A standard Galerkin finite element penalty function method is used to approximate the solution of the threedimensional Navier-Stokes equations for steady incompressible Newtonian entrance flow in a 90" curved tube (curvature ratio 6 = 1/6) for a triple of Dean numbers (K = 41,122 and 204). The compu
A finite element approximation of the flow in a curved tube
β Scribed by Adel Boules
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 695 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0045-7930
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π SIMILAR VOLUMES
= radial position rl, r2 = inner and outer radii of the annulus r H = ( r 2 -r l ) / 2 = hydraulic radius Re = Reynoldsnumber u = local velocity in the x direction u, = maximum velocity in the entrance region Umf = maximum velocity in the fully developed flow = average velocity Ws = ( u / K ) ( < u
## Abstract A curved cubic triangular element which has as nodal parameters the value of the function and its two derivatives is derived by use of a transformation similar to that used for quadrilateral isoparametric elements. A special form of the element which may be used to satisfy the condition
We analyze the finite element approximation of the spectral problem for the linear elasticity equation with mixed boundary conditions on a curved non-convex domain. In the framework of the abstract spectral approximation theory, we obtain optimal order error estimates for the approximation of eigenv