Computational Fluid Dynamics (I)
- T1) CFD and its applications in different fields of engineering, T2) The concept of numerical solution of equations on discrete domain
- T1) Short Introduction to Domain discretization, T2) Structured and Unstructured grids
- T1) Physical and Mathematical classification of partial differential equations,
T2) Some differential equations of interest
- Basics of finite difference method: Different difference approximations
- Difference representation of partial differential equations: Truncation error, Consistency, Stability, Convergence, Round-off and discretization errors
- T1) Finite difference and finite volume methods, T2) Unsteady 2D heat conduction problem
- Stability Consideration: Von Neumann Analysis
- Application of finite difference methods to Wave Equation ----- Project
- Application of finite difference methods to Heat Equation
- Application of finite Volume and finite difference methods to Heat and Laplaces equations----- Project
- Methods for the solution of Linear Algebraic System of Equation
- Convection Diffusion equation and its solution in one dimension
- Convection Diffusion equation and its solution in two dimensions----- Project
- T1) Solution of incompressible fluid flow equations: Pressure-Checker board problem, T2) Staggered and colocated grid arrangements
- Solution procedure for one dimensional incompressible flow using colocated grid arrangement----- Project