A note on benchmarking of numerical models for density dependent flow in porous media

Ataie Ashtiani, B ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1016/j.advwatres.2006.01.009
  3. Publisher: 2006
  4. Abstract:
  5. Verification of numerical models for density dependent flow in porous media (DDFPM) by the means of appropriate benchmark problems is a very important step in developing and using these models. Recently, Infinite Horizontal Box (IHB) problem was suggested as a possible benchmark problem for verification of DDFPM codes. IHB is based on Horton-Rogers-Lapwood (HRL) problem. Suitability of this problem for the benchmarking purpose has been investigated in this paper. It is shown that the wavelength of instabilities fails to be a proper criterion to be considered for this problem. However, the threshold of instability formation has been found to be appropriate for benchmarking purpose. © 2006 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Benchmark problem ; Density dependent flow ; Horton-Rogers-Lapwood problem ; Numerical model ; Rayleigh number ; Porous materials ; Benchmarking ; Groundwater flow ; Mathematical models ; Porous medium
  8. Source: Advances in Water Resources ; Volume 29, Issue 12 , 2006 , Pages 1918-1923 ; 03091708 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0309170806000273