Optimal vorticity accuracy in an efficient velocity-vorticity method for the 2D Navier-Stokes equations

DOI10.1007/s10092-018-0246-7zbMath1450.65114OpenAlexW2790716130MaRDI QIDQ1742970

Leo G. Rebholz, Mine Akbas, Camille Zerfas

Publication date: 12 April 2018

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-018-0246-7

zbMATH Keywords

Navier-Stokes equationvelocity-vorticity model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Viscous vortex flows (76D17)

Related Items (4)

On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions ⋮ On the weak and strong solutions of the velocity-vorticity model of the $g$-Navier-Stokes equations ⋮ Unconditional Long Time $\text{H}^1$-Stability of a Velocity-Vorticity-Temperature Scheme for the $2\text{D}$-Boussinesq System ⋮ Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations
• Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations
• On the accuracy of the rotation form in simulations of the Navier-Stokes equations
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models.
• Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows
• On conservation laws of Navier-Stokes Galerkin discretizations
• Error-bounds for finite element method
• Natural vorticity boundary conditions on solid walls
• On Error Analysis for the 3D Navier–Stokes Equations in Velocity-Vorticity-Helicity Form
• 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 1: Theory
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• Finite Element Methods for Navier-Stokes Equations
• Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
• Approximation of time‐dependent, viscoelastic fluid flow: Crank‐Nicolson, finite element approximation
• A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm
• Simulations of the unsteady separated flow past a normal flat plate
• Far-wake characteristics of two-dimensional flow past a normal flat plate
• On the long‐time stability of the Crank–Nicolson scheme for the 2D Navier–Stokes equations
• The Mathematical Theory of Finite Element Methods
• On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations

This page was built for publication: Optimal vorticity accuracy in an efficient velocity-vorticity method for the 2D Navier-Stokes equations