Finite element and stream-tube formulations for flow computations—two-dimensional applications

Magdeleine Normandin, Dana Grecov Radu, Ahmad Mahmoud and Jean-Robert Clermont

Mathematics and Computers in Simulation (MATCOM), 2002, vol. 60, issue 1, 129-134

Abstract: This paper presents a velocity/pressure/function-of-transformation formulation to simulate two- and three-dimensional flows by a finite element Galerkin technique associated to stream-tube analysis. The latter method involves an unknown transformation. Applications are given for plane and axisymmetric flows with slip or no-slip conditions at the wall and with free surfaces. In the mapped domain, two-dimensional streamline Hermite elements, well-adapted to various boundary conditions, are considered. The numerical results for a Newtonian fluid are found to be consistent with those of the literature and highlight singularity effects that arise at the transition zone of change of boundary conditions, in stick-slip and swell flow problems.

Keywords: Stream-tube method; Mapping functions; Galerkin method; Hermite finite elements; Stick-slip; Free-surface flow (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:60:y:2002:i:1:p:129-134

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