A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems (Q2147279)

scientific article; zbMATH DE number 7546663

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English	A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems	scientific article; zbMATH DE number 7546663

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instance of

scholarly article

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title

A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems (English)

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Efthimios N. Karatzas

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publication date

23 June 2022

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full work available at URL

https://arxiv.org/abs/2010.04953

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zbMATH Keywords

reduced order models

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unfitted mesh

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cut finite element method

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Navier-Stokes equations

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parameter-dependent shape geometry

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describes a project that uses

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Projection-based reduced order models for a cut finite element method in parametrized domains

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A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow

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A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations

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Mixed Finite Element Methods and Applications

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Fluid-structure interactions. Models, analysis and finite elements

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CutFEM: Discretizing geometry and partial differential equations

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

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Efficient reduced models and<i>a posteriori</i>error estimation for parametrized dynamical systems by offline/online decomposition

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

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Reduced Basis Methods for Partial Differential Equations

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Proper general decomposition (PGD) for the resolution of Navier-Stokes equations

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Reduction of nonlinear embedded boundary models for problems with evolving interfaces

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A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries

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<i>A posteriori</i>error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds.

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Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

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Numerical solution of parametrized Navier–Stokes equations by reduced basis methods

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Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem

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Ghost penalty

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Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence

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Interior penalty variational multiscale method for the incompressible Navier-Stokes equation: monitoring artificial dissipation

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Mesh adaptation for Dirichlet flow control via Nitsche's method

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A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions

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A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations

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

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Certified Reduced Basis Methods for Parametrized Saddle Point Problems

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Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

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Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations

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On the stability and extension of reduced-order Galerkin models in incompressible flows. A numerical study of vortex shedding

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Enablers for robust POD models

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Stability and accuracy of periodic flow solutions obtained by a POD-penalty method

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

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On the stability of the reduced basis method for Stokes equations in parametrized domains

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

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POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder

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Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

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A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity

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An Eulerian finite element method for PDEs in time-dependent domains

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Reduced-Order Semi-Implicit Schemes for Fluid-Structure Interaction Problems

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Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics

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Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13--16, 2015

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Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows

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A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements

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A higher-order discontinuous Galerkin/arbitrary Lagrangian Eulerian partitioned approach to solving fluid-structure interaction problems with incompressible, viscous fluids and elastic structures

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Model Order Reduction for Problems with Large Convection Effects

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published in

Computers & Mathematics with Applications

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CAMWA.2021.07.016

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Sitelinks

Mathematics(1 entry)

mardi Publication:2147279