% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Vanderborght:44313,
      author       = {Vanderborght, J. and Kasteel, R. and Herbst, M. and Javaux,
                      M. and Thiery, D. and Vanclooster, M. and Mouvet, C. and
                      Vereecken, H.},
      title        = {{A} {S}et of {A}nalytical {B}enchmarks to {T}est
                      {N}umerical {M}odels of {F}low and {T}ransport in {S}oils},
      journal      = {Vadose zone journal},
      volume       = {4},
      issn         = {1539-1663},
      address      = {Madison, Wis.},
      publisher    = {SSSA},
      reportid     = {PreJuSER-44313},
      pages        = {206 - 221},
      year         = {2005},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {Accurate model predictions of water flow and solute
                      transport in unsaturated soils require a correct
                      representation of relevant mechanisms in a mathematical
                      model, as well as correct solutions of the mathematical
                      equations. Because of the complexity of boundary conditions
                      and the nonlinearity of the processes considered, general
                      solutions of the mathematical equations rely on numerical
                      approximations. We evaluate a number of numerical models
                      (WAVE, $HYDRUS_1D,$ SWAP, MARTHE, and MACRO) that use
                      different numerical methods to solve the flow and transport
                      equations. Our purpose is to give an overview of analytical
                      solutions that can be found for simple initial and boundary
                      conditions and to define benchmark scenarios to check the
                      accuracy of numerical solutions. Included are analytical
                      solutions for coupled transport equations that describe flow
                      and transport in dual-velocity media. The relevance of
                      deviations observed in the analytical benchmarks for more
                      realistic boundary conditions is illustrated an intercode
                      comparison for natural boundary conditions. For the water
                      flow scenarios, the largest deviations between numerical
                      models and analytical solutions were observed for the case
                      of soil limited evaporation. The intercode differences could
                      be attributed to the implementation of the evaporation
                      boundary condition: the spatial discretization and the
                      internode averaging of the hydraulic conductivity in the
                      surface grid layer. For solute transport, accurate modeling
                      of solute dispersion poses the most problems. Nonlinear and
                      nonequilibrium sorption and coupled transport in pore
                      domains with different advection velocities are in general
                      accurately simulated.},
      keywords     = {J (WoSType)},
      cin          = {ICG-IV},
      ddc          = {550},
      cid          = {I:(DE-Juel1)VDB50},
      pnm          = {Chemie und Dynamik der Geo-Biosphäre},
      pid          = {G:(DE-Juel1)FUEK257},
      shelfmark    = {Environmental Sciences / Soil Science / Water Resources},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000227469300020},
      url          = {https://juser.fz-juelich.de/record/44313},
}