A preconditioned alternating inner‐outer iterative solution method for the mixed finite element formulation of the Navier‐Stokes equations

DOI10.1002/fld.1650181202zbMath0806.76047OpenAlexW2124139243MaRDI QIDQ4305097

S. O. Wille

Publication date: 6 September 1994

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.1650181202

zbMATH Keywords

ILU factorizationstorage schemeBi-CGSTABincomplete LU preconditionercoupled node fill-in preconditioner

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems, The prolonged adaptive multigrid method for finite element Navier-Stokes equations, A local solution adapted Tri-Tree multigrid generator and iterative equation solver for mixed finite element formulation of the Navier-Stokes equations, Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations, A Fully-coupled Newton-Krylov Solution Method for Parallel Unstructured Finite Element Fluid Flow, Heat and Mass Transfer Simulations, Unnamed Item, Unnamed Item, Krylov-based Uzawa algorithms for the solution of the Stokes equations using discontinuous-pressure tetrahedral finite elements

Uses Software

• CGS
• symrcm

Cites Work

• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
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• Polynomial Preconditioners for Conjugate Gradient Calculations
• Performance of iterative methods for Newtonian and generalized Newtonian flows
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• A preconditioned conjugate gradient Uzawa-type method for the solution of the stokes problem by mixed Q1-P0 stabilized finite elements
• A structured tri-tree search method for generation of optimal unstructured finite element grids in two and three dimensions
• An ILU preconditioner with coupled node fill-in for iterative solution of the mixed finite element formulation of the 2D and 3D Navier-Stokes equations
• Finite element modelling of quasi‐three‐dimensional nearly horizontal flow