def __init__(self,
swarm=None,
materialIndexField=None,
air=None,
sediment=None,
threshold=None):
self.materialIndexField = materialIndexField
self.swarm = swarm
self.threshold = nd(threshold)
materialMap = {}
for material in air:
materialMap[material.index] = 1.0
isAirMaterial = fn.branching.map(fn_key=materialIndexField,
mapping=materialMap,
fn_default=0.0)
sedimentation = [
(((isAirMaterial > 0.5) & (fn.input()[1] < nd(threshold))),
sediment[0].index), (True, materialIndexField)
]
erosion = [(((isAirMaterial < 0.5) & (fn.input()[1] > nd(threshold))),
sediment[0].index), (True, materialIndexField)]
self._fn1 = fn.branching.conditional(belowthreshold)
self._fn2 = fn.branching.conditional(belowthreshold)
def fn_Tukey_window(r, centre, width, top, bottom):
""" Define a tuckey window
A Tukey window is a rectangular window with the first and last r/2
percent of the width equal to parts of a cosine.
see tappered cosine function
"""
centre = nd(centre)
width = nd(width)
top = nd(top)
bottom = nd(bottom)
x = fn.input()[0]
y = fn.input()[1]
start = centre - 0.5 * width
xx = (x - start) / width
x_conditions = [
((0. <= xx) & (xx < r / 2.0),
0.5 * (1.0 + fn.math.cos(2. * np.pi / r * (xx - r / 2.0)))),
((r / 2.0 <= xx) & (xx < 1.0 - r / 2.0), 1.0),
((1.0 - r / 2.0 <= xx) & (xx <= 1.0),
0.5 * (1. + fn.math.cos(2. * np.pi / r * (xx + r / 2.0)))),
(True, 0.0)
]
x_conditions = fn.branching.conditional(x_conditions)
y_conditions = fn.branching.conditional([((y >= bottom) & (y <= top), 1.0),
(True, 0.0)])
return x_conditions * y_conditions
def _init_shape(self):
center = tuple(nd(x) for x in list(self.center))
r1 = nd(self.r1)
r2 = nd(self.r2)
coord = fn.input() - center
self._fn = (fn.math.dot(coord, coord) < r2**2) & (fn.math.dot(
coord, coord) > r1**2)
def _fn(self):
center = tuple(nd(x) for x in list(self.center))
r1 = nd(self.r1)
r2 = nd(self.r2)
coord = fn.input() - center
return (fn.math.dot(coord, coord) < r2**2) & (fn.math.dot(
coord, coord) > r1**2)
def __init__(self, center, radius):
"""Create a Disk shape
Parameters
----------
center : center of the disk
radius : radius of the disk
Returns
-------
An UWGeodynamics Shape
"""
self.center = center
self.radius = radius
self.top = center[1] + self.radius
self.bottom = center[1] - self.radius
center = tuple(nd(x) for x in list(self.center))
radius = nd(self.radius)
coord = fn.input() - center
self._fn = fn.math.dot(coord, coord) < radius**2
super(Disk, self).__init__(argument_fns=None)
self._fncself = self._fn._fncself
def __init__(self, center, r1, r2):
"""Create an Annulus shape
Parameters
----------
center : center of the annulus
r1 : Internal radius
r2 : External radius
Returns
-------
An UWGeodynamics Shape object
"""
self.center = center
self.r1 = r1
self.r2 = r2
self.bottom = center[1] - self.r2
self.top = center[1] + self.r2
center = tuple(nd(x) for x in list(self.center))
r1 = nd(self.r1)
r2 = nd(self.r2)
coord = fn.input() - center
self._fn = (fn.math.dot(coord, coord) < r2**2) & (fn.math.dot(
coord, coord) > r1**2)
super(Annulus, self).__init__(argument_fns=None)
self._fncself = self._fn._fncself
def _init_shape(self):
coord = fn.input()
if (self.minY is not None) and (self.maxY is not None):
self._fn = ((coord[2] <= nd(self.top)) &
(coord[2] >= nd(self.bottom)))
else:
self._fn = ((coord[1] <= nd(self.top)) &
(coord[1] >= nd(self.bottom)))
def post_hook():
coords = fn.input()
zz = coords[0] / (GEO.nd(Model.maxCoord[0]) - GEO.nd(Model.minCoord[0]))
fact = fn.math.pow(
fn.math.tanh(zz * 20.0) + fn.math.tanh(
(1.0 - zz) * 20.0) - fn.math.tanh(20.0), 4)
Model.plasticStrain.data[:] = Model.plasticStrain.data[:] * fact.evaluate(
Model.swarm)
def _create_function(self):
# Create wall function
operator = self.wall_operators[self._wall]
axis = self.wall_direction_axis[self._wall]
pos = self.wall_init_pos[self._wall]
condition = [(operator(fn.input()[axis],
(self._time * self.velocityFn + nd(pos))),
True), (True, False)]
return fn.branching.conditional(condition)
def _fn(self):
coord = fn.input()
