Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:Mathematical properties of Fluid Dynamics Equations , Elliptic, Parabolic and Hyperbolic equations, Initial and Boundary conditions - Well posed‐ ill Posed problems , Discretization of partial differential equations , Grid generation – Introduction, types of grids – structured, unstructured , Boundary layer equations and methods of solution , Implicit time dependent methods for inviscid compressible flows , Implicit time dependent methods for viscous compressible flows, Concept of numerical dissipation, Stability properties of explicit and implicit methods , Conservative upwind discretization for hyperbolic systems , Finite Element Techniques in Computational Fluid Dynamics , Introduction ‐ Strong and weak formulations of a boundary value problem , Strong formulation , Weighted residual formulation - Galerkin formulation , Weak formulation , Variational formulation , Piecewise defined shape functions , Implementation of the FEM , Finite Volume Techniques ‐ Cell centered formulation , Lax – Wendroff time stepping , Runge‐Kutta time Stepping , Multi‐stage time stepping , Accuracy Cell vertex formulation , Multistage Time Stepping , FDM ‐like finite volume techniques , Meshless methods , Explicit finite difference methods of subsonic, supersonic and viscous flows , Implicit and explicit schemes; Source panel method ‐ Vortex panel method , Pressure and Velocity corrections , Pressure correction equation , SIMPLE algorithm and its variants , PISO algorithms , Turbulence models , Algebraic mixing length model, One and two equation models, High and low Reynolds number models, Case study of Stage separation Aerodynamics of future space transport systems.
