A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations
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Publication:2020290
DOI10.1016/j.cma.2020.113273zbMath1506.76086arXiv1907.10549OpenAlexW3043398968MaRDI QIDQ2020290
Gianluigi Rozza, Giovanni Stabile, Guglielmo Scovazzi, Efthimios N. Karatzas, Léo Nouveau
Publication date: 23 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.10549
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
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- A numerical investigation of velocity-pressure reduced order models for incompressible flows
- Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method
- Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- On the stability and extension of reduced-order Galerkin models in incompressible flows. A numerical study of vortex shedding
- Proper general decomposition (PGD) for the resolution of Navier-Stokes equations
- The shifted boundary method for hyperbolic systems: embedded domain computations of linear waves and shallow water flows
- Reduction of nonlinear embedded boundary models for problems with evolving interfaces
- A cut-cell finite volume - finite element coupling approach for fluid-structure interaction in compressible flow
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Enablers for robust POD models
- On the stability of the reduced basis method for Stokes equations in parametrized domains
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds.
- Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations
- Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations
- A volume of fluid method based ghost fluid method for compressible multi-fluid flows
- POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Stability and accuracy of periodic flow solutions obtained by a POD-penalty method
- A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow
- A CutFEM method for two-phase flow problems
- Analysis of the shifted boundary method for the Stokes problem
- The shifted boundary method for embedded domain computations. I: Poisson and Stokes problems
- The shifted boundary method for embedded domain computations. II: Linear advection-diffusion and incompressible Navier-Stokes equations
- Projection-based reduced order models for a cut finite element method in parametrized domains
- A cut finite element method for incompressible two-phase Navier-Stokes flows
- High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs
- An immersed interface method for discrete surfaces
- A sharp-interface active penalty method for the incompressible Navier-Stokes equations
- Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13--16, 2015
- A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries
- A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection
- Flow patterns around heart valves: A numerical method
- Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity
- Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations
- CutFEM: Discretizing geometry and partial differential equations
- On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment
- IMMERSED BOUNDARY METHODS
- Continuous Interior Penalty Finite Element Method for Oseen's Equations
- Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
- Numerical Analysis of a Finite Element/Volume Penalty Method
- Numerical solution of parametrized Navier–Stokes equations by reduced basis methods
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- Certified Reduced Basis Methods for Parametrized Saddle Point Problems
- Mixed Finite Element Methods and Applications
- A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries
- An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow
- A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
- Reduced Basis Methods for Partial Differential Equations
- A Cartesian cut cell method for incompressible viscous flow
- The immersed interface method for the Navier-Stokes equations with singular forces
- Reduced basis methods for Stokes equations in domains with non-affine parameter dependence