if (self.minY is not None) and (self.maxY is not None):
func = ((coord[1] <= nd(self.maxY)) & (coord[1] >= nd(self.minY)) &
(coord[0] <= nd(self.maxX)) & (coord[0] >= nd(self.minX)) &
(coord[2] <= nd(self.top)) & (coord[2] >= nd(self.bottom)))
else:
func = ((coord[1] <= nd(self.top)) & (coord[1] >= nd(self.bottom))
& (coord[0] <= nd(self.maxX)) &
(coord[0] >= nd(self.minX)))
return func
def post_hook():
"""
Stop any brittle yielding near the edges of the model
"""
coords = fn.input()
zz = (coords[0] - GEO.nd(Model.minCoord[0])) / (GEO.nd(Model.maxCoord[0]) -
GEO.nd(Model.minCoord[0]))
fact = fn.math.pow(
fn.math.tanh(zz * 20.0) + fn.math.tanh(
(1.0 - zz) * 20.0) - fn.math.tanh(20.0), 4)
Model.plasticStrain.data[:] = Model.plasticStrain.data[:] * fact.evaluate(
Model.swarm)
def _fn(self):
coords = fn.input()
new_coords = coords - self.origin
func = fn.math.dot(self.normal, new_coords)
# True if below, False if above
if not self.reverse:
conditions = [(func <= 0., True), (func > 0., False)]
else:
conditions = [(func >= 0., True), (func < 0., False)]
return fn.branching.conditional(conditions)
def post_hook():
"""
Stop any brittle yielding near the edges of the model
"""
coords = fn.input()
zz = (coords[0] - GEO.nd(Model.minCoord[0])) / (GEO.nd(Model.maxCoord[0]) - GEO.nd(Model.minCoord[0]))
fact = fn.math.pow(fn.math.tanh(zz*20.0) + fn.math.tanh((1.0-zz)*20.0) - fn.math.tanh(20.0), 4)
Model.plasticStrain.data[:] = Model.plasticStrain.data[:] * fact.evaluate(Model.swarm)
"""
Check spacing for when sedimentation should turn off
# This solution was provided by: https://stackoverflow.com/a/38008452
"""
rank = uw.rank()
root = 0
# get all the moho tracers that are on our CPU, in x sorted order
moho_tracers = Model.passive_tracers["Moho"] # Need this for restart safety
local_array = numpy.sort(moho_tracers.swarm.particleCoordinates.data[:,0])
sendbuf = numpy.array(local_array)
# We have to figure out how many particles each CPU has, and let the root
# cpu know
sendcounts = numpy.array(MPI.COMM_WORLD.gather(len(sendbuf), root))
if rank == root:
# prepare to receive all this data
recvbuf = numpy.empty(sum(sendcounts), dtype=float)
else:
recvbuf = None
# Gather up all the data and put it in recvbuf
MPI.COMM_WORLD.Gatherv(sendbuf=sendbuf, recvbuf=(recvbuf, sendcounts), root=root)
if rank == root:
# find the biggest gap in the X direction in the moho_tracers
diff = numpy.max(numpy.diff(numpy.sort(recvbuf))) # recvbuf is the array of all particles
else:
diff = None
# Now that we know the biggest gap, tell all the other CPUs
diff = MPI.COMM_WORLD.bcast(diff, root=0)
biggest_gap = GEO.Dimensionalize(diff, u.km)
uw.barrier()
print(uw.rank(), "Biggest gap in tracers", biggest_gap)
if biggest_gap > gap_to_stop_sedi:
print("Sedimentation turned: OFF at {}".format(Model.time))
threshold = -10 * u.kilometers
else:
print("Sedimentation turned: ON")
threshold = -1 * u.kilometers
Model.surfaceProcesses = GEO.surfaceProcesses.SedimentationThreshold(air=[air], sediment=[sediment], threshold=threshold)
def _init_model(self):
materialField = self.Model.materialField
materialMap = {}
for material in self.air:
materialMap[material.index] = 1.0
isAirMaterial = fn.branching.map(fn_key=materialField,
mapping=materialMap,
fn_default=0.0)
belowthreshold = [(((isAirMaterial < 0.5) & (fn.input()[1] > nd(self.threshold))), self.air[0].index),
(True, materialField)]
self._fn = fn.branching.conditional(belowthreshold)
def __init__(self, mesh, starttime, endtime, dt):
#init the parent class
nx.DiGraph.__init__(self)
################################
self.times = np.arange(starttime, endtime, dt)
#self.add_node('times', times=self.times)
self.plateIdUsedList = []
self.plateIdDefaultList = list(np.arange(1, 101))
self.plateDummyId = -99
#mesh and coordinate functions
self.mesh = mesh
self._coordinate = fn.input()
self._xFn = self._coordinate[0]
def __init__(self, normal, origin=None, reverse=False):
""" HalfSpace
Parameters:
-----------
normal: A vector defining the normal to the plan.
