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Development of a 2-D Model for Shallow Water Flow Using Godunov’s Finite Volume Method

[+] Author Affiliations
Martin J. Guillot, Leding Bai

University of New Orleans, New Orleans, LA

Paper No. HT-FED2004-56476, pp. 951-958; 8 pages
doi:10.1115/HT-FED2004-56476
From:
  • ASME 2004 Heat Transfer/Fluids Engineering Summer Conference
  • Volume 2, Parts A and B
  • Charlotte, North Carolina, USA, July 11–15, 2004
  • Conference Sponsors: Heat Transfer Division and Fluids Engineering Division
  • ISBN: 0-7918-4691-1 | eISBN: 0-7918-3740-8
  • Copyright © 2004 by ASME

abstract

In this effort we develop a hydrodynamic model for the 2-D shallow water equations (SWE) using a first order Godunov method. The method is formulated as a discontinuous Galerkin finite element method using constant approximating polynomials. We validate the basic implementation of the computer code using quarter annular tests where analytical solutions are available. We investigate the convergence and stability properties of the method by computing the convergence in the L2 norm and verifying the stability requirement in terms of Courant number. We then apply the method to Lake Pontchartrain to provide a more realistic test of the method. We draw conclusions as to the accuracy requirements of the method and discuss extending the developed computer code to include additional physical models, as well as implementing higher degree approximating polynomials.

Copyright © 2004 by ASME

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