def FV_2D_Nwave(x1):
sigma = x1[0][0]
k_lensc = x1[0][1]
h_bathy_pts = np.array([[x1[0][2]], [x1[0][3]], [x1[0][4]], [x1[0][5]],
[x1[0][6]], [x1[0][7]], [x1[0][8]]])
# [x1[0][7]], [x1[0][8]] ]);
amp_ratio = x1[0][9]
# Amplitude ratio
t1 = x1[0][10]
# Time of crest peak
t2 = x1[0][11]
# Time of triugh peak
dx = variables_file.dx
Amp = variables_file.Amp
CFL = variables_file.CFL
g = variables_file.g
eps = variables_file.eps
lb = variables_file.lb
ub = variables_file.ub
N = variables_file.N
h0 = variables_file.h0
xc = variables_file.xc
x_bathy = variables_file.x_bathy
slope_upper = variables_file.slope_upper
slope_lower = variables_file.slope_lower
slope = variables_file.slope
T = 5 * (t1 - t2) + 40
#from the breakwater_interpolate file
[gp_bathy,
h_bathy_only] = bathy_GP(h_bathy_pts, k_lensc, sigma, xc, x_bathy,
slope_upper, slope_lower, slope)
h = np.zeros(xc.shape)
for i in range(xc.shape[0]):
if (xc[i, 0] <= 0):
h[i, 0] = h_bathy_only[i, 0]
else:
h[i, 0] = h0[i, 0]
W = np.zeros((N, 2, 1))
W[:, 0, :] = np.maximum(h, eps)
t = 0
iteration = 0
fig = plt.figure()
ax1 = fig.add_subplot(1, 1, 1)
runup_all = np.zeros([1, 1])
inund_all = np.zeros([1, 1])
time_all = np.zeros([1, 1])
while (t < T):
dt = time_step(W, CFL, dx, eps, g)
# Runge-kutta
k1 = dt * rhs(W, t, N, dx, eps, h, g, xc, Amp, amp_ratio, t1, t2)
k2 = dt * rhs(W + 0.5 * k1, t + 0.5 * dt, N, dx, eps, h, g, xc, Amp,
amp_ratio, t1, t2)
k3 = dt * rhs(W + 0.5 * k2, t + 0.5 * dt, N, dx, eps, h, g, xc, Amp,
amp_ratio, t1, t2)
k4 = dt * rhs(W + k3, t + dt, N, dx, eps, h, g, xc, Amp, amp_ratio, t1,
t2)
W = W + (k1 + 2 * k2 + 2 * k3 + k4) / 6
[runup, inund] = runup_inund_calc(W, xc, h)
iteration = iteration + 1
if (iteration == 1):
runup_all[0, 0] = runup
inund_all[0, 0] = inund
time_all[0, 0] = t
elif (iteration > 1):
runup_all = np.append(runup_all, [[runup]], axis=0)
inund_all = np.append(inund_all, [[inund]], axis=0)
time_all = np.append(time_all, [[t]], axis=0)
t = t + dt
ax1.clear()
ax1.plot(xc, W[:, 0, :] - h, 'b-')
ax1.plot(xc, -h, 'r-')
ax1.set_xlabel('x (m)', fontsize=13)
ax1.set_ylabel('y (m)', fontsize=13)
plt.pause(1e-17)
time.sleep(0.000001)
plt.show()
index_peaks = find_peaks(runup_all[:, 0], height=0)
runup_max = runup_all[index_peaks[0][0], 0]
return -runup_max
def FV_2D(x1):
sigma = x1[0][0]
k_lensc = x1[0][1]
xc_brk = x1[0][2]
h_brk = np.array([[x1[0][3]], [x1[0][4]], [x1[0][5]], [x1[0][6]],
[x1[0][7]], [x1[0][8]], [x1[0][9]]])
dx = variables_file.dx
Amp = variables_file.Amp
T_per = variables_file.T_per
omega = variables_file.omega
CFL = variables_file.CFL
g = variables_file.g
eps = variables_file.eps
lb = variables_file.lb
ub = variables_file.ub
N = variables_file.N
h0 = variables_file.h0
T = variables_file.T
xc = variables_file.xc
brk_width = variables_file.brk_width
x_brk = variables_file.x_brk
#from the breakwater_interpolate file
[gp_brk, h_brk_only] = brk_GP(h_brk, k_lensc, sigma, xc_brk, brk_width, xc,
x_brk)
h = np.zeros(xc.shape)
for i in range(xc.shape[0]):
if (h_brk_only[i, 0] != 0):
h[i, 0] = h_brk_only[i, 0]
else:
h[i, 0] = h0[i, 0]
W = np.zeros((N, 2, 1))
W[:, 0, :] = np.maximum(h, eps)
t = 0
iteration = 0
fig = plt.figure()
ax1 = fig.add_subplot(1, 1, 1)
runup_all = np.zeros([1, 1])
inund_all = np.zeros([1, 1])
time_all = np.zeros([1, 1])
while (t < T):
dt = time_step(W, CFL, dx, eps, g)
# Runge-kutta
k1 = dt * rhs(W, t, N, dx, eps, h, g, Amp, T_per, xc)
k2 = dt * rhs(W + 0.5 * k1, t + 0.5 * dt, N, dx, eps, h, g, Amp, T_per,
xc)
k3 = dt * rhs(W + 0.5 * k2, t + 0.5 * dt, N, dx, eps, h, g, Amp, T_per,
xc)
k4 = dt * rhs(W + k3, t + dt, N, dx, eps, h, g, Amp, T_per, xc)
W = W + (k1 + 2 * k2 + 2 * k3 + k4) / 6
[runup, inund] = runup_inund_calc(W, xc, h)
t = t + dt
iteration = iteration + 1
if (iteration == 1):
runup_all[0, 0] = runup
inund_all[0, 0] = inund
time_all[0, 0] = t
elif (iteration > 1):
runup_all = np.append(runup_all, [[runup]], axis=0)
inund_all = np.append(inund_all, [[inund]], axis=0)
time_all = np.append(time_all, [[t]], axis=0)
ax1.clear()
ax1.plot(xc, W[:, 0, :] - h, 'b-')
ax1.plot(xc, -h, 'r-')
ax1.set_xlabel('x (m)', fontsize=13)
ax1.set_ylabel('y (m)', fontsize=13)
plt.pause(1e-17)
time.sleep(0.000001)
plt.show()
runup_max = max(runup_all[:, 0])
inund_max = max(inund_all[:, 0])
return [runup_max, time_all, runup_all]