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minimized due to: spatial discretization via quadratic finite elements and ?
transformation, allowing for optimal representation of water bodies with complex
geometries and bottom topography; wind field and bottom roughness that can vary
dynamically in time and space, and self-adjusting multi-scale turbulence modelling based
on Large Eddy Simulation.
? Eulerian transport model: It is a general purpose advective–di?usive transport model
with kinetic reactions for 2-DH or selected layers of 3-D ?ows with a given thickness.
This model can be used to compute space distribution and fate of dissolved contaminants.
? Water quality models: A set of Eulerian transport models for the coupled simulation of
water quality parameters like salt, temperature, DO-BOD, nitrogen compounds,
phosphorous compounds and biomass. Models can be applied for 2-DH ?ows or for
selected layers of 3-D ?ows with a given thickness. The temperature module of this set
of models can be used to compute the time variation and space distribution of temperature
of thermal plumes occupying a surface layer.
? Lagrangian transport model - deterministic mode: It is a general purpose advective–
di?usive transport model with kinetic reactions for selected layers of 3-D and for 2-DH
?ows. This model is especially suitable for the simulation of plumes or clouds that are
initially small to be well resolved by the discretizing mesh of the associated
hydrodynamic model. Any curve representing a kinetic reaction dependent on the lifetime
of a given particle can be adopted. This model can be used for computing the space
distribution and decay of particulate contaminants. The user can choose to run the model
in free transport mode or conditioned transport mode. The latter being particularly
suitable for simulations of sedimentological processes. The transport can be conditioned
by a minimum velocity, minimum bottom stress due to currents or due to currents and
wind waves. The user can also specify a tolerance band for the limiting condition, in
which the transport of a particle follows a fuzzy decision process.
? Lagrangian transport model - probabilistic mode: In this mode, the user can produce
maps of isolines of probabilities based on N events or for a period of time T. Examples of
outputs are: isolines of probability of visitation of a plume or cloud with concentrations
above a given limit or determination of critical events, as the first event or first time in
which a plume or cloud touches the coastline, etc.
? Wind-wave generation model: For a given wind field, variable in time, the model
computes the wind wave field generated within the model domain, for a persistence of
wind, and time intervals defined by the user. For all nodes in a given domain, the model
computes parameters like significant and root mean square wave heights and periods,
oscillatory bottom stresses, limiting fetches etc.
VIII-3. HYDRODYNAMIC MODELLING DETAILS
The 3-D spatial discretization is achieved via a vertical stack of sub-parametric finite element
meshes using ?-coordinate transformation along the vertical dimension. That is, if one looks
from the top, one sees the horizontal plane of the domain discretized by a single mesh of finite
elements. However, in actual fact, there will be a stack of meshes, one for every ? level. In this
way, vertical discretization is performed automatically once the user defines the number of
desired ? levels (usually between 10 and 50). The 3-D model is automatically activated if at
least 5 ? levels are requested. Elements in a mesh are sub-parametric. The variables in each
element are defined by quadratic Lagrangian polynomials whereas the element geometry is
defined by linear Lagrangian polynomials. Elements in a mesh can be quadrilaterals and/or
triangles. Quadrilaterals are preferred because variables become bi-quadratic, and thus have a
higher accuracy. This discretizing scheme is potentially of fourth order on the ? planes and of