Dealing with pressure: FEM solution strategies for the pressure in the time-dependent Navier-Stokes equations
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Publication:4543790
DOI10.1002/fld.218zbMath1031.76026OpenAlexW1971024984MaRDI QIDQ4543790
Publication date: 8 August 2002
Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/fld.218
pressure-Poisson equationA-conjugate projectionSSOR preconditioned conjugate gradient methodstabilized pressure-Poisson operator
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- A high-order projection method for tracking fluid interfaces in variable density incompressible flows
- Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes problem
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- An adaptive level set approach for incompressible two-phase flows
- A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
- Calculation of incompressible viscous flows by an unconditionally stable projection FEM
- A domain-decomposition message-passing approach to transient viscous incompressible flow using explicit time integration
- A second-order projection method for the incompressible Navier-Stokes equations
- A projection method for locally refined grids
- 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
- 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
- Efficient Polynomial Preconditioning for the Conjugate Gradient Method
- A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
- Efficient Implementations of Certain Iterative Methods
- Some fast 3D finite element solvers for the generalized Stokes problem
- The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 1
- The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier-Stokes equations: Part 2
- Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods
- A preconditioned conjugate gradient Uzawa-type method for the solution of the stokes problem by mixed Q1-P0 stabilized finite elements
- Fast Iterative Solution of Stabilised Stokes Systems. Part I: Using Simple Diagonal Preconditioners
- A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows
- Iterative solution techniques for the stokes and Navier‐Stokes equations
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides
- A little more on stabilized Q1Q1 for transient viscous incompressible flow
- A Numerical Method for the Incompressible Navier-Stokes Equations Based on an Approximate Projection
- A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 1: Theory
- A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 2: Applications
