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######################################################## |
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# |
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# Copyright (c) 2009 by University of Queensland |
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# Earth Systems Science Computational Center (ESSCC) |
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# http://www.uq.edu.au/esscc |
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# |
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# Primary Business: Queensland, Australia |
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# Licensed under the Open Software License version 3.0 |
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# http://www.opensource.org/licenses/osl-3.0.php |
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# |
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######################################################## |
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|
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__copyright__="""Copyright (c) 2009 by University of Queensland |
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Earth Systems Science Computational Center (ESSCC) |
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http://www.uq.edu.au/esscc |
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Primary Business: Queensland, Australia""" |
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__license__="""Licensed under the Open Software License version 3.0 |
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http://www.opensource.org/licenses/osl-3.0.php""" |
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__url__="https://launchpad.net/escript-finley" |
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|
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""" |
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Author: Antony Hallam antony.hallam@uqconnect.edu.au |
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""" |
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|
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from esys.pycad import CurveLoop |
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|
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# numpy for array handling |
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import numpy as np |
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import pylab as pl |
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# tools for dealing with PDEs - contains locator |
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from esys.escript.pdetools import Locator, Projector |
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|
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from esys.escript import * |
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from esys.escript.linearPDEs import LinearPDE |
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|
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# routine to find consecutive coordinates of a loop in pycad |
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def getLoopCoords(loop): |
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# return all construction points of input |
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temp = loop.getConstructionPoints() |
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#create a numpy array for xyz components or construction points |
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coords = np.zeros([len(temp),3],float) |
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#place construction points in array |
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for i in range(0,len(temp)): |
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coords[i,:]=temp[i].getCoordinates() |
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#return a numpy array |
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return coords |
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|
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# Calculate the location of quivers for a matplotlib plot |
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# quivshape :: [x,y] :: number of quivers in x and y direction |
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# lenxax :: length of model along x |
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# lenyax :: length of model along y |
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# qu :: gradient of escript solution ie grad(T) |
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def toQuivLocs(quivshape,lenxax,lenyax,qu): |
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numquiv = quivshape[0]*quivshape[1] # total number of quivers |
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dx = lenxax/quivshape[0]+1. # quiver x spacing |
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dy = lenyax/quivshape[1]+1. # quiver y spacing |
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qulocs=np.zeros([numquiv,2],float) # memory for quiver locations |
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# fill qulocs |
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for i in range(0,quivshape[0]-1): |
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for j in range(0,quivshape[1]-1): |
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qulocs[i*quivshape[0]+j,:] = [dx+dx*i,dy+dy*j] |
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# retreive values for quivers direction and shape from qu |
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quL = Locator(qu.getFunctionSpace(),qulocs.tolist()) |
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qu = quL(qu) #array of dx,dy for quivers |
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qu = np.array(qu) #turn into a numpy array |
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qulocs = quL.getX() #returns actual locations from data |
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qulocs = np.array(qulocs) #turn into a numpy array |
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return qu,qulocs |
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|
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|
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|
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|
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# Extract the X and Y coordinates of an array |
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# coords :: escript coordiantes from .getX function |
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def toXYTuple(coords): |
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coords = np.array(coords.toListOfTuples()) #convert to Tuple |
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coordX = coords[:,0]; coordY = coords[:,1] #X and Y components. |
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return coordX,coordY |
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|
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def toRegGrid(grid,domain,newx,newy,width,depth): |
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oldspacecoords=domain.getX() |
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gridT = grid.toListOfTuples(scalarastuple=False) |
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cxy = Data(oldspacecoords, grid.getFunctionSpace()) |
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cX, cY = toXYTuple(cxy) |
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xi = np.linspace(0.0,width,newx) |
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yi = np.linspace(depth,0.0,newy) |
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# grid the data. |
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zi = pl.matplotlib.mlab.griddata(cX,cY,gridT,xi,yi) |
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return xi,yi,zi |
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|
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def gradtoRegGrid(grid,domain,newx,newy,width,depth,dim): |
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cxy = grid.getFunctionSpace().getX() |
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gridT = grid.toListOfTuples()#(scalarastuple=False) |
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#cxy = Data(oldspacecoords, grid.getFunctionSpace()) |
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cX, cY = toXYTuple(cxy) |
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xi = np.linspace(0.0,width,newx) |
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yi = np.linspace(depth,0.0,newy) |
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|
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gridT = np.array(gridT) |
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gridT = gridT[:,dim] |
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|
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# grid the data. |
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|
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zi = pl.matplotlib.mlab.griddata(cX,cY,gridT,xi,yi) |
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return xi,yi,zi |
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######################################################## |
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# subroutine: cbphones |
