• A posteriori error estimates in a finite element VMS-based reduced order model for the incompressible Navier-Stokes equations 

  Codina, Ramon; Reyes, Ricardo; Baiges Aznar, Joan (2020-10)
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  In this paper we present an a posteriori error estimate for a reduced order model (ROM) for the incompressible Navier-Stokes equations that is based on the fact that the full order model is a finite element (FE) approximation. ...
• An adaptive Finite Element strategy for the numerical simulation of additive manufacturing processes 

  Baiges Aznar, Joan; Chiumenti, Michele; Filho, Carlos Augusto Moreira; Cervera Ruiz, Miguel; Codina, Ramon (Elsevier, 2021-01)
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  In this work an adaptive Finite Element strategy to deal with the numerical simulation of Additive Manufacturing (AM) processes is presented. The Selective Laser Melting (SLM) is chosen as the reference technology because ...
• Field-to-field coupled fluid structure interaction: a reduced order model study 

  Tello Guerra, Alexis; Codina, Ramon (2021-01)
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  The standard Fluid-Structure Interaction (fsi) coupling, that uses as unknowns velocity and pressure for the fluid and displacements for the solid, is compared against two novel types of coupling, the first one a three-field ...
• A stabilized mixed finite element approximation for incompressible finite strain solid dynamics using a total Lagrangian formulation 

  Castañar Pérez, Inocencio; Baiges Aznar, Joan; Codina, Ramon (2020-08)
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  In this work a new methodology for both the nearly and fully incompressible transient finite strain solid mechanics problem is presented. To this end, the momentum equation is complemented with a constitutive law for the ...
• Solution of transient viscoelastic flow problems approximated by a term-by-term VMS stabilized finite element formulation using time-dependent subgrid-scales 

  Moreno Martínez, Laura; Codina, Ramon; Baiges Aznar, Joan (2020-08)
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  Some finite element stabilized formulations for transient viscoelastic flow problems are presented in this paper. These are based on the Variational Multiscale (VMS) method, following the approach introduced in Castillo ...
• Element boundary terms in reduced order models for flow problems: domain decomposition and adaptive coarse mesh hyper-reduction 

  Reyes, Ricardo; Codina, Ramon (2020-08)
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  In this paper we present a finite-element based reduced order model and, in particular, we consider two aspects related to the introduction of inter-element boundary terms in the formulation. The first is a domain decomposition ...
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  Fluid structure interaction by means of variational multiscale reduced order models 

  Tello Guerra, Alexis; Codina, Ramon; Baiges Aznar, Joan (2020-06)
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  Open Access

  A reduced order model designed by means of a variational multiscale stabilized formulation has been applied successfully to fluid-structure interaction problems in a strongly coupled partitioned solution scheme. Details ...
• Projection-based reduced order models for flow problems: a variational multiscale approach 

  Reyes, Ricardo; Codina, Ramon (2020-05)
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  In this paper we present a Variational Multi-Scale stabilized formulation for a general projection-based Reduced Order Model. In the stabilized formulation we address techniques already analysed in Variational Multi-Scale-Finite ...
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  Stationary and time-dependent numerical approximation of the lid-driven cavity problem for power-law fluid flows at high Reynolds numbers using a stabilized finite element formulation of the VMS type 

  Aguirre, A.; Castillo, Ernesto; Cruchaga, Marcela A.; Codina, Ramon; Baiges Aznar, Joan (2018-07)
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  Open Access

  In this work, a variational multiscale finite element formulation is used to approximate numerically the lid-driven cavity flow problem for high Reynolds numbers. For Newtonian fluids, this benchmark case has been extensively ...
• Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation 

  Moreno Martínez, Laura; Codina, Ramon; Baiges Aznar, Joan; Castillo, Ernesto (2019-09)
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  The log-conformation reformulation, originally proposed by Fattal and Kupferman (2004), allows computing incompressible viscoelastic problems with high Weissenberg numbers which are impossible to solve with the typical ...
• A fractional step method for computational aeroacoustics using weak imposition of Dirichlet boundary conditions 

  Parada Bustelo, Samuel; Baiges Aznar, Joan; Codina, Ramon (Elsevier, 2020-01)
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  In this work we consider the approximation of the isentropic Navier–Stokes equations. The model we present is capable of taking into account acoustic and flow scales at once. After space and time discretizations have been ...
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  A finite element reduced-order model based on adaptive mesh refinement and artificial neural networks 

  Baiges Aznar, Joan; Codina, Ramon; Castañar Pérez, Inocencio; Castillo, Ernesto (John Wiley & sons, 2020-02)
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  Open Access

  In this work, a reduced-order model based on adaptive finite element meshes and a correction term obtained by using an artificial neural network (FAN-ROM) is presented. The idea is to run a high-fidelity simulation by using ...

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