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  • 1995-1999  (1)
  • 1985-1989  (1)
  • Engineering General  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 38 (1995), S. 1475-1506 
    ISSN: 0029-5981
    Keywords: finite elements ; incompressible Navier-Stokes ; upwinding schemes ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper examines a new Galerkin method with scaled bubble functions which replicates the exact artificial diffusion methods in the case of 1-D scalar advection-diffusion and that leads to non-oscillatory solutions as the streamline upwinding algorithms for 2-D scalar advection-diffusion and incompressible Navier-Stokes. This method retains the satisfaction of the Babuska-Brezzi condition and, thus, leads to optimal performance in the incompressible limit. This method, when, combined with the recently proposed linear unconditionally stable algorithms of Simo and Armero (1993), yields a method for solution of the incompressible Navier-Stokes equations ideal for either diffusive or advection-dominated flows. Examples from scalar advection-diffusion and the solution of the incompressible Navier-Stokes equations are presented.
    Additional Material: 24 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 1 (1985), S. 113-121 
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A traction boundary condition is particularly useful when analysing flow governed by the Navier-Stokes equation. For a large range of flow situations, such as fully developed laminar flow in a pipe or far field flow, the values of boundary traction can be evaluated explicitly. The former can be readily determined from the local values of the primitive variables, while the latter corresponds to zero traction. A general approach is advocated where traction boundary conditions can be evaluated as part of the solution procedure and its value is not required, a priori, before the solution can proceed. An iterative procedure for the evaluation and imposition of non-zero tractions on boundaries, where advection is appreciable, is demonstrated by utilizing the finite element method (FEM) to simulate laminar flow, both steady state and transient, rearward of a downstream-facing step within a bounded domain.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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