A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations (Q2123978)

scientific article; zbMATH DE number 7508508

Language	Label	Description	Also known as
English	A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations	scientific article; zbMATH DE number 7508508

Statements

instance of

scholarly article

0 references

title

A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations (English)

0 references

0 references

0 references

0 references

Journal of Computational Physics

0 references

publication date

14 April 2022

0 references

full work available at URL

https://arxiv.org/abs/1907.05614

0 references

zbMATH Keywords

finite element method

0 references

filtered advection stabilization

0 references

a-posteriori stabilization

0 references

proper orthogonal decomposition

0 references

reduced order models

0 references

convection-dominated flows

0 references

describes a project that uses

0 references

0 references

Analysis of a Full Space–Time Discretization of the Navier–Stokes Equations by a Local Projection Stabilization Method

0 references

A review of variational multiscale methods for the simulation of turbulent incompressible flows

0 references

Numerical study of SUPG and LPS methods combined with higher order variational time discretization schemes applied to time-dependent linear convection-diffusion-reaction equations

0 references

Numerical comparisons of finite element stabilized methods for a 2D vortex dynamics simulation at high Reynolds number

0 references

Shape sensitivity analysis in flow models using a finite-difference approach

0 references

Karhunen-Loève's truncation error for bivariate functions

0 references

Error bounds for POD expansions of parameterized transient temperatures

0 references

Error bounds in high-order Sobolev norms for POD expansions of parameterized transient temperatures

0 references

Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

0 references

Explicit reduced‐order models for the stabilized finite element approximation of the incompressible Navier–Stokes equations

0 references

Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations

0 references

Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations

0 references

Enablers for robust POD models

0 references

Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models

0 references

Functional analysis, Sobolev spaces and partial differential equations

0 references

POD and CVT-based reduced-order modeling of Navier-Stokes flows

0 references

Consistent SUPG-method for transient transport problems: stability and convergence

0 references

A numerical investigation of velocity-pressure reduced order models for incompressible flows

0 references

Q4218301

0 references

A high order term-by-term stabilization solver for incompressible flow problems

0 references

Galerkin approximation with proper orthogonal decomposition: new error estimates and illustrative examples

0 references

Intermodal energy transfers in a proper orthogonal decomposition–Galerkin representation of a turbulent separated flow

0 references

Numerical solution of the three-dimensional advection--diffusion equation.

0 references

Weighted finite difference techniques for the one-dimensional advection-diffusion equation.

0 references

The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations

0 references

An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation

0 references

Low-order modelling of laminar flow regimes past a confined square cylinder

0 references

SUPG reduced order models for convection-dominated convection-diffusion-reaction equations

0 references

Optimal control of vortex shedding using low-order models. Part I?open-loop model development

0 references

Reduced-order models for parameter dependent geometries based on shape sensitivity analysis

0 references

New development in freefem++

0 references

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

0 references

Turbulence, Coherent Structures, Dynamical Systems and Symmetry

0 references

Variational multiscale proper orthogonal decomposition: convection-dominated convection-diffusion-reaction equations

0 references

Are the snapshot difference quotients needed in the proper orthogonal decomposition?

0 references

Variational multiscale proper orthogonal decomposition: Navier‐stokes equations

0 references

On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review

0 references

Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations

0 references

On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment

0 references

Efficient nonlinear proper orthogonal decomposition/Galerkin reduced order models with stable penalty enforcement of boundary conditions

0 references

Local projection stabilization for advection-diffusion-reaction problems: one-level vs. two-level approach

0 references

Galerkin proper orthogonal decomposition methods for parabolic problems

0 references

Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems

0 references

Projection methods for reduced-order models of compressible flows.

0 references

A streamline derivative POD-ROM for advection-diffusion-reaction equations

0 references

Numerical Analysis of a Projection-Based Stabilized POD-ROM for Incompressible Flows

0 references

Large Eddy Simulation for Incompressible Flows

0 references

Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions

0 references

New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs

0 references

Turbulence and the dynamics of coherent structures. I. Coherent structures

0 references

Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations

0 references

Reduced-order models for closed-loop wake control

0 references

Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1016/J.JCP.2020.109916

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2123978