Standard syllabus
Computational fluid dynamics · Graduate · Engineering
Topics
Numerical methods for CFD
- Governing PDEs: continuity, momentum, energy
- Finite difference, volume, and element discretizations
- Consistency, stability, and convergence (Lax equivalence)
- CFL condition and time-stepping schemes
- Upwind versus central differencing for advection
- Pressure-velocity coupling: SIMPLE and PISO algorithms
- Staggered versus collocated grids
- Boundary conditions: inflow, outflow, walls
- Grid generation: structured, unstructured, hybrid
- Solution acceleration: multigrid and preconditioning
Turbulence and multiphysics CFD
- RANS, LES, and DNS hierarchy
- Turbulence model selection and wall functions
- Compressible flow solvers and shock capturing
- Multiphase flows: VOF and Eulerian-Eulerian methods
- Heat transfer and buoyancy in CFD
- Reacting flows and combustion models (survey)
- Fluid-structure interaction coupling schemes
- Adjoint-based shape optimization in CFD
- Uncertainty quantification in simulation
- Verification using method of manufactured solutions
Pricing
Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.