A modified convective formulation in Navier-Stokes simulations
DOI10.1007/s10915-023-02286-3zbMath1529.65077OpenAlexW4384821989MaRDI QIDQ6111661
Publication date: 4 August 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-023-02286-3
Navier-Stokes equationsfinite element methodsdivergence-free reconstructionenergy-conserving schemesmodified convective formulation
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) 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 methods applied to problems in fluid mechanics (76M10) 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)
Cites Work
- Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations
- Note on helicity balance of the Galerkin method for the 3D Navier-Stokes equations
- The stabilized extrapolated trapezoidal finite element method for the Navier-Stokes equations
- 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
- Mass conservation of finite element methods for coupled flow-transport problems
- Large-eddy simulations of the vortex-induced vibration of a low mass ratio two-degree-of-freedom circular cylinder at subcritical Reynolds numbers
- 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
- A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem
- Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations
- Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation
- A low-dissipation finite element scheme for scale resolving simulations of turbulent flows
- 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
- Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations
- On conservation laws of Navier-Stokes Galerkin discretizations
- Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
- Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors
- On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
- Time-dependent flow across a step: the slip with friction boundary condition
- Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations
- 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
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- H(div) conforming and DG methods for incompressible Euler’s equations
- Grad-div stablilization for Stokes equations
- Mixed Finite Element Methods and Applications
- A low-order divergence-free H(div)-conforming finite element method for Stokes flows
- A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier--Stokes Equations
- Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II
- Local Mass-Corrections for Continuous Pressure Approximations of Incompressible Flow
- A new linearly extrapolated Crank-Nicolson time-stepping scheme 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
- Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence
- An EMA-conserving, pressure-robust and Re-semi-robust method with A robust reconstruction method for Navier–Stokes
- Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
This page was built for publication: A modified convective formulation in Navier-Stokes simulations