On upwind methods for parabolic finite elements in incompressible flows

DOI<317::AID-NME773>3.0.CO;2-N 10.1002/(SICI)1097-0207(20000110/30)47:1/3<317::AID-NME773>3.0.CO;2-NzbMath0966.76047OpenAlexW2082865366MaRDI QIDQ4493650

Klaus-Jürgen Bathe, Dena Hendriana

Publication date: 16 August 2001

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(20000110/30)47:1/3<317::aid-nme773>3.0.co;2-n

zbMATH Keywords

upwind techniquesGalerkin least squares techniquehigh-order derivative artificial diffusion methodideal upwind procedureincompressible high Reynolds number flowparabolic finite element discretizationsstreamline upwind Petrov/Galerkin metod

Mathematics Subject Classification ID

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

Related Items (6)

A FLOW-CONDITION-BASED INTERPOLATION MIXED FINITE ELEMENT PROCEDURE FOR HIGHER REYNOLDS NUMBER FLUID FLOWS ⋮ Boundary element methods for transient convective diffusion. I: General formulation and 1D implementation. ⋮ A three-level finite element method for the instationary incompressible Navier-Stokes equations ⋮ A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations ⋮ A comparison of several numerical methods for the solution of the convection-diffusion equation using the method of finite spheres ⋮ A flow‐condition‐based interpolation finite element procedure for triangular grids

Cites Work

• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
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• A relationship between stabilized finite element methods and the Galerkin method with bubble functions
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• An \(h\)-\(p\) Taylor-Galerkin finite element method for compressible Euler equations
• The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements
• Stabilized finite element methods. II: The incompressible Navier-Stokes equations
• Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems
• Equal-order interpolations: A unified approach to stabilize the incompressible and advective effects
• A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation
• A generalized Galerkin method for steady convection-diffusion problems with application to quadratic shape function elements
• Mixed and Hybrid Finite Element Methods

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