Model order reduction in fluid dynamics: challenges and perspectives
This chapter reviews techniques of model reduction of fluid dynamics systems. Fluid systems
are known to be difficult to reduce efficiently due to several reasons. First of all, they exhibit …
are known to be difficult to reduce efficiently due to several reasons. First of all, they exhibit …
A numerical investigation of velocity–pressure reduced order models for incompressible flows
This report has two main goals. First, it numerically investigates three velocity–pressure
reduced order models (ROMs) for incompressible flows. The proper orthogonal …
reduced order models (ROMs) for incompressible flows. The proper orthogonal …
Numerical investigation of single-sided natural ventilation driven by buoyancy and wind through variable window configurations
J Wang, T Zhang, S Wang, F Battaglia - Energy and Buildings, 2018 - Elsevier
Natural ventilation has generally remained the preferred choice for improving thermal
comfort and saving energy related to the built environment. To best represent the …
comfort and saving energy related to the built environment. To best represent the …
Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows
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∞(L 2) and …
model discretization of the Navier–Stokes equations. The stability is proven in L∞(L 2) and …
[PDF][PDF] POD basis interpolation via Inverse Distance Weighting on Grassmann manifolds.
R Mosquera, A Hamdouni… - … Systems-Series S, 2019 - pdfs.semanticscholar.org
An adaptation of the Inverse Distance Weighting (IDW) method to the Grassmann manifold is
carried out for interpolation of parametric POD bases. Our approach does not depend on the …
carried out for interpolation of parametric POD bases. Our approach does not depend on the …
[图书][B] Numerical methods for diffusion phenomena in building physics
Research in diffusion phenomena was started by brilliant scientists in the nineteenth
century, and by the twentieth century, this phenomenon became widespread in many areas …
century, and by the twentieth century, this phenomenon became widespread in many areas …
Multidimensional a priori hyper-reduction of mechanical models involving internal variables
D Ryckelynck, F Vincent, S Cantournet - Computer Methods in Applied …, 2012 - Elsevier
Modeling large systems usually requires metamodels or response surfaces (RSs) of sub-
systems. These metamodels are using sampling points in a parameter domain and related …
systems. These metamodels are using sampling points in a parameter domain and related …
Proper generalized decomposition method for incompressible Navier–Stokes equations with a spectral discretization
Proper Generalized Decomposition (PGD) is a method which consists in looking for the
solution to a problem in a separate form. This approach has been increasingly used over the …
solution to a problem in a separate form. This approach has been increasingly used over the …
A minimum residual projection to build coupled velocity–pressure POD–ROM for incompressible Navier–Stokes equations
The pressure term which appears in the ROM (reduced order model) associated to the
incompressible Navier–Stokes equations, in particular for the shear flows, plays an …
incompressible Navier–Stokes equations, in particular for the shear flows, plays an …
A priori space–time separated representation for the reduced order modeling of low Reynolds number flows
C Leblond, C Allery - Computer Methods in Applied Mechanics and …, 2014 - Elsevier
Reduced order models (ROMs) in fluid dynamics are nowadays mostly developed by
performing a projection of the Navier–Stokes equations onto a low-dimensional space basis …
performing a projection of the Navier–Stokes equations onto a low-dimensional space basis …