novel reduced-order data assimilation framework, termed Reduced-Order Dynamical Assimilation (RODAS), for reconstructing high-resolution, time-resolved flow fields fro…
A Stress-Based Estimator for Pressure and Stress Recovery from Velocity Measurements
Nicolás Barnafi, Benjamín Cisternas, Ernesto Castillo +1
Non-invasive pressure field estimation from velocity measurements is a longstanding engineering problem. We propose, analyze, and test a pressure-recovery method that computes a fu…
Improving performance estimation of a PCM-integrated solar chimney through reduced-order based data assimilation
Diego R. Rivera, Ernesto Castillo, Felipe Galarce +1
This study evaluates a data assimilation framework based on reduced-order modeling (ROM-DA), complemented by a hybrid data-filling strategy, to reconstruct dynamic temperature fiel…
Accelerated implicitization: Robust fixed-point iterations arising from an explicit scheme
Nicolas A. Barnafi, Felipe Galarce, Pablo Brubeck
This work proposes a general strategy for solving possibly nonlinear problems arising from implicit time discretizations as a sequence of explicit solutions. The resulting sequence…
Estimation of Hemodynamic Parameters via Physics Informed Neural Networks including Hematocrit Dependent Rheology
Moises Sierpe, Ernesto Castillo, Hernan Mella +1
Physics-Informed Neural Networks (PINNs) show significant potential for solving inverse problems, especially when observations are limited and sparse, provided that the relevant ph…
Data assimilation performed with robust shape registration and graph neural networks: application to aortic coarctation
Francesco Romor, Felipe Galarce, Jan Brüning +2
Image-based, patient-specific modelling of hemodynamics can improve diagnostic capabilities and provide complementary insights to better understand the hemodynamic treatment outcom…
A parametric study of the pipeline hammer phenomenon in plastic Bingham slurry flows using the finite element method
Felipe Galarce, Francisco Martinez
We conduct a numerical study of the transient phenomenon in pipelines transporting plastic Bingham slurry flows, using a lowest-order finite element method (FEM). While most pipeli…
A fast food-freezing temperature estimation framework using optimally located sensors
Felipe Galarce, Diego Rivera, Douglas Pacheco +2
This article presents and assesses a framework for estimating temperature fields in real time for food-freezing applications, significantly reducing computational load while ensuri…
Fully consistent lowest-order finite element methods for generalised Stokes flows with variable viscosity
Felipe Galarce, Douglas R. Q. Pacheco
Variable viscosity arises in many flow scenarios, often imposing numerical challenges. Yet, discretisation methods designed specifically for non-constant viscosity are few, and the…
A stabilized total pressure-formulation of the Biot's poroelasticity equations in frequency domain: numerical analysis and applications
Cristian Cárcamo, Alfonso Caiazzo, Felipe Galarce +1
This work focuses on the numerical solution of the dynamics of a poroelastic material in the frequency domain. We provide a detailed stability analysis based on the application of…
Enhancing Hemodynamic Parameter Estimations: Nonlinear Blood Behavior in 4D Flow MRI
Hernán Mella, Felipe Galarce, Tetsuro Sekine +2
Hemodynamic parameters are often estimated assuming a constant Newtonian viscosity, even though blood exhibits shear-thinning behavior. This article investigates the influence of b…
Bias and Multiscale Correction Methods for Variational State Estimation
Felipe Galarce, Joaquin Mura, Alfonso Caiazzo
Data assimilation performance can be significantly impacted by biased noise in observations, altering the signal magnitude and introducing fast oscillations or discontinuities when…
Displacement and pressure reconstruction from magnetic resonance elastography images: application to an in silico brain model
Felipe Galarce, Karsten Tabelown, Jörg Polzehl +5
Magnetic resonance elastography is a motion-sensitive image modality that allows to measure in vivo tissue displacement fields in response to mechanical excitations. This paper inv…
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems
Felipe Galarce, Damiano Lombardi, Olga Mula
We develop a mathematical and numerical framework to solve state estimation problems for applications that present variations in the shape of the spatial domain. This situation ari…
Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging
Felipe Galarce, Damiano Lombardi, Olga Mula
The present contribution deals with the estimation of haemodynamics Quantities of Interest by exploiting Ultrasound Doppler measurements. A fast method is proposed, based on the PB…
Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models
Felipe Galarce, Jean-Frédéric Gerbeau, Damiano Lombardi +1
This paper deals with the problem of building fast and reliable 3D reconstruction methods for blood flows for which partial information is given by Doppler ultrasound measurements.…