Fundamentals of Transport & Pollution Modeling
- Introduction, Governing equations
- Reynolds stresses, Navier stokes equations, Advection DIffusion equation
- General description of PDE, Classification of PDEs
- Turbulence and Turbulence effect on the diffusion
- Analytical methods for the solution of Advection Diffusion Equations
- Numerical method Specification and different types of numerical methods
- The Finite Difference Method, Stability Analysis, Steady and Unsteady flow
- Explicit, Implicit and Semi Implicit Methods + Discretization
- Solution of system of equations
- Solution algorithms + Boundary conditions
- FDM Applications
- The Finite Volume Method
- Implicit, Explicit and semi Implicit Methods in FVM
- Solution algorithms, Boundary condition, ...
- Method of Characteristics
- An introduction to Finite Element Method