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# Allows us to record the values of a PDE at various |
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# specified locations in the model. |
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# Arguments: |
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# domain : domain of model |
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# U : Current time state displacement solution. |
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# phones : Geophone Locations |
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# dim : model dimesions |
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# savepath: where to output the data files local is default |
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######################################################## |
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def cbphones(domain,U,phones,dim,savepath=""): |
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#find the number of geophones |
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nphones = len(phones) |
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u_pot = np.zeros([nphones,dim],float) |
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|
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for i in range(0,nphones): |
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# define the location of the phone source |
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L=Locator(domain,numpy.array(phones[i])) |
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# find potential at point source. |
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temp = L.getValue(U) |
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for j in range(0,dim): |
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u_pot[i,j]=temp[j] |
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|
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# open file to save displacement at point source |
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return u_pot |
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|
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######################################################## |
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# subroutine: wavesolver2d |
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# Can solve a generic 2D wave propagation problem with a |
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# point source in a homogeneous medium. |
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# Arguments: |
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# domain : domain to solve over |
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# h : time step |
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# tend : end time |
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# lam, mu : lames constants for domain |
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# rho : density of domain |
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# U0 : magnitude of source |
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# xc : source location in domain (Vector) |
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# savepath: where to output the data files |
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######################################################## |
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def wavesolver2d(domain,h,tend,lam,mu,rho,U0,xc,savepath): |
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from esys.escript.linearPDEs import LinearPDE |
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x=domain.getX() |
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# ... open new PDE ... |
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mypde=LinearPDE(domain) |
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#mypde.setSolverMethod(LinearPDE.LUMPING) |
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mypde.setSymmetryOn() |
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kmat = kronecker(domain) |
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mypde.setValue(D=kmat*rho) |
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|
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# define small radius around point xc |
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# Lsup(x) returns the maximum value of the argument x |
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src_radius = 50#2*Lsup(domain.getSize()) |
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print "src_radius = ",src_radius |
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|
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dunit=numpy.array([0.,1.]) # defines direction of point source |
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|
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|
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# ... set initial values .... |
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n=0 |
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# initial value of displacement at point source is constant (U0=0.01) |
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# for first two time steps |
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u=U0*(cos(length(x-xc)*3.1415/src_radius)+1)*whereNegative(length(x-xc)-src_radius)*dunit |
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u_m1=u |
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t=0 |
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|
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u_pot = cbphones(domain,u,[[0,500],[250,500],[400,500]],2) |
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u_pc_x1 = u_pot[0,0] |
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u_pc_y1 = u_pot[0,1] |
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u_pc_x2 = u_pot[1,0] |
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u_pc_y2 = u_pot[1,1] |
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u_pc_x3 = u_pot[2,0] |
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u_pc_y3 = u_pot[2,1] |
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|
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# open file to save displacement at point source |
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u_pc_data=open(os.path.join(savepath,'U_pc.out'),'w') |
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u_pc_data.write("%f %f %f %f %f %f %f\n"%(t,u_pc_x1,u_pc_y1,u_pc_x2,u_pc_y2,u_pc_x3,u_pc_y3)) |
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|
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while t<tend: |
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# ... get current stress .... |
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|
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##OLD WAY |
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g=grad(u) |
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stress=lam*trace(g)*kmat+mu*(g+transpose(g)) |
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### ... get new acceleration .... |
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#mypde.setValue(X=-stress) |
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#a=mypde.getSolution() |
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### ... get new displacement ... |
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#u_p1=2*u-u_m1+h*h*a |
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###NEW WAY |
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mypde.setValue(X=-stress*(h*h),Y=(rho*2*u-rho*u_m1)) |
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u_p1 = mypde.getSolution() |
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# ... shift displacements .... |
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u_m1=u |
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u=u_p1 |
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#stress = |
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t+=h |
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n+=1 |
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print n,"-th time step t ",t |
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u_pot = cbphones(domain,u,[[300.,200.],[500.,200.],[750.,200.]],2) |
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|
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# print "u at point charge=",u_pc |
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u_pc_x1 = u_pot[0,0] |
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u_pc_y1 = u_pot[0,1] |
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u_pc_x2 = u_pot[1,0] |
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u_pc_y2 = u_pot[1,1] |
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u_pc_x3 = u_pot[2,0] |
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u_pc_y3 = u_pot[2,1] |
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|
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# save displacements at point source to file for t > 0 |
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u_pc_data.write("%f %f %f %f %f %f %f\n"%(t,u_pc_x1,u_pc_y1,u_pc_x2,u_pc_y2,u_pc_x3,u_pc_y3)) |
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|
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# ... save current acceleration in units of gravity and displacements |
