import os
import numpy as np
from ContourToMesh import ContourToMesh
import MatlabFuncs as m
[docs]def SetMarineIceSheetBC(md,icefrontfile=''):
"""
SETICEMARINESHEETBC - Create the boundary conditions for stressbalance and thermal models for a Marine Ice Sheet with Ice Front
Neumann BC are used on the ice front (an ARGUS contour around the ice front
can be given in input, or it will be deduced as onfloatingice & onboundary)
Dirichlet BC are used elsewhere for stressbalance
Usage:
md=SetMarineIceSheetBC(md,icefrontfile)
md=SetMarineIceSheetBC(md)
Example:
md=SetMarineIceSheetBC(md,'Front.exp')
md=SetMarineIceSheetBC(md)
See also: SETICESHELFBC, SETMARINEICESHEETBC
"""
#node on Dirichlet (boundary and ~icefront)
if icefrontfile:
#User provided Front.exp, use it
if not os.path.exists(icefrontfile):
raise IOError("SetMarineIceSheetBC error message: ice front file '%s' not found." % icefrontfile)
incontour=ContourToMesh(md.mesh.elements,md.mesh.x,md.mesh.y,icefrontfile,'node',2)
vertexonicefront=np.logical_and(md.mesh.vertexonboundary,incontour.reshape(-1))
else:
#Guess where the ice front is
vertexonfloatingice=np.zeros((md.mesh.numberofvertices))
pos=np.nonzero(np.sum(md.mask.groundedice_levelset[md.mesh.elements-1]<0.,axis=1) >0.)[0]
vertexonfloatingice[md.mesh.elements[pos].astype(int)-1]=1.
vertexonicefront=np.logical_and(np.reshape(md.mesh.vertexonboundary,(-1,)),vertexonfloatingice>0.)
# pos=find(md.mesh.vertexonboundary & ~vertexonicefront);
pos=np.nonzero(np.logical_and(md.mesh.vertexonboundary,np.logical_not(vertexonicefront)))[0]
if not np.size(pos):
print "SetMarineIceSheetBC warning: ice front all around the glacier, no dirichlet found. Dirichlet must be added manually."
md.stressbalance.spcvx=float('nan')*np.ones(md.mesh.numberofvertices)
md.stressbalance.spcvy=float('nan')*np.ones(md.mesh.numberofvertices)
md.stressbalance.spcvz=float('nan')*np.ones(md.mesh.numberofvertices)
md.stressbalance.referential=float('nan')*np.ones((md.mesh.numberofvertices,6))
md.stressbalance.loadingforce=0*np.ones((md.mesh.numberofvertices,3))
#Position of ice front
pos=np.nonzero(vertexonicefront)[0]
md.mask.ice_levelset[pos]=0
#First find segments that are not completely on the front
if m.strcmp(md.mesh.elementtype(),'Penta'):
numbernodesfront=4
elif m.strcmp(md.mesh.elementtype(),'Tria'):
numbernodesfront=2
else:
raise StandardError("Mesh type not supported")
if any(md.mask.ice_levelset<=0):
values=md.mask.ice_levelset[md.mesh.segments[:,0:-1]-1]
segmentsfront=1-values
np.sum(segmentsfront,axis=1)!=numbernodesfront
segments=np.nonzero(np.sum(segmentsfront,axis=1)!=numbernodesfront)[0]
#Find all nodes for these segments and spc them
pos=md.mesh.segments[segments,0:-1]-1
else:
pos=np.nonzero(md.mesh.vertexonboundary)[0]
md.stressbalance.spcvx[pos]=0
md.stressbalance.spcvy[pos]=0
md.stressbalance.spcvz[pos]=0
#Dirichlet Values
if isinstance(md.inversion.vx_obs,np.ndarray) and np.size(md.inversion.vx_obs,axis=0)==md.mesh.numberofvertices and isinstance(md.inversion.vy_obs,np.ndarray) and np.size(md.inversion.vy_obs,axis=0)==md.mesh.numberofvertices:
print " boundary conditions for stressbalance model: spc set as observed velocities"
md.stressbalance.spcvx[pos]=md.inversion.vx_obs[pos]
md.stressbalance.spcvy[pos]=md.inversion.vy_obs[pos]
else:
print " boundary conditions for stressbalance model: spc set as zero"
md.hydrology.spcwatercolumn=np.zeros((md.mesh.numberofvertices,2))
pos=np.nonzero(md.mesh.vertexonboundary)[0]
md.hydrology.spcwatercolumn[pos,0]=1
#Create zeros basalforcings and smb
md.smb.initialize(md)
md.basalforcings.initialize(md)
#Deal with other boundary conditions
if np.all(np.isnan(md.balancethickness.thickening_rate)):
md.balancethickness.thickening_rate=np.zeros((md.mesh.numberofvertices))
print " no balancethickness.thickening_rate specified: values set as zero"
md.masstransport.spcthickness=float('nan')*np.ones((md.mesh.numberofvertices))
md.balancethickness.spcthickness=float('nan')*np.ones((md.mesh.numberofvertices))
md.damage.spcdamage=float('nan')*np.ones((md.mesh.numberofvertices))
if isinstance(md.initialization.temperature,np.ndarray) and np.size(md.initialization.temperature,axis=0)==md.mesh.numberofvertices:
md.thermal.spctemperature=float('nan')*np.ones((md.mesh.numberofvertices))
if hasattr(md.mesh,'vertexonsurface'):
pos=np.nonzero(md.mesh.vertexonsurface)[0]
md.thermal.spctemperature[pos]=md.initialization.temperature[pos] #impose observed temperature on surface
if not isinstance(md.basalforcings.geothermalflux,np.ndarray) or not np.size(md.basalforcings.geothermalflux,axis=0)==md.mesh.numberofvertices:
md.basalforcings.geothermalflux=np.zeros((md.mesh.numberofvertices))
md.basalforcings.geothermalflux[np.nonzero(md.mask.groundedice_levelset>0.)]=50.*10.**-3 #50mW/m2
else:
print " no thermal boundary conditions created: no observed temperature found"
return md