scientific article; zbMATH DE number 1234804
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Publication:4221537
DOI<877::AID-FLD628>3.0.CO;2-6 10.1002/(SICI)1097-0363(19980430)26:8<877::AID-FLD628>3.0.CO;2-6zbMath0912.76028MaRDI QIDQ4221537
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Publication date: 25 May 1999
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primitive variable formulationGauss-Newton methodB-spline basis functionsartificial compressibility formulationBabuska-Brezzi stability criterionmatrix governing equations
Numerical computation using splines (65D07) General theory of rotating fluids (76U05) Finite element methods applied to problems in fluid mechanics (76M10)
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A stable explicit fractional step procedure for the solution of heat and fluid flow through interfaces between saturated porous media and free fluids in presence of high source terms ⋮ New benchmark solutions for transient natural convection in partially porous annuli ⋮ A fast immersed interface method for solving Stokes flows on irregular domains ⋮ Efficient three-dimensional FEM based algorithm for the solution of convection in partly porous domains ⋮ A multigrid finite difference approach to steady flow between eccentric rotating cylinders ⋮ B-spline Methods in Fluid Dynamics ⋮ Numerical study of eccentric Couette-Taylor flows and effect of eccentricity on flow patterns ⋮ On a collocation B-spline method for the solution of the Navier-Stokes equations
Cites Work
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Flow of variable-viscosity fluid between eccentric rotating cylinders
- Difference approximations for singular perturbations of systems of ordinary differential equations
- Spline function representations for computer solutions to fluid problems
- A practical guide to splines
- Flow of a non-Newtonian fluid between eccentric rotating cylinders
- Error-bounds for finite element method
- A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems
- Incompressibility without tears—HOW to avoid restrictions of mixed formulation
- A Petrov–Galerkin formulation for the incompressible Navier–Stokes equations using equal order interpolation for velocity and pressure
- Finite element methods for second order differential equations with significant first derivatives
- An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
- Non-local effects in the stability of flow between eccentric rotating cylinders
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