Numerical Methods in Fluid Dynamics & Heat Transfer
Numerical methods support for fluid dynamics and heat transfer covering FDM, FVM, FEM, error, convergence, and meshes.
Course Content
Weekly contentThis module covers PDE fundamentals and physical modeling through conceptual framing and problem solving.
This module covers Discretization logic from continuous to discrete form through conceptual framing and problem solving.
This module covers FDM: finite difference method through conceptual framing and problem solving.
This module covers FVM: finite volume method with CFD-focused solution logic through conceptual framing and problem solving.
This module covers FEM: finite element method through conceptual framing and problem solving.
This module covers Numerical error, convergence, and stability through conceptual framing and problem solving.
This module covers Mesh structures and quality through conceptual framing and problem solving.
This module covers Linear algebra and solvers through conceptual framing and problem solving.
This module covers Applications selected by course needs through conceptual framing and problem solving.
Targeted Learning Outcomes
- Classify flow, heat, and mass transfer PDEs and choose suitable numerical approaches
- Clarify the differences and use cases of FDM, FVM, and FEM
- Apply error, convergence, and stability concepts when reading numerical results
- Evaluate the impact of mesh quality on accuracy and stability
- Interpret solver behavior through residuals and convergence criteria
Recommended Prerequisites
- Basic calculus and differential equations
- Linear algebra, including matrices, vectors, and basic solution methods
- Introductory fluid mechanics and/or heat transfer is preferred