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Diffstat (limited to 'python/makeBoundary')
| -rwxr-xr-x | python/makeBoundary | 364 |
1 files changed, 364 insertions, 0 deletions
diff --git a/python/makeBoundary b/python/makeBoundary new file mode 100755 index 0000000..a0d3773 --- /dev/null +++ b/python/makeBoundary @@ -0,0 +1,364 @@ +#!/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) |