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Finite-Element Methods for Free-Surface Flow

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Computer Modeling of Free-Surface and Pressurized Flows

Part of the book series: NATO ASI Series ((NSSE,volume 274))

Abstract

The finite element method for free surface flows is described. The topics presented include: the use of elements to discretize the solution domain, shape functions to interpolate values within these elements (with emphasis on linear and quadratic shape functions for one-and two-dimensional problems), application of Galerkin’s method to a simple differential equation, as well as to the Navier-Stokes and continuity equations, integration by parts, coordinate transformations, numerical integration, boundary conditions, solution of non-linear equations, and integrating the unsteady term. These methods are applied to the evaluation of the Galerkin integral for the continuity equation.

A portion of the material of this chapter is taken from Finnie, J.I., “Finite-Element Methods” in Chaudhry, M.H., Open-Channel Flow, 1993, with permission.

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, University of Idaho, Moscow, ID, 83844-1022, USA

    John I. Finnie

Authors
  1. John I. Finnie
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Editor information

Editors and Affiliations

  1. Washington State University, Pullman, WA, USA

    M. Hanif Chaudhry

  2. Arizona State University, Tempe, AZ, USA

    Larry W. Mays

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© 1994 Springer Science+Business Media Dordrecht

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Finnie, J.I. (1994). Finite-Element Methods for Free-Surface Flow. In: Chaudhry, M.H., Mays, L.W. (eds) Computer Modeling of Free-Surface and Pressurized Flows. NATO ASI Series, vol 274. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0964-2_5

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  • DOI: https://doi.org/10.1007/978-94-011-0964-2_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4417-2

  • Online ISBN: 978-94-011-0964-2

  • eBook Packages: Springer Book Archive

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