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+#!/usr/bin/env python3
+
+import matplotlib.pyplot as plt
+import numpy as np
+import bisect
+import ast
+import math
+import argparse
+import sys
+
+#TODO: use YAML/ruamel.yaml for configuration file.
+def read_definition(filename):
+ ddict = {}
+ with open(filename, "r") as f:
+ for line in f:
+ items = line.split(': ', 1)
+ if len(items) == 2:
+ ddict[items[0]] = ast.literal_eval(items[1])
+ return ddict
+
+def conveyance(numH, n_co, xregion, zregion, zmin, zmax):
+ p_i = [] # wetted perimeter
+ A_i = [] # area
+ r_h = [] # hydraulic radius
+ h_i = [] # list of heights
+ K_i = [] # conveyance
+ Q_i = [] # discharge
+ x_sub = [[] for i in range(numH)] # list of x values in subregion
+ z_sub = [[] for i in range(numH)] # list of z values in subregion
+ for i in range(numH):
+ h_i.append(zmin + (i+1)*(zmax-zmin)/numH)
+ #print(zregion[zregion < h_i[i]])
+ booleanArray = zregion < h_i[i]
+ #print(booleanArray[i])
+ x_sub[i] += list(xregion[booleanArray])
+ z_sub[i] += list(zregion[booleanArray])
+ for interval in range(len(xregion)-1):
+ if booleanArray[interval+1] != booleanArray[interval]:
+ x_extra = xregion[interval] \
+ + (h_i[i] - zregion[interval])\
+ *(xregion[interval+1] - xregion[interval])\
+ /(zregion[interval+1] - zregion[interval])
+ bisect.insort(x_sub[i], x_extra) # add intercept value
+ ind_x = x_sub[i].index(x_extra)
+ z_sub[i].insert(ind_x, h_i[i]) # add height value
+ #print(z_sub[i])
+
+ dp = 0
+ dA = 0
+ eps = 1e-06
+ for j in range(len(x_sub[i])-1):
+ if (abs(z_sub[i][j+1] - h_i[i]) > eps
+ or abs(z_sub[i][j] - h_i[i]) > eps):
+ dp += np.hypot(x_sub[i][j+1] - x_sub[i][j],
+ abs(z_sub[i][j+1] - z_sub[i][j]))
+ #print(dp)
+ # calculate area using trapezium rule
+ dA += (h_i[i]
+ - (z_sub[i][j+1] + z_sub[i][j])/2)\
+ *(x_sub[i][j+1] - x_sub[i][j])
+ #print('Area =', dA)
+
+ p_i.append(dp)
+ A_i.append(dA)
+
+ r_h.append(A_i[i]/p_i[i]) # ratio of area and wetted perimeter
+ #print('hydraulic radius =', r_h[i])
+ K_i.append(A_i[i]*(1/n_co)*r_h[i]**(2/3)) # conveyance
+ Q_i.append(K_i[i]*slope**0.5) # discharge
+
+ return p_i, A_i, r_h, h_i, K_i, Q_i
+
+def plot_region(xdata, labelx,
+ ydata1, labely1,
+ ydata2, labely2,
+ ydata3, labely3, titlep):
+ plt.xlabel(labelx)
+ plt.ylabel(labely1)
+ plt.title(titlep)
+ plt.plot(xdata, ydata1)
+ plt.show()
+
+ plt.xlabel(labelx)
+ plt.ylabel(labely2)
+ plt.title(titlep)
+ plt.plot(xdata, ydata2)
+ plt.show()
+
+ plt.xlabel(labelx)
+ plt.ylabel(labely3)
+ plt.title(titlep)
+ plt.plot(xdata, ydata3)
+ plt.show()
+
+def save_bc(outputfile):
+ with open(outputfile, 'w') as f:
+ f.write('{:6} {:>2} {:>2} {:>10}\n'.format('#x', 'c', 'q', 'h'))
+ for ind_z, (xitem, zitem) in enumerate(zip(xin, zin)):
+ panel_x = bisect.bisect(markers, xitem)
+ if csa[ind_z] == 0:
+ # wall boundary condition
+ f.write('{:6.2f} {:>2}\n'.format(xitem, 2))
+ elif panel_x == panel[ind_p]:
+ # imposed discharge within part-filled panel
+ f.write('{:6.2f} {:>2} {:10.6f} {:9.6f}\n'.format(
+ xitem, btype,
+ -csa[ind_z]*panel_target_flow/csa_p[panel_x],
+ h_extra-zitem))
+ else:
+ # imposed discharge within filled panels
+ f.write('{:6.2f} {:>2} {:10.6f} {:9.6f}\n'.format(
+ xitem, btype,
+ -csa[ind_z]*Q_i[panel_x][-1]/csa_p[panel_x],
+ zmax-zitem))
+
+def interp(extra2, max1, min1, max2, min2):
+ # use similar triangles to perform linear interpolation
+ extra1 = min1 + (max1 - min1)*(extra2 - min2)/(max2 - min2)
+
+ return extra1
+
+# read command line argument:
+parser = argparse.ArgumentParser(
+ description="generate FullSWOF boundary files")
+parser.add_argument("location", help="boundary location")
+args = parser.parse_args()
+
+if args.location == 'top':
+ inputFilename = "boundaryTop.txt"
+ outputFilename = "BCTop.txt"
+elif args.location == 'bottom':
+ inputFilename = "boundaryBottom.txt"
+ outputFilename = "BCBottom.txt"
+elif args.location == 'left':
+ inputFilename = "boundaryLeft.txt"
+ outputFilename = "BCLeft.txt"
+elif args.location == 'right':
+ inputFilename = "boundaryRight.txt"
+ outputFilename = "BCRight.txt"
+
+# read boundary definition file:
+definition_dict = read_definition(inputFilename)
+#for dd in definition_dict:
+# print(definition_dict[dd])
+btype = definition_dict["type"] # boundary type (1--5)
+slope = abs(definition_dict["slope"]) # slope at top boundary
+target_flow = definition_dict["target_flow"] # imposed discharge
+plotting = definition_dict["plotting"] # enable or disable plotting
+n_co = definition_dict["n_co"] # Manning's 'n' coefficients
+# TODO: use weighted mean 'n' values. See
+# http://help.floodmodeller.com/isis/ISIS/River_Section.htm (Eq. 4)
+# Note: weighted mean calculation requires roughness map.
