Source code for imod.mf6.adv
"""
When simulating transport, MODFLOW6 needs to compute the concentration at a
cellface between 2 adjacent cells. It supports 3 ways of doing this. Each of
those has its own wrapper class. These numerical schemes differ in how much
numerical dispersion they cause, how much oscillations, and how timestep and
grid size affect stability. Central-in-space weighting is not often used
because it can result in spurious oscillations in the simulated concentrations.
Upstream weighting is a fast alternative, and TVD is a more expensive and more
robust alternative.
"""
from copy import deepcopy
from imod.mf6.interfaces.iregridpackage import IRegridPackage
from imod.mf6.package import Package
class Advection(Package, IRegridPackage):
_pkg_id = "adv"
_template = Package._initialize_template(_pkg_id)
def __init__(self, scheme: str):
dict_dataset = {"scheme": scheme}
super().__init__(dict_dataset)
def render(self, directory, pkgname, globaltimes, binary):
scheme = self.dataset["scheme"].item()
return self._template.render({"scheme": scheme})
def mask(self, _) -> Package:
"""
The mask method is irrelevant for this package , instead this method
retuns a copy of itself.
"""
return deepcopy(self)
[docs]
class AdvectionUpstream(Advection):
"""
The upstream weighting (first order upwind) scheme sets the concentration
at the cellface between two adjacent cells equal to the concentration in
the cell where the flow comes from. It surpresses oscillations.
Note: all constructor arguments will be ignored
"""
[docs]
def __init__(self, scheme: str = "upstream"):
if not scheme == "upstream":
raise ValueError(
"error in scheme parameter. Should be 'upstream' if present."
)
super().__init__(scheme="upstream")
[docs]
class AdvectionCentral(Advection):
"""
The central-in-space weighting scheme is based on a simple
distance-weighted linear interpolation between the center of cell n and the
center of cell m to calculate solute concentration at the shared face
between cell n and cell m. Although central-in-space is a misnomer for
grids without equal spacing between connected cells, it is retained here
for consistency with nomenclature used by other MODFLOW-based transport
programs, such as MT3D.
Note: all constructor arguments will be ignored
"""
[docs]
def __init__(self, scheme: str = "central"):
if not scheme == "central":
raise ValueError(
"error in scheme parameter. Should be 'central' if present."
)
super().__init__(scheme="central")
[docs]
class AdvectionTVD(Advection):
"""
An implicit second order TVD scheme. More expensive than upstream
weighting but more robust.
Note: all constructor arguments will be ignored
"""
[docs]
def __init__(self, scheme: str = "TVD"):
if not scheme == "TVD":
raise ValueError("error in scheme parameter. Should be 'TVD' if present.")
super().__init__(scheme="TVD")