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An Unstructured Finite-Volume Technique for Shallow-Water Flows With Wetting and Drying Fronts

[+] Author Affiliations
Kim Dan Nguyen, Rajendra K. Ray

Université Paris-Est, Chatou, France

Paper No. AJK2011-35017, pp. 4029-4034; 6 pages
doi:10.1115/AJK2011-35017
From:
  • ASME-JSME-KSME 2011 Joint Fluids Engineering Conference
  • ASME-JSME-KSME 2011 Joint Fluids Engineering Conference: Volume 1, Symposia – Parts A, B, C, and D
  • Hamamatsu, Japan, July 24–29, 2011
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 978-0-7918-4440-3
  • Copyright © 2011 by JSME

abstract

An unstructured finite volume numerical model is presented here for simulating shallow-water flows with wetting and drying fronts. The model is based on the Green’s theorem in combination with Chorin’s projection method. A 2nd -order upwind scheme coupled with a Least Square technique is used to handle convection terms. An Wetting and drying treatment is used in the present model to ensures the total mass conservation. To test it’s capacity and reliability, the present model is used to solve the Parabolic Bowl problem. We compare our numerical solutions with the corresponding analytical and existing standard numerical results. Excellent agreements are found in all the cases.

Copyright © 2011 by JSME

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