Posts by Collection

Stabilized reduced-order models for incompressible flow

VMS ROM for incompressible Navier-Stokes problems.

Adaptive mesh hyper-reduction for ROMs

A mesh-based hyper-reduction technique using adaptive coarsening driven by an a posteriori error estimator, applied to thermally coupled and high Reynolds number flows.

Parametric reduced-order models for complex fluids

ROM for parametrized fluid flow problems, including non-Newtonian fluids.

Frequency Reduced-Basis method: ROM for time-dependent problems

A reduced-basis method for time-dependent PDEs using the Laplace transform, with exponential accuracy guarantees and a fully parallelisable offline stage.

R. Reyes, R. Codina, J. Baiges, S. Idelsohn. Reduced order models for thermally coupled low Mach flows. Advanced Modeling and Simulation in Engineering Sciences. 2019

Element boundary terms in reduced order models for flow problems: Domain decomposition and adaptive coarse mesh hyper‑reduction. Computer Methods in Applied Mechanics and Engineering. 2020

R. Reyes, R. Codina. Projection‑based reduced order models for flow problems: A variational multiscale approach. Computer Methods in Applied Mechanics and Engineering. 2020

R. Reyes, R. Codina, J. Baiges. A posteriori error estimates in a finite element VMS‑based reduced order model for the incompressible Navier‑Stokes equations. Computer Methods in Applied Mechanics and Engineering. 2021

C. Farias, C. Bayona, E. Castillo, R. Cabrales, R. Reyes. Reduced order modeling of parametrized pulsatile blood flows: hematocrit percentage and heart rate. International Journal of Engineering Sciences. 2023.

R. Reyes, O. Ruz, C. Bayona, E. Castillo, A. Tello. Reduced Order Modeling for Parametrized Generalized Newtonian Fluid Flows. Journal of Computational Physics. 2023.

A. Tello, R. Reyes, C. Bayona, R. Codina. Three-Field Fluid-Structure Interaction using the Variational Multiscale Method. In preparation.

R. Reyes. The Frequency Reduced-Basis method: Reduced order models for time-dependent problems using the Laplace transform. Computational Mechanics 2026.

insFEM. I do a lot of the simulations for CFD (and others) using this FORTRAN code. It was developed during my PHD with a lot of friends and colleagues. Although it is by no means an easy task to make it run and to find how everything works, anyone is welcome to use it.

insROM. This is a reduced basis generator Python code that goes along nicely with insFEM.

rsg-py. This is a reduced basis generator Python code that works with FEniCS. It imports the objects from FEniCS, and saves a basis in HDF5.