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
What each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Numerical methods for CFD
Governing PDEs: continuity, momentum, energy
Coming soon - Turbulence and multiphysics CFD
RANS, LES, and DNS hierarchy
Coming soon - Software, HPC, and validation
OpenFOAM, Fluent, or Star-CCM+ workflow labs
Coming soon - Research frontiers
GPU-accelerated CFD frameworks
Coming soon
Pricing calculator
Choose materials, tutoring, or both — or book a single session as needed. Customize your plan on the subscribe page.
$1,162 · Computational fluid dynamics · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.