origin: Origin
reverse: by default, particles tested against this class are
assigned "True" if they lay on or below the plan.
You can reverse than behavior by setting reverse=True.
Returns:
--------
A UWGeodynamics Shape object.
"""
if isinstance(normal, (tuple, list)):
self.normal = fn.misc.constant([float(nd(val)) for val in normal])
else:
raise ValueError("{0} must be a list or tuple".format(normal))
if isinstance(origin, (tuple, list)):
self.origin = fn.misc.constant([float(nd(val)) for val in origin])
else:
self.origin = fn.misc.constant([0.] * len(normal))
self.reverse = reverse
coords = fn.input()
new_coords = coords - self.origin
func = fn.math.dot(self.normal, new_coords)
# True if below, False if above
if not self.reverse:
conditions = [(func <= 0., True), (func > 0., False)]
else:
conditions = [(func >= 0., True), (func < 0., False)]
self._fn = fn.branching.conditional(conditions)
super(HalfSpace, self).__init__(argument_fns=None)
self._fncself = self._fn._fncself
def __init__(self, top, bottom, minX=0., maxX=0., minY=None, maxY=None):
"""Create a Box Shape
Parameters
----------
top : Top of the Box
bottom : Bottom of the Box
minX : Minimum extent of the Box along the x-axis
maxX : Maximum extent of the Box along the x-axis
Only in 3D:
minY : Minimum extent of the Box along the y-axis
maxY : Maximum extent of the Box along the y-axis
Returns
-------
"""
self.top = top
self.bottom = bottom
self.minX = minX
self.maxX = maxX
self.minY = minY
self.maxY = maxY
coord = fn.input()
if (self.minY is not None) and (self.maxY is not None):
func = ((coord[1] <= nd(self.maxY)) &
(coord[1] >= nd(self.minY)) &
(coord[0] <= nd(self.maxX)) &
(coord[0] >= nd(self.minX)) &
(coord[2] <= nd(self.top)) &
(coord[2] >= nd(self.bottom)))
else:
func = ((coord[1] <= nd(self.top)) &
(coord[1] >= nd(self.bottom)) &
(coord[0] <= nd(self.maxX)) &
(coord[0] >= nd(self.minX)))
self._fn = func
super(Box, self).__init__(argument_fns=None)
self._fncself = self._fn._fncself
def __init__(self, top, bottom):
"""Create a 2D Layer object
Parameters
----------
top : top of the layer
bottom : bottom of the layer
Returns
-------
AN UWGeodynamics Shape object
"""
self.top = top
self.bottom = bottom
coord = fn.input()
self._fn = ((coord[1] <= nd(self.top)) & (coord[1] >= nd(self.bottom)))
super(Layer, self).__init__(argument_fns=None)
self._fncself = self._fn._fncself
def muEff(self):
coord = fn.input()
return (self._eta0 * fn.math.exp(self._gamma *
(coord[-1] - self._reference)))
temperatureDotField = uw.mesh.MeshVariable(
mesh=mesh, nodeDofCount=1) #create this only if Adv-diff
diffusivityFn = fn.misc.constant(1.)
# In[12]:
velocityField.data[:] = 0.
pressureField.data[:] = 0.
temperatureField.data[:] = 0.
initialtemperatureField.data[:] = 0.
# In[13]:
#Uw geometry shortcuts
coordinate = fn.input()
depthFn = mesh.maxCoord[1] - coordinate[1] #a function providing the depth
xFn = coordinate[0] #a function providing the x-coordinate
yFn = coordinate[1]
# ## Swarm
# In[14]:
swarm = uw.swarm.Swarm(mesh=mesh, particleEscape=True)
materialVariable = swarm.add_variable(dataType="int", count=1)
layout = uw.swarm.layouts.PerCellRandomLayout(swarm=swarm,
particlesPerCell=int(md.ppc))
swarm.populate_using_layout(layout=layout) # Now use it to populate.