+markers = definition_dict["markers"] # distances from corner point
+panel = definition_dict["panel"] # panel fill order
+ztol = definition_dict["ztol"] # tolerance in overtopping height
+numH = definition_dict["numH"] # number of height intervals
+
+
+# print(len(markers))
+
+# with open('./1D_top.txt', "r") as data:
+# xch, ych, zch = np.loadtxt(data, delimiter=' ', unpack=True)
+
+# Fit with polyfit
+# m, c = np.polyfit(ych, zch, 1)
+# print('gradient =', m, 'intercept =', c)
+
+# read topography:
+with open("./topography.txt", "r") as topo:
+ xtp, ytp, ztp = np.loadtxt(topo, delimiter=' ', unpack=True)
+
+
+xmax = (xtp[0]+xtp[-1]) # domain extent in x-direction
+ymax = (ytp[0]+ytp[-1]) # domain extent in y-direction
+ncols = int(math.sqrt(len(xtp)*xmax/ymax)) # number of cells in x-direction
+nrows = int(len(xtp)/ncols) # number of cells in y-direction
+dX = xmax/ncols # cell size
+print('dX =', dX)
+
+#print(ncols, nrows)
+
+# extract slices from height data array. Note: xyz format uses ncols
+# blocks, with nrows lines per block.
+if args.location == 'top':
+ xin = xtp[nrows-1:len(xtp):nrows]
+ yin = ytp[nrows-1:len(xtp):nrows]
+ zin = ztp[nrows-1:len(xtp):nrows]
+elif args.location == 'bottom':
+ xin = xtp[0:len(xtp):nrows]
+ yin = ytp[0:len(xtp):nrows]
+ zin = ztp[0:len(xtp):nrows]
+elif args.location == 'left':
+ xin = xtp[:nrows]
+ yin = ytp[:nrows]
+ zin = ztp[:nrows]
+elif args.location == 'right':
+ xin = xtp[nrows*(ncols-1):]
+ yin = ytp[nrows*(ncols-1):]
+ zin = ztp[nrows*(ncols-1):]
+
+
+# print(xin)
+
+num_panels = len(panel) # number of panels across boundary
+
+# convert marker co-ordinates to array indices:
+marker_ind = [0]
+for i in range(len(markers)):
+ marker_ind.append(int(markers[i]/dX))
+if args.location == 'left' or args.location == 'right':
+ marker_ind.append(nrows)
+elif args.location == 'top' or args.location == 'bottom':
+ marker_ind.append(ncols)
+
+
+# print(marker_ind)
+
+xregion = []
+zregion = []
+zmin = []
+for p in range(num_panels):
+ # identify regions:
+ xregion.append(xin[marker_ind[p]:marker_ind[p+1]])
+ zregion.append(zin[marker_ind[p]:marker_ind[p+1]])
+ # identify minimum heights within each panel:
+ zmin.append(zregion[p].min())
+
+# xregion_west = xin[100:281]
+# zregion_west = zin[100:281]
+
+# xregion_east = xin[300:408]
+# zregion_east = zin[300:408]
+
+# print(zregion)
+# print(xin[12:20])
+
+print('zmin =', zmin)
+
+# channel overtopping height (minimum of left bank and right bank heights):
+zmax = min(zregion[panel[0]][0], zregion[panel[0]][-1]) - ztol
+
+print('zmax =', zmax)
+
+#print(h_i)
+
+
+
+p_i = [[] for _ in range(num_panels)]
+A_i = [[] for _ in range(num_panels)]
+r_h = [[] for _ in range(num_panels)]
+h_i = [[] for _ in range(num_panels)]
+K_i = [[] for _ in range(num_panels)]
+Q_i = [[] for _ in range(num_panels)]
+for p in range(num_panels):
+ if p == panel[0]-1 and zregion[p][-1] < zmax:
+ # ensure end node in region to the left of channel is dry:
+ xregion[p] = np.append(xregion[p], xin[marker_ind[p]])
+ zregion[p] = np.append(zregion[p], zin[marker_ind[p]])
+ if p == panel[0]+1 and zregion[p][0] < zmax:
