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Sub-skill of hydrodynamic-analysis: Application 3: Added Mass Convergence Check.
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| name | hydrodynamic-analysis-application-3-added-mass-convergence-check |
| description | Sub-skill of hydrodynamic-analysis: Application 3: Added Mass Convergence Check. |
| version | 1.0.0 |
| category | engineering |
| type | reference |
| scripts_exempt | true |
def check_added_mass_convergence(
panel_counts: list,
added_mass_results: list
) -> dict:
"""
Check convergence of added mass with panel count.
Args:
panel_counts: List of panel counts
added_mass_results: List of 6x6 added mass matrices
Returns:
Convergence assessment
"""
import plotly.graph_objects as go
# Check heave added mass convergence
A33_values = [A[2, 2] for A in added_mass_results]
# Calculate relative change
relative_changes = [
abs(A33_values[i] - A33_values[i-1]) / A33_values[i-1] * 100
for i in range(1, len(A33_values))
]
# Plot convergence
fig = go.Figure()
fig.add_trace(go.Scatter(
x=panel_counts,
y=A33_values,
name='A33 (Heave Added Mass)',
mode='lines+markers'
))
fig.update_layout(
title='Added Mass Convergence Study',
xaxis_title='Panel Count',
yaxis_title='A33 (tonnes)',
hovermode='x unified'
))
fig.write_html('reports/added_mass_convergence.html')
# Convergence criteria: < 1% change
converged = relative_changes[-1] < 1.0 if relative_changes else False
return {
'converged': converged,
'final_value': A33_values[-1],
'relative_change_percent': relative_changes[-1] if relative_changes else 0,
'recommended_panels': panel_counts[-1] if converged else 'Increase further'
}
# Example
panel_counts = [1000, 2000, 5000, 10000, 15000]
A_results = [
np.diag([15000, 15000, 45000, 1e6, 1e6, 5e5]),
np.diag([15000, 15000, 48000, 1e6, 1e6, 5e5]),
np.diag([15000, 15000, 49500, 1e6, 1e6, 5e5]),
np.diag([15000, 15000, 50000, 1e6, 1e6, 5e5]),
np.diag([15000, 15000, 50100, 1e6, 1e6, 5e5])
]
convergence = check_added_mass_convergence(panel_counts, A_results)
print(f"Converged: {convergence['converged']}")
print(f"Recommended panels: {convergence['recommended_panels']}")