FDM: heatmap.html con due grafici indipendenti, statico e striscia animata

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
This commit is contained in:
2026-05-14 12:29:27 +02:00
parent fa5ce5d19c
commit a655e53551
+95 -25
View File
@@ -27,52 +27,122 @@ def visualize_fdm(T_matrix, x_vals, t_vals):
os.makedirs(out_dir, exist_ok=True) os.makedirs(out_dir, exist_ok=True)
# ------------------------------------------------------------------ # ------------------------------------------------------------------
# 1. Heatmap # 1. heatmap.html: plot statico T(x,t) + striscia 1D animata
# Due figure Plotly indipendenti nello stesso file HTML per
# evitare conflitti tra animazioni e assi multipli.
# ------------------------------------------------------------------ # ------------------------------------------------------------------
zmax = float(np.max(np.abs(T_matrix - config.T0))) zmin_val = float(np.min(T_matrix))
# Use symmetric range centred on T0 if there is any variation, zmax_val = float(np.max(T_matrix))
# otherwise fall back to the raw range.
z_data = T_matrix.T # shape (NT, NX) — rows=time, cols=space
if zmax > 0: # Subsample frames (shared with animation below)
n_frames = len(t_vals)
max_frames = 200
step = max(1, n_frames // max_frames)
frame_indices = list(range(0, n_frames, step))
# --- Figura A: heatmap 2D statica (identica all'originale) ---
z_data = T_matrix.T # (NT, NX)
z_center = float(np.mean(T_matrix)) z_center = float(np.mean(T_matrix))
z_abs = float(np.max(np.abs(T_matrix - z_center))) z_abs = float(np.max(np.abs(T_matrix - z_center))) or 1.0
zmin_sym = z_center - z_abs fig_static = go.Figure(go.Heatmap(
zmax_sym = z_center + z_abs
else:
zmin_sym = float(np.min(T_matrix))
zmax_sym = float(np.max(T_matrix))
fig_heatmap = go.Figure(go.Heatmap(
z=z_data, z=z_data,
x=x_vals, x=x_vals,
y=t_vals, y=t_vals,
colorscale='RdBu_r', colorscale='RdBu_r',
zmin=zmin_sym, zmin=z_center - z_abs,
zmax=zmax_sym, zmax=z_center + z_abs,
colorbar=dict(title='T [°C]'), colorbar=dict(title='T [°C]'),
)) ))
fig_heatmap.update_layout( fig_static.update_layout(
title='FDM — Heat Equation T(x,t)', title='FDM — Heat Equation T(x,t)',
xaxis_title='x [m]', xaxis_title='x [m]',
yaxis_title='t [s]', yaxis_title='t [s]',
height=500, height=480,
margin=dict(t=50, b=50, l=70, r=90),
) )
# --- Figura B: striscia 1D animata ---
strip_frames = [
go.Frame(
data=[go.Heatmap(
z=T_matrix[:, idx].reshape(1, -1),
x=x_vals,
y=[0],
colorscale='Jet',
zmin=zmin_val,
zmax=zmax_val,
showscale=True,
colorbar=dict(title='T [°C]', thickness=18),
)],
name=str(idx),
layout=go.Layout(title_text=f't = {t_vals[idx]:.3f} s'),
)
for idx in frame_indices
]
fig_strip = go.Figure(
data=[go.Heatmap(
z=T_matrix[:, frame_indices[0]].reshape(1, -1),
x=x_vals,
y=[0],
colorscale='Jet',
zmin=zmin_val,
zmax=zmax_val,
showscale=True,
colorbar=dict(title='T [°C]', thickness=18),
)],
frames=strip_frames,
layout=go.Layout(
title=f't = {t_vals[frame_indices[0]]:.3f} s',
xaxis=dict(title='x [m]'),
yaxis=dict(showticklabels=False, showgrid=False,
zeroline=False, fixedrange=True),
height=300,
margin=dict(t=80, b=130, l=70, r=110),
updatemenus=[dict(
type='buttons',
showactive=False,
y=1.22, x=0.5, xanchor='center',
buttons=[
dict(label='▶ Play', method='animate',
args=[None, dict(frame=dict(duration=40, redraw=True),
fromcurrent=True, mode='immediate')]),
dict(label='⏸ Pause', method='animate',
args=[[None], dict(frame=dict(duration=0, redraw=False),
mode='immediate')]),
],
)],
sliders=[dict(
steps=[
dict(method='animate',
args=[[str(idx)], dict(mode='immediate',
frame=dict(duration=0, redraw=True))],
label=f'{t_vals[idx]:.2f}')
for idx in frame_indices
],
transition=dict(duration=0),
x=0.05, y=0, len=0.9,
currentvalue=dict(prefix='t = ', font=dict(size=14)),
)],
),
)
# Scrivi entrambe le figure in un unico file HTML
html_static = fig_static.to_html(full_html=False, include_plotlyjs='cdn')
html_strip = fig_strip.to_html(full_html=False, include_plotlyjs=False)
heatmap_path = os.path.join(out_dir, 'heatmap.html') heatmap_path = os.path.join(out_dir, 'heatmap.html')
fig_heatmap.write_html(heatmap_path) with open(heatmap_path, 'w', encoding='utf-8') as _f:
_f.write('<!DOCTYPE html><html><head><meta charset="utf-8"></head><body>\n')
_f.write(html_static)
_f.write('\n')
_f.write(html_strip)
_f.write('\n</body></html>')
print(f"Heatmap saved → {heatmap_path}") print(f"Heatmap saved → {heatmap_path}")
# ------------------------------------------------------------------ # ------------------------------------------------------------------
# 2. Animated profile T(x) evolving in time # 2. Animated profile T(x) evolving in time
# ------------------------------------------------------------------ # ------------------------------------------------------------------
L = config.L L = config.L
n_frames = len(t_vals)
# Subsample frames for a manageable animation (max ~200 frames)
max_frames = 200
step = max(1, n_frames // max_frames)
frame_indices = list(range(0, n_frames, step))
y_min = float(np.min(T_matrix)) - 1.0 y_min = float(np.min(T_matrix)) - 1.0
y_max = float(np.max(T_matrix)) + 1.0 y_max = float(np.max(T_matrix)) + 1.0