15 citations · 24 across the 12 of their papers we have counts for
14 papers
Second order reduced model via incremental projection for Navier Stokes
Yayu Guo, Carlos Núñez Fernández, Samuele Rubino +1
The numerical simulation of incompressible flows is challenging due to the tight coupling of velocity and pressure. Projection methods offer an effective solution by decoupling the…
General Order Virtual Element Approximation for the Smagorinsky turbulence model
Stefano Berrone, Karol L. Cascavita, Enrique Delgado Ávila +3
In this paper, we investigate a Smagorinsky model in a virtual element framework to simulate convection-dominated Navier-Stokes equations. We conduct a two-dimensional numerical in…
Reduced-Order Time Splitting for Navier-Stokes with Open Boundaries
Mejdi Azaïez, Tomás Chacón Rebollo, Carlos Núñez Fernández +1
In this work, we propose a Proper Orthogonal Decomposition-Reduced Order Model (POD-ROM) applied to time-splitting schemes for solving the Navier-Stokes equations with open boundar…
Residual Data-Driven Variational Multiscale Reduced Order Models for Parameter Dependent Problems
Birgul Koc, Samuele Rubino, Tomás Chaón Rebollo +1
In this paper, we investigate the modeling of sub-scale components of proper orthogonal decomposition reduced order models (POD-ROMs) of convection-dominated flows. We propose ROM…
Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows
Tomás Chacón Rebollo, Samuele Rubino, Mourad Oulghelou +1
This article presents error bounds for a velocity-pressure segregated POD reduced order model discretization of the Navier-Stokes equations. The stability is proven in L infinity (…
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
Birgul Koc, Tomás Chacón Rebollo, Samuele Rubino
In this paper, we prove uniform error bounds for proper orthogonal decomposition (POD) reduced order modeling (ROM) of Burgers equation, considering difference quotients (DQs), int…
On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods
Bosco García-Archilla, Julia Novo, Samuele Rubino
We consider proper orthogonal decomposition (POD) methods to approximate the incompressible Navier-Stokes equations. We study the case in which one discretization for the nonlinear…
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
Birgul Koc, Samuele Rubino, Michael Schneier +2
In this paper, we resolve several long standing issues dealing with optimal pointwise in time error bounds for proper orthogonal decomposition (POD) reduced order modeling of the h…
Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows
Julia Novo, Samuele Rubino
Proper orthogonal decomposition (POD) stabilized methods for the Navier-Stokes equations are considered and analyzed. We consider two cases, the case in which the snapshots are bas…
Error analysis of proper orthogonal decomposition data assimilation schemes for the Navier-Stokes equations
Bosco García Archilla, Julia Novo, Samuele Rubino
The error analysis of a proper orthogonal decomposition (POD) data assimilation (DA) scheme for the Navier-Stokes equations is carried out. A grad-div stabilization term is added t…
Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows
Samuele Rubino
In this paper, we propose a new stabilized projection-based POD-ROM for the numerical simulation of incompressible flows. The new method draws inspiration from successful numerical…
A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations
Mejdi Azaïez, Tomás Chacón Rebollo, Samuele Rubino
In this paper, we propose to improve the stabilized POD-ROM introduced by S. Rubino in [37] to deal with the numerical simulation of advection-dominated advection-diffusion-reactio…
Numerical comparisons of finite element stabilized methods for high Reynolds numbers vortex dynamics simulations
Naveed Ahmed, Samuele Rubino
In this paper, we consider up-to-date and classical Finite Element (FE) stabilized methods for time-dependent incompressible flows. All studied methods belong to the Variational Mu…
Streamline derivative projection-based POD-ROM for convection-dominated flows. Part I : Numerical Analysis
Mejdi Azaïez, Tomás Chacón Rebollo, Samuele Rubino
We introduce improved Reduced Order Models (ROM) for convection-dominated flows. These non-linear closure models are inspired from successful numerical stabilization techniques use…