A local solution adapted Tri-Tree multigrid generator and iterative equation solver for mixed finite element formulation of the Navier-Stokes equations

DOI10.1016/0045-7825(95)00949-3zbMath0887.76041OpenAlexW2066923723MaRDI QIDQ1372811

S. O. Wille

Publication date: 25 May 1998

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

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00949-3

zbMATH Keywords

linearizationdriven cavity flowlocal refinementsconstricted tube flowelements with large convection-diffusion ratioNewton formulationpreconditioning algorithms

Mathematics Subject Classification ID

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

Related Items (5)

The three-dimensional prolonged adaptive unstructured finite element multigrid method for the Navier-Stokes equations ⋮ The prolonged adaptive multigrid method for finite element Navier-Stokes equations ⋮ A tri-tree multigrid recoarsement algorithm for the finite element formulation of the Navier-Stokes equations ⋮ A local predictive convection-diffusion refinement indicator for the tri-tree adapted finite element multigrid algorithm for the Navier-Stokes equations ⋮ Unnamed Item

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
• An adaptive finite element procedure for compressible high speed flows
• Adaptive remeshing for compressible flow computations
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• Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
• A numerical solution of the Navier-Stokes equations using the finite element technique
• 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
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of 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
• A preconditioned alternating inner‐outer iterative solution method for the mixed finite element formulation of the Navier‐Stokes equations
• A combined octree/delaunay method for fully automatic 3‐D mesh generation
• Finite element modelling of quasi‐three‐dimensional nearly horizontal flow
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