Development of a finite element solution for the unsteady Navier-Stokes equations using projection method and fractional-\(\theta\)-scheme

DOI10.1016/S0045-7825(00)00320-0zbMath1015.76041OpenAlexW2090089547MaRDI QIDQ5939407

Chun-Ho Liu, Dennis Y. C. Leung

Publication date: 29 July 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(00)00320-0

zbMATH Keywords

square cylinderprojection methodbackward-facing steppreconditioned conjugate gradient methoddriven cavityconsistent streamline upwind Petrov-Galerkin finite element methodfractional-theta-schemenon-stationary incompressible Navier-Stokes equationspreconditioned quasi-minimal residual methodvelocity-pressure formulation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (7)

Performance analysis of a parallel finite element solution to the direct numerical simulation of fluid turbulence on linux PC clusters ⋮ A global meshless collocation particular solution method for solving the two-dimensional Navier-Stokes system of equations ⋮ The use of artificial compressibility to improve partitioned semi-implicit FSI coupling within the classical Chorin-Témam projection framework ⋮ Numerical solution of the incompressible Navier–Stokes equations with exponential type schemes ⋮ Boundary domain integral method for high Reynolds viscous fluid flows in complex planar geometries ⋮ Parallel FEM LES with one-equation subgrid-scale model for incompressible flows ⋮ <scp>S</scp>chwarz alternating domain decomposition approach for the solution of two‐dimensional <scp>N</scp>avier–<scp>S</scp>tokes flow problems by the method of approximate particular solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• The treatment of spurious pressure modes in spectral incompressible flow calculations
• A numerical solution of the Navier-Stokes equations using the finite element technique
• A finite element formulation for incompressible flow problems using a generalized streamline operator
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• 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
• A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems
• The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 1
• A finite element scheme based on the velocity correction method for the solution of the time‐dependent incompressible Navier‐Stokes equations
• A finite element solution of the time‐dependent incompressible Navier–Stokes equations using a modified velocity correction method
• Tools for simulating non‐stationary incompressible flow via discretely divergence‐free finite element models
• Finite element solution of the streamfunction‐vorticity equations for incompressible two‐dimensional flows

This page was built for publication: Development of a finite element solution for the unsteady Navier-Stokes equations using projection method and fractional-\(\theta\)-scheme