On the influence of the nonlinear term in the numerical approximation of incompressible flows by means of proper orthogonal decomposition methods
DOI10.1016/j.cma.2022.115866OpenAlexW4313399703MaRDI QIDQ2683451
Bosco García-Archilla, Samuele Rubino, Julia Novo
Publication date: 10 February 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.15358
Navier-Stokes equationsproper orthogonal decompositiongrad-div stabilizationnonlinear term discretization
Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Flow control and optimization for incompressible inviscid fluids (76B75)
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- A numerical solution of the Navier-Stokes equations using the finite element technique
- Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements
- SUPG reduced order models for convection-dominated convection-diffusion-reaction equations
- Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations
- Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation
- Full and reduced order model consistency of the nonlinearity discretization in incompressible flows
- Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations
- An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow
- Numerical comparisons of finite element stabilized methods for a 2D vortex dynamics simulation at high Reynolds number
- Continuous data assimilation reduced order models of fluid flow
- On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
- On conservation laws of Navier-Stokes Galerkin discretizations
- Finite Element Methods for Incompressible Flow Problems
- Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation
- A Connection Between Scott–Vogelius and Grad-Div Stabilized Taylor–Hood FE Approximations of the Navier–Stokes Equations
- Stability of Higher-Order Hood–Taylor Methods
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- New development in freefem++
- Error Analysis of Supremizer Pressure Recovery for POD based Reduced-Order Models of the Time-Dependent Navier--Stokes Equations
- Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows
- Galerkin proper orthogonal decomposition methods for parabolic problems