Chapter 3
Computational Workflow: From Physics Problem to Simulation
A reliable computational result begins with a clear physical question. This chapter follows the workflow from problem definition and analysis through mathematical modeling, computational design, implementation, and testing. It distinguishes verification of the numerical solution from validation of the physical model, and discusses simulation planning, interpretation, refinement, documentation, and maintenance. Examples of computational failures illustrate why assumptions, units, interfaces, and numerical limitations must be checked throughout a project.
In this chapter
- 3.1 Why workflow matters
- 3.2 The computational problem-solving cycle
- 3.3 Defining the problem
- 3.4 Analyzing the problem
- 3.5 From physics to mathematical model
- 3.6 Designing a computational project
- 3.7 Numerical methods and libraries
- 3.8 Coding and implementation
- 3.9 Testing and correction
- 3.10 Verification and validation
- 3.11 Run simulations and analyze results
- 3.12 Refinement and iteration
- 3.13 Documentation and maintenance
- 3.14 Lessons from computational failures