Model Formulation

This section summarizes the mathematical foundation of the project. For full details, please refer to the relevant chapters of the thesis:

• Derivation of the Model Equations See Chapter 2 in the manuscript: Derivation of the Model Equations (PDF)

• Nonlinear Multimode Model See Chapter 3 in the thesis: Nonlinear Multimode Model (PDF)

These chapters contain the full derivation of the continuous governing equations and their numerical discretization.