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#saveVTK(os.path.join(savepath,"usoln.%i.vtu"%n),acceleration=length(a)/9.81, |
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#displacement = length(u), tensor = stress, Ux = u[0] ) |
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saveVTK(os.path.join(savepath,"tonysol.%i.vtu"%n),output1 = length(u),tensor=stress) |
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|
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u_pc_data.close() |
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|
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|
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######################################################## |
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# subroutine: wavesolver2d |
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# Can solve a generic 2D wave propagation problem with a |
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# point source in a homogeneous medium with friction. |
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# Arguments: |
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# domain : domain to solve over |
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# h : time step |
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# tend : end time |
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# lam, mu : lames constants for domain |
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# rho : density of domain |
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# U0 : magnitude of source |
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# xc : source location in domain (Vector) |
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# savepath: where to output the data files |
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######################################################## |
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def wavesolver2df(domain,h,tend,lam,mu,rho,U0,xc,savepath): |
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x=domain.getX() |
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# ... open new PDE ... |
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mypde=LinearPDE(domain) |
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#mypde.setSolverMethod(LinearPDE.LUMPING) |
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mypde.setSymmetryOn() |
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kmat = kronecker(domain) |
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mypde.setValue(D=kmat) |
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b=0.9 |
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|
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# define small radius around point xc |
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# Lsup(x) returns the maximum value of the argument x |
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src_radius = 50#2*Lsup(domain.getSize()) |
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print "src_radius = ",src_radius |
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|
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dunit=numpy.array([0.,1.]) # defines direction of point source |
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|
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|
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# ... set initial values .... |
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n=0 |
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# initial value of displacement at point source is constant (U0=0.01) |
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# for first two time steps |
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u=U0*(cos(length(x-xc)*3.1415/src_radius)+1)*whereNegative(length(x-xc)-src_radius)*dunit |
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u_m1=u |
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t=0 |
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|
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u_pot = cbphones(domain,u,[[0,500],[250,500],[400,500]],2) |
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u_pc_x1 = u_pot[0,0] |
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u_pc_y1 = u_pot[0,1] |
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u_pc_x2 = u_pot[1,0] |
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u_pc_y2 = u_pot[1,1] |
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u_pc_x3 = u_pot[2,0] |
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u_pc_y3 = u_pot[2,1] |
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|
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# open file to save displacement at point source |
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u_pc_data=open(os.path.join(savepath,'U_pc.out'),'w') |
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u_pc_data.write("%f %f %f %f %f %f %f\n"%(t,u_pc_x1,u_pc_y1,u_pc_x2,u_pc_y2,u_pc_x3,u_pc_y3)) |
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|
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while t<tend: |
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# ... get current stress .... |
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|
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##OLD WAY |
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g=grad(u) |
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stress=lam*trace(g)*kmat+mu*(g+transpose(g)) |
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### ... get new acceleration .... |
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#mypde.setValue(X=-stress) |
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#a=mypde.getSolution() |
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### ... get new displacement ... |
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#u_p1=2*u-u_m1+h*h*a |
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###NEW WAY |
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y = ((rho/(-rho-b*h))*(u_m1-2*u))+(((b*h)/(-rho-(b*h)))*-u) |
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mypde.setValue(X=-stress*((h*h)/(-rho-h*b)),Y=y) |
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u_p1 = mypde.getSolution() |
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# ... shift displacements .... |
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u_m1=u |
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u=u_p1 |
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#stress = |
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t+=h |
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n+=1 |
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print n,"-th time step t ",t |
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u_pot = cbphones(domain,u,[[300.,200.],[500.,200.],[750.,200.]],2) |
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|
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# print "u at point charge=",u_pc |
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u_pc_x1 = u_pot[0,0] |
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u_pc_y1 = u_pot[0,1] |
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u_pc_x2 = u_pot[1,0] |
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u_pc_y2 = u_pot[1,1] |
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u_pc_x3 = u_pot[2,0] |
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u_pc_y3 = u_pot[2,1] |
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|
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# save displacements at point source to file for t > 0 |
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u_pc_data.write("%f %f %f %f %f %f %f\n"%(t,u_pc_x1,u_pc_y1,u_pc_x2,u_pc_y2,u_pc_x3,u_pc_y3)) |
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|
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# ... save current acceleration in units of gravity and displacements |
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#saveVTK(os.path.join(savepath,"usoln.%i.vtu"%n),acceleration=length(a)/9.81, |
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#displacement = length(u), tensor = stress, Ux = u[0] ) |
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saveVTK(os.path.join(savepath,"tonysol.%i.vtu"%n),output1 = length(u),tensor=stress) |
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|
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u_pc_data.close() |
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|
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# joel wrote this to create directories for you |
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import os |
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def needdirs(dirlist): |
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for name in dirlist: |
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if name == '': |
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continue |
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if not os.path.exists(name): |
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try: |
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os.makedirs(name) |
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except OSError: |
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if not os.path.exists(save_path): |
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raise |
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