+ # ensure start node in region to the right of channel is dry:
+ xregion[p] = np.insert(xregion[p], 0, xin[marker_ind[p]-1])
+ zregion[p] = np.insert(zregion[p], 0, zin[marker_ind[p]-1])
+ if zmax > zmin[p]:
+ p_i[p], A_i[p], r_h[p], h_i[p], K_i[p], Q_i[p] = conveyance(
+ numH,
+ n_co[p],
+ xregion[p],
+ zregion[p],
+ zmin[p],
+ zmax)
+ if plotting:
+ plot_region(
+ h_i[p]-zmin[p], 'maximum depth / m',
+ r_h[p], 'hydraulic radius / m',
+ K_i[p], r'conveyance / $m^3/s$',
+ Q_i[p], r'discharge / $m^3/s$',
+ 'Panel {}'.format(p))
+ else:
+ p_i[p], A_i[p], r_h[p], h_i[p], K_i[p], Q_i[p] = [
+ [0] * numH for _ in range(6)]
+
+# sort list of discharge lists according to panel fill order:
+sortedQ = [Q_i[i] for i in panel]
+# create cumulative discharge list:
+total_flow = np.cumsum([item[-1] for item in sortedQ])
+print('total_flow = ', total_flow)
+# target_flow_west = target_flow - Q_i[-1] - Q_i_east[-1]
+# calculate velocity: note dependence on hydraulic radius
+velocity_channel = Q_i[panel[0]][-1]/A_i[panel[0]][-1]
+# velocity_east = Q_i_east[-1]/A_i_east[-1]
+
+# print(target_flow_west)
+# find part-filled panel:
+if total_flow[-1] > target_flow:
+ ind_p = bisect.bisect(total_flow, target_flow)
+else:
+ print('Error: imposed discharge is higher than total capacity of panels.')
+ sys.exit()
+
+print('index of part-filled panel:', ind_p)
+
+# calculate target flow in part-filled panel:
+if ind_p == 0:
+ panel_target_flow = target_flow
+else:
+ panel_target_flow = target_flow - total_flow[ind_p-1]
+
+# find insertion point for target flow value:
+ind_q = bisect.bisect(Q_i[panel[ind_p]], panel_target_flow)
+
+print('insertion point =', ind_q)
+
+# find height at target flow by linear interpolation
+h_extra = interp(
+ panel_target_flow,
+ h_i[panel[ind_p]][ind_q],
+ h_i[panel[ind_p]][ind_q-1],
+ Q_i[panel[ind_p]][ind_q],
+ Q_i[panel[ind_p]][ind_q-1])
+
+print('heights:', h_i[panel[ind_p]][ind_q-1], h_extra, h_i[panel[ind_p]][ind_q])
+
+# find area at target flow by linear interpolation
+A_extra = interp(
+ h_extra,
+ A_i[panel[ind_p]][ind_q],
+ A_i[panel[ind_p]][ind_q-1],
+ h_i[panel[ind_p]][ind_q],
+ h_i[panel[ind_p]][ind_q-1])
+
+print('hydraulic radii:', r_h[panel[ind_p]][ind_q-1], r_h[panel[ind_p]][ind_q])
+
+velocity_panel = panel_target_flow/A_extra
+print('velocities:', velocity_channel, velocity_panel)
+
+csa = np.zeros(len(xin)) # cross-sectional area of element
+csa_p = np.zeros(num_panels) # cross-sectional area of panel
+for i, p in enumerate(panel):
+ if i < ind_p:
+ # panels are filled
+ area_sum = 0
+ for m in range(marker_ind[p], marker_ind[p+1]):
+ csa[m] = max(0, (zmax - zin[m])*dX)
+ area_sum += csa[m]
+ csa_p[p] = area_sum
+ elif i == ind_p:
+ # panel is part-filled
+ area_sum = 0
+ for m in range(marker_ind[p], marker_ind[p+1]):
+ csa[m] = max(0, (h_extra - zin[m])*dX)
+ area_sum += csa[m]
+ csa_p[p] = area_sum
+ else:
+ # panel is empty
+ for m in range(marker_ind[p], marker_ind[p+1]):
+ csa[m] = 0
+ csa_p[p] = 0
+
+
+#print('csa_p[0] = {} csa_p[1] = {}'.format(csa_p[0], csa_p[1]))
+#print('A_i_west = {} A_i = {} A_i_east = {}'.format(A_extra, A_i[-1], A_i_east[-1]))
+
+
+save_bc(outputFilename)