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  • Articles: DFG German National Licenses  (12)
  • Engineering  (12)
  • 11
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 25 (1997), S. 931-952 
    ISSN: 0271-2091
    Keywords: finite element method ; free surface ; updated Lagrangian-Eulerian ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: An updated free surface Lagrangian-Eulerian finite element kinematic description is used to simulate free surface flow problems associated with mould filling. The method proposed results in an accurate determination of the front, making it ideal for problems in which free surface boundary conditions play an important role. Significant saving in CPU time can be obtained over other fixed mesh approaches by virtue of the air domain being ignored. Assuming a laminar regime for the flow field, a mixed interpolation formulation is used to approximate the discretized governing equations for elimination.   Of particular interest is the method implementation to restrict the number of remeshing operations and track the moving free surface within an arbitrary domain, either with or without internal obstacles. The method used to automatically assign boundary conditions to the changing domain is described. A dam break problem is modelled numerically and compared against experimentally derived data in order to validate the model. A further numerical example demonstrates the capabilities of the algorithm developed to model the filling of an industrial casting. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 23 Ill.
    Type of Medium: Electronic Resource
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  • 12
    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
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