Chapter 14: Formulation Diagnostics and Practical CCD Workflow

How to make a CCD study trustworthy¶

A trustworthy CCD study follows an auditable workflow from system objective and dependency mapping through verification, validation, fair baselines, and reproducible reporting. CCD is used only when coupling justifies its cost.

Learning objectives¶

After completing this chapter, you should be able to:

1. explain and apply CCD readiness;

2. explain and apply dependency and coupling;

3. explain and apply formulation repair;

4. explain and apply verification and validation;

5. formulate and verify the chapter methods on a poor suspension formulation repaired for scaling, redundancy, information, actuator limits, mesh, and initialization.

Mathematical lens¶

The recurring quantities are dependency map, coupling sensitivities, scaled residuals, mesh $h$, violation $V$, and objective $J$:

Running example¶

The recurring example is a poor suspension formulation repaired for scaling, redundancy, information, actuator limits, mesh, and initialization. Retaining one system prevents apparent improvements from being caused by changed physics, information, loads, or metrics.

Recommended workflow¶

1. define system objective.

2. map decisions.

3. test coupling.

4. verify numerics.

5. validate and benchmark.

Chapter map¶

1. Deciding Whether a Problem Needs CCD

2. Identifying Plant–Control Coupling

3. Sensitivity-Based Coupling Metrics

4. Selecting Design Variables

5. Choosing Objectives and Constraints

6. Feasibility Analysis

7. Constraint Relaxation

8. Numerical Verification

9. Model Validation

10. Benchmarking Against Sequential Design

11. Reporting Computational Effort

12. Reproducibility Standards