Extension of WAF Type Methods to Non-Homogeneous Shallow Water Equations with Pollutant

  title={Extension of WAF Type Methods to Non-Homogeneous Shallow Water Equations with Pollutant},
  author={Enrique Domingo Fern{\'a}ndez-Nieto and Remedios Gladis Narbona-Reina},
  journal={J. Sci. Comput.},
This paper deals with the extension of the WAF method to discretize Shallow Water Equations with pollutants. We consider two different versions of the WAF method, by approximating the intermediate waves using the flux of HLL or the direct approach of HLLC solver. It is seen that both versions can be written under the same form with different definitions for the approximation of the velocity waves. We also propose an extension of the method to non-homogeneous systems. In the case of homogeneous… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 41 references

Shock-Capturing Methods for Free-Surface Shallow Flows, Wiley, England

  • E. F. Toro
  • 2001
Highly Influential
8 Excerpts

Aproximación numérica de leyes de conservación hiperbólicas no homogéneas. Aplicación a las ecuaciones de aguas someras

  • E. D. Fernández Nieto
  • Ph. D. Thesis Universidad de Sevilla,
  • 2003
Highly Influential
2 Excerpts

Evaluation of well - balanced borecapturing schemes for 2 D wetting and drying processes , Internat

  • P. Bonneton, P. Fabrie, N. Seguin
  • J . Numer . Methods Fluids
  • 2007

Evaluation of well-balanced borecapturing schemes for 2D wetting and drying processes

  • F. Marche, P. Bonneton, P. Fabrie, N. Seguin
  • Internat. J. Numer. Methods Fluids, 53(5): 867…
  • 2007
1 Excerpt

Numerical treatment of wet/dry fronts in shallow flows with a modified Roe scheme

  • M. J. Castro, J. M. González-Vida, C. Parés
  • Math. Mod. Meth. App. Sci. Vol. 16, No. 6, 897…
  • 2006
1 Excerpt

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