Pressure stability in fractional step finite element methods for incompressible flows
DOI10.1006/jcph.2001.6725zbMath1002.76063OpenAlexW2070528777MaRDI QIDQ5943982
Publication date: 19 March 2002
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://www.scipedia.com/public/Codina_2001b
incompressible flowsmomentum equationpressure gradientfirst-order projection methodpressure Poisson equationpressure stabilitysecond-order schemestabilized fractional step finite element methodtime step size
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (88)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An analysis of the fractional step method
- Application of a fractional-step method to incompressible Navier-Stokes equations
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Stabilized mixed methods for the Stokes problem
- High-order splitting methods for the incompressible Navier-Stokes equations
- Remark on the pressure boundary condition for the projection method
- A numerical method for incompressible viscous flow simulation
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
- Numerical solution of the incompressible Navier-Stokes equations with Coriolis forces based on the discretization of the total time derivative
- Calculation of incompressible viscous flows by an unconditionally stable projection FEM
- A fractional four-step finite element formulation of the unsteady incompressible Navier-Stokes equations using SUPG and linear equal-order element methods
- A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation
- Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection
- Factorization methods for the numerical approximation of Navier-Stokes equations
- Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations
- A second-order projection method for the incompressible Navier-Stokes equations
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- Hopf bifurcation of the unsteady regularized driven cavity flow
- A numerical method for solving incompressible viscous flow problems
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
- 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 analysis of density flow using the velocity correction method
- A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
- Mixed and Hybrid Finite Element Methods
- On stability and convergence of projection methods based on pressure Poisson equation
- The Accuracy of the Fractional Step Method
- A general algorithm for compressible and incompressible flows. Part III: The semi-implicit form
- A little more on stabilized Q1Q1 for transient viscous incompressible flow
- A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
- A COMPARATIVE STUDY OF TIME-STEPPING TECHNIQUES FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS: FROM FULLY IMPLICIT NON-LINEAR SCHEMES TO SEMI-IMPLICIT PROJECTION METHODS
- On error estimates of some higher order penalty-projection methods for Navier-Stokes equations
This page was built for publication: Pressure stability in fractional step finite element methods for incompressible flows