A mixed Lagrangian–Eulerian approach to modelling fluid flow during mould filling

✍ Scribed by R. W. Lewis; S. E. Navti; C. Taylor

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 507 KB
• Volume: 25
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19971030)25:8<931::aid-fld594>3.0.co;2-1

✦ Synopsis

An updated free surface Lagrangian±Eulerian ®nite element kinematic description is used to simulate free surface ¯ow problems associated with mould ®lling. 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. Signi®cant saving in CPU time can be obtained over other ®xed mesh approaches by virtue of the air domain being ignored. Assuming a laminar regime for the ¯ow ®eld, 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 ®lling of an industrial casting.