An EMA-conserving, pressure-robust and Re-semi-robust method with A robust reconstruction method for Navier–Stokes
From MaRDI portal
Publication:6044899
DOI10.1051/m2an/2022093zbMath1529.65076arXiv2108.08355OpenAlexW4309331680MaRDI QIDQ6044899
Publication date: 25 May 2023
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.08355
finite element methodsunsteady Navier-Stokes equationspressure-robustnessEMAC formulationre-semi-robustness
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Viscous vortex flows (76D17)
Related Items (2)
Numerical analysis of the SAV scheme for the EMAC formulation of the time-dependent Navier-Stokes equations ⋮ A modified convective formulation in Navier-Stokes simulations
Cites Work
- Unnamed Item
- Unnamed Item
- Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations
- Mixed discontinuous Galerkin methods for Darcy flow
- Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
- On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
- Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra
- Generalized finite element systems for smooth differential forms and Stokes' problem
- Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements
- A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations
- A low-order Galerkin finite element method for the Navier-Stokes equations of steady incompressible flow: a stabilization issue and iterative methods.
- Discrete approximations with additional conserved quantities: deterministic and statistical behavior
- An embedded-hybridized discontinuous Galerkin finite element method for the Stokes 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
- Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations
- On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
- Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equations
- Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization
- Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations
- On velocity errors due to irrotational forces in the Navier-Stokes momentum balance
- On conservation laws of Navier-Stokes Galerkin discretizations
- Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods
- Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
- Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors
- Finite Element Methods for Incompressible Flow Problems
- Conforming and divergence-free Stokes elements on general triangular meshes
- H(div)-CONFORMING FINITE ELEMENTS FOR THE BRINKMAN PROBLEM
- A Connection Between Scott–Vogelius and Grad-Div Stabilized Taylor–Hood FE Approximations of the Navier–Stokes Equations
- New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
- An Energy- and Helicity-Conserving Finite Element Scheme for the Navier–Stokes Equations
- Analysis of Some Finite Elements for the Stokes Problem
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Models for Ocean Circulation Problems
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations
- A family of nonconforming elements for the Brinkman problem
- A new family of stable mixed finite elements for the 3D Stokes equations
- Grad-div stablilization for Stokes equations
- Mixed Finite Element Methods and Applications
- Divergence-free Scott--Vogelius Elements on Curved Domains
- Symmetric pressure stabilization for equal-order finite element approximations to the time-dependent Navier–Stokes equations
- A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier--Stokes Equations
- On high-order pressure-robust space discretisations, their advantages for incompressible high Reynolds number generalised Beltrami flows and beyond
- Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II
- Error analysis of non inf-sup stable discretizations of the time-dependent Navier–Stokes equations with local projection stabilization
- Discrete and conforming smooth de Rham complexes in three dimensions
- A Finite Element Variational Multiscale Method for the Navier--Stokes Equations
- Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence--Free Approximations in Arbitrary Dimensions
- The Mathematical Theory of Finite Element Methods
- Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
This page was built for publication: An EMA-conserving, pressure-robust and Re-semi-robust method with A robust reconstruction method for Navier–Stokes
