A mass conservative scheme for simulating shallow flows over variable topographies using unstructured grid

Mohamadian, A ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1016/j.advwatres.2004.10.006
  3. Publisher: 2005
  4. Abstract:
  5. Most available numerical methods face problems, in the presence of variable topographies, due to the imbalance between the source and flux terms. Treatments for this problem generally work well for structured grids, but most of them are not directly applicable for unstructured grids. On the other hand, despite of their good performance for discontinuous flows, most available numerical schemes (such as HLL flux and ENO schemes) induce a high level of numerical diffusion in simulating recirculating flows. A numerical method for simulating shallow recirculating flows over a variable topography on unstructured grids is presented. This mass conservative approach can simulate different flow conditions including recirculating, transcritical and discontinuous flows over variable topographies without upwinding of source terms and with a low level of numerical diffusion. Different numerical tests cases are presented to show the performance of the scheme for some challenging problems. © 2004 Published by Elsevier Ltd
  6. Keywords:
  7. Computer simulation ; Numerical methods ; Problem solving ; Discontinuous flows ; Simulating shallow flows ; Unstructured grids ; Flow of fluids ; Flow modeling ; Flow over surface ; Numerical method ; Shallow water ; Topography
  8. Source: Advances in Water Resources ; Volume 28, Issue 5 , 2005 , Pages 523-539 ; 03091708 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0309170804001873