A three-step finite element method for unsteady incompressible flows

DOI10.1007/BF00350093zbMath0771.76038OpenAlexW2007872688MaRDI QIDQ2367878

Chun Bo Jiang, Mutsuto Kawahara

Publication date: 16 August 1993

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00350093

zbMATH Keywords

stability analysisthird-order accuracyvortex pairingmarker and cell techniquenonlinear multi-dimensional problems

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
• Finite element methods for nonlinear advection
• Petrov-Galerkin formulations with weighting functions dependent upon spatial and temporal discretization: Applications to transient convection-diffusion problems
• An analysis of time discretization in the finite element solution of hyperbolic problems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Driven cavity flows by efficient numerical techniques
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• A Taylor-Galerkin method for convective transport problems
• The solution of non-linear hyperbolic equation systems by the finite element method
• A fractional‐step Taylor–Galerkin method for unsteady incompressible flows
• A transient solution method for the finite element incompressible Navier-Stokes equations
• On pressure boundary conditions for the incompressible Navier-Stokes equations
• A multigrid method for recirculating flows
• A new outflow boundary condition
• On cavity flow at high Reynolds numbers
• A Taylor–Galerkin‐based algorithm for viscous incompressible flow
• A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 1: Theory