Post-Processing Skill

Analyze and extract meaningful information from simulation output data.

Goal

Transform raw simulation output into actionable insights through field extraction, statistical analysis, derived quantities, visualizations, and comparison with reference data.

Inputs to Gather

Before running post-processing scripts, collect:

1. Output Data Location

• Path to simulation output files (JSON, CSV, HDF5, VTK)
• Time step/snapshot indices of interest
• Field names to extract

1. Analysis Type

• Field extraction (spatial data at specific times)
• Time series (temporal evolution of quantities)
• Line profiles (1D cuts through domain)
• Statistical summary (mean, std, distributions)
• Derived quantities (gradients, integrals, fluxes)
• Comparison to reference data

1. Output Requirements

• Output format (JSON, CSV, tabular)
• Visualization needs
• Report format

Scripts

| Script | Purpose | Key Inputs | |--------|---------|------------| | field_extractor.py | Extract field data from output files | --input, --field, --timestep | | time_series_analyzer.py | Analyze temporal evolution | --input, --quantity, --window | | profile_extractor.py | Extract line profiles | --input, --field, --start, --end | | statistical_analyzer.py | Compute field statistics | --input, --field, --region | | derived_quantities.py | Calculate derived quantities | --input, --quantity, --params | | comparison_tool.py | Compare to reference data | --simulation, --reference, --metric | | report_generator.py | Generate summary reports | --input, --template, --output |

Workflow

1. Data Inventory

First, understand what data is available:

bash
# List available fields and timesteps
python scripts/field_extractor.py --input results/ --list --json

2. Field Extraction

Extract spatial field data at specific timesteps:

bash
# Extract concentration field at timestep 100
python scripts/field_extractor.py \
    --input results/field_0100.json \
    --field concentration \
    --json

# Extract multiple fields
python scripts/field_extractor.py \
    --input results/field_0100.json \
    --field "phi,concentration,temperature" \
    --json

3. Time Series Analysis

Analyze temporal evolution of quantities:

bash
# Extract total energy vs time
python scripts/time_series_analyzer.py \
    --input results/history.json \
    --quantity total_energy \
    --json

# Compute moving average with window
python scripts/time_series_analyzer.py \
    --input results/history.json \
    --quantity mass \
    --window 10 \
    --json

# Detect steady state
python scripts/time_series_analyzer.py \
    --input results/history.json \
    --quantity residual \
    --detect-steady-state \
    --tolerance 1e-6 \
    --json

4. Line Profile Extraction

Extract 1D profiles through the domain:

bash
# Extract profile along x-axis at y=0.5
python scripts/profile_extractor.py \
    --input results/field_0100.json \
    --field concentration \
    --start "0,0.5,0" \
    --end "1,0.5,0" \
    --points 100 \
    --json

# Interface profile (through center)
python scripts/profile_extractor.py \
    --input results/field_0100.json \
    --field phi \
    --axis x \
    --slice-position 0.5 \
    --json

5. Statistical Analysis

Compute statistics over field data:

bash
# Global statistics
python scripts/statistical_analyzer.py \
    --input results/field_0100.json \
    --field concentration \
    --json

# Statistics in specific region
python scripts/statistical_analyzer.py \
    --input results/field_0100.json \
    --field phi \
    --region "x>0.3 and x<0.7" \
    --json

# Distribution analysis
python scripts/statistical_analyzer.py \
    --input results/field_0100.json \
    --field phi \
    --histogram \
    --bins 50 \
    --json

6. Derived Quantities

Calculate physical quantities from raw data:

bash
# Compute interface area
python scripts/derived_quantities.py \
    --input results/field_0100.json \
    --quantity interface_area \
    --threshold 0.5 \
    --json

# Compute gradient magnitude
python scripts/derived_quantities.py \
    --input results/field_0100.json \
    --quantity gradient_magnitude \
    --field phi \
    --json

# Compute volume fractions
python scripts/derived_quantities.py \
    --input results/field_0100.json \
    --quantity volume_fraction \
    --field phi \
    --threshold 0.5 \
    --json

# Compute flux through boundary
python scripts/derived_quantities.py \
    --input results/field_0100.json \
    --quantity boundary_flux \
    --field concentration \
    --boundary "x=0" \
    --json

7. Comparison with Reference

Compare simulation results to reference data:

bash
# Compare to analytical solution
python scripts/comparison_tool.py \
    --simulation results/profile.json \
    --reference reference/analytical.json \
    --metric l2_error \
    --json

# Compare to experimental data
python scripts/comparison_tool.py \
    --simulation results/history.json \
    --reference experimental_data.csv \
    --metric rmse \
    --interpolate \
    --json

# Compare two simulations
python scripts/comparison_tool.py \
    --simulation results_fine/field.json \
    --reference results_coarse/field.json \
    --metric max_difference \
    --json

8. Report Generation

Generate automated reports:

bash
# Generate summary report
python scripts/report_generator.py \
    --input results/ \
    --output report.json \
    --json

# Generate with specific sections
python scripts/report_generator.py \
    --input results/ \
    --sections "summary,statistics,convergence" \
    --output report.json \
    --json

Typical Post-Processing Pipeline

For a complete simulation analysis:

bash
# Step 1: Inventory available data
python scripts/field_extractor.py --input results/ --list --json

# Step 2: Extract final state statistics
python scripts/statistical_analyzer.py \
    --input results/field_final.json \
    --field phi \
    --json

# Step 3: Analyze convergence history
python scripts/time_series_analyzer.py \
    --input results/history.json \
    --quantity residual \
    --detect-steady-state \
    --json

# Step 4: Compute derived quantities
python scripts/derived_quantities.py \
    --input results/field_final.json \
    --quantity volume_fraction \
    --field phi \
    --json

# Step 5: Compare to reference (if available)
python scripts/comparison_tool.py \
    --simulation results/profile.json \
    --reference benchmark/expected.json \
    --metric l2_error \
    --json

# Step 6: Generate summary report
python scripts/report_generator.py \
    --input results/ \
    --output analysis_report.json \
    --json

Interpretation Guidelines

Time Series Analysis

• Monotonic decrease in energy: System approaching equilibrium
• Oscillations in residual: May indicate time step too large
• Plateau in quantities: Steady state reached
• Sudden jumps: Possible numerical instability

Statistical Analysis

• Bimodal distribution of order parameter: Two-phase mixture
• High variance: Heterogeneous microstructure
• Skewed distribution: Asymmetric phase fractions

Comparison Metrics

| Metric | Interpretation | |--------|----------------| | L2 error < 1% | Excellent agreement | | L2 error 1-5% | Good agreement | | L2 error 5-10% | Moderate agreement | | L2 error > 10% | Poor agreement, investigate |

Output Format

All scripts support --json flag for machine-readable output:

json
{
    "script": "field_extractor",
    "version": "1.0.0",
    "input_file": "results/field_0100.json",
    "field": "concentration",
    "data": {
        "shape": [100, 100],
        "min": 0.1,
        "max": 0.9,
        "mean": 0.5
    },
    "values": [[...], [...]]
}

References

For detailed information, see:

• references/data_formats.md - Supported input/output formats
• references/statistical_methods.md - Statistical analysis methods
• references/derived_quantities_guide.md - Physical quantity calculations
• references/comparison_metrics.md - Error metrics and interpretation

Requirements

• Python 3.8+
• NumPy (for numerical operations)
• No other external dependencies for core functionality

Version History

• v1.0.0 (2024-12-24): Initial release