Computational Fluid Dynamics

Syllabus

1. Introduction (6 hours)
   1. Definition and scope of CFD
   2. CFD in chemical engineering: applications and industrial relevance
   3. CFD versus analytical and experimental approaches
   4. CFD process: Pre-processing, Solving, Post-processing
   5. Overview of CFD software tools
   6. Advantages, limitations, and challenges of CFD
   7. Governing equation of mass, energy and momentum
2. Discretization and Numerical Methods (12 hours)
   1. Overview of Finite Difference Method (FDM), Finite Element Method (FEM), and Finite Volume Method (FVM)
   2. Control Volume formulation
   3. FVM Basics: Discretization of 1D steady-state diffusion equation, Discretization of the 1D unsteady convection-diffusion equation
   4. Spatial Discretization Schemes: Central differencing Scheme (CDS), upwind differencing scheme (UDS), numerical diffusion and stability diffusion issues (Courant number)
3. Grid Generation and Mesh Quality (6 hours)
   1. Structures versus unstructured mesh
   2. Mesh quality parameters
   3. Grid independence study
   4. Boundary layer meshing (Inflation layers)
4. Solvers and Algorithms (6 hours)
   1. Pressure velocity coupling
   2. SIMPLE algorithm (Semi implicit method for pressure linked equation)
   3. SIMPLEC, PISO algorithms
   4. Linear equation solvers: Gauss Siedel, TDMA (Tri-diagonal matrix algorithm)
   5. Residuals and convergence criteria
5. Turbulence Modelling (5 hours)
   1. Nature of turbulence
   2. Reynolds averaging
   3. Reynolds-Averaged Navier-Stokes (RANS) models (k–ε turbulence models)
6. Multiphysics in Chemical Engineering (10 hours)
   1. Heat transfer (Conduction, convection)
   2. Species transport and reactions
   3. Multiphase flow: Eulerian-Eulerian, Eulerian-Lagrangian