# #Material properties
#
# In[18]:
#Make variables required for plasticity
secinvCopy = fn.tensor.second_invariant(
fn.tensor.symmetric(
velocityField.gradientFn ))
# In[19]:
coordinate = fn.input()
# In[20]:
newvisc
# In[21]:
#Remember to use floats everywhere when setting up functions
#Linear viscosities
#viscosityl1 = fn.math.exp(math.log(ETA_T)*-1*temperatureField)
#viscosityl1 = fn.math.exp((math.log(ETA_T)*-1*temperatureField) + (math.log(ETA_T)*-1*0.64))
viscosityl1 = newvisc*fn.math.exp(math.log(ETA_T)*-1*temperatureField)
def _fn(self):
coord = fn.input()
func = ((coord[2] <= nd(self.top)) & (coord[2] >= nd(self.bottom)))
return func
def _fn(self):
center = tuple(nd(x) for x in list(self.center))
radius = nd(self.radius)
coord = fn.input() - center
return fn.math.dot(coord, coord) < radius**2
# ### Material distribution in the domain.
#
#
# In[11]:
# Initialise the 'materialVariable' data to represent different materials.
materialV = 0 # viscoplastic
materialW = 1 # weak
materialA = 2 # accommodation layer a.k.a. Sticky Air
# The particle coordinates will be the input to the function evaluate (see final line in this cell).
# We get proxy for this now using the input() function.
coord = fn.input()
# Setup the conditions list for the following conditional function. Where the
# z coordinate (coordinate[1]) is less than the perturbation, set to lightIndex.
conditions = [ ( coord[1] > thicknessV , materialA ),
( ((coord[1] < dWeak) & (coord[0]**2. < (dWeak**2.)/4.)) , materialW ),
( True , materialV ) ]
# The actual function evaluation. Here the conditional function is evaluated at the location
# of each swarm particle. The results are then written to the materialVariable swarm variable.
materialVariable.data[:] = fn.branching.conditional( conditions ).evaluate(swarm)
# Define the density function
# ---
# In[ ]:
# **Define the rheology**
# In[21]:
print '*** define rheology ***'
# strain rate invariant
strainRateFn = fn.tensor.symmetric(velocityField.fn_gradient)
strainRate_2ndInvariantFn = fn.tensor.second_invariant(strainRateFn)
strainRate_2ndInvariantFn_scaled = strainRate_2ndInvariantFn * (kappa / (
(boxHeight * 1e6)**2))
# In[22]:
# hydrostatice pressure
yCoord = fn.input()[1] * 1e6
z_hat = -1.0 * (yCoord)
P_stat = rho0 * g * z_hat
# In[23]:
# adiabatic gradiet to temperature solution, 0.5 K/km
Tm = (z_hat / 1e3) * 0.5 + (temperatureField * deltaTemp) + Temp_Min
# In[24]:
# limiters
eta_max = 1e24 # Pa.s, maximum viscosity
eta_min = 1e19 # Pa.s, minimum viscosity
# In[25]:
def _init_shape(self):
center = tuple(nd(x) for x in list(self.center))
radius = nd(self.radius)
coord = fn.input() - center
self._fn = fn.math.dot(coord, coord) < radius**2
def __init__(self, sealevel, water_material=None):
self.condition = fn.input()[1] < nd(sealevel)
self.result = water_material.index
#
#
# In[16]:
# Initialise the 'materialVariable' data to represent different materials.
material1 = 1 # viscoplastic
material0 = 0 # accommodation layer a.k.a. Sticky Air
material2 = 2 # Under layer
materialVariable.data[:] = 0.
# The particle coordinates will be the input to the function evaluate (see final line in this cell).
# We get proxy for this now using the input() function.
coord = fn.input()
# Setup the conditions list for the following conditional function. Where the
# z coordinate (coordinate[1]) is less than the perturbation, set to lightIndex.
#notchWidth = (1./32.) * md.notch_fac
notchCond = operator.and_(
coord[1] < ndp.asthenosphere + ndp.notchWidth,
operator.and_(coord[0] < ndp.notchWidth, coord[0] > -1. * ndp.notchWidth))
mu = ndp.notchWidth
sig = 0.25 * ndp.notchWidth
gausFn1 = ndp.notchWidth * fn.math.exp(-1. * (coord[0] - mu)**2 /
(2 * sig**2)) + ndp.asthenosphere
mu = -1. * ndp.notchWidth
