Week 1: Introduction about the Course; Finite Difference Method (preliminaries); Explicit, Implicit, ADI Formulation
Week 2: Stability Analysis; Conservative and Transportive Properties
Week 3: Upwinding, Artificial Viscosity, Second Upwind; Higher order Upwinding and some Important Issues
Week 4: Applications of Knowledge and Setting up an Algorithm; Finite Volume Method (FVM-preliminary concepts)
Week 5: FVM-Equations with First Derivatives; FVM-Equations with Second Derivatives
Week 6: Finite Element Method (FEM-Preliminary Concepts); FEM-Galerkin Weighted Residual Method
Week 7: FEM-Elemental contributions and formation of Global Matrix; Vorticity Stream Function Approach (Formulation and Algorithm)
Week 8: Vorticity Stream Function Approach (Application to Curvilinear Geometry); SIMPLE Algorithm (Continuity and Momentum Equations)
Week 9: SIMPLE Algorithm (Momentum Equations and Pressure Solver); MAC Algorithm (The MAC Method and Discretization of the Equations); MAC Algorithm (Pressure - Velocity Iteration and the Solution)
Week 10: MAC Algorithm (Solution of Energy Equation); A Finite Volume Method to solve NS Equations in 3D Complex Geometry (Part-1); A Finite Volume Method to solve NS Equations in 3D Complex Geometry (Part-2)
Week 11: A Finite Volume Method to solve NS Equations in 3D Complex Geometry (Part-3); Turbulent Flow and Heat Transfer (preliminaries); Prandtl's mixing length and universal velocity profile
Week 12: Mathematical Approaches to Turbulent Flows-1; Mathematical Approaches to Turbulent Flows-2; Advanced RANS Models; Large Eddy Simulation (LES) of Turbulence
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