Computational Fluid Dynamics

Philosophy of computational fluid dynamics (CFD), review of equations governing fluid flow and heat transfer, simplified flow models such as incompressible, inviscid, potential and creeping flow, flow classification.

Structured and unstructured grids, choice of suitable grid, grid transformation of equations, some modern developments in grid generation in solving the engineering problems.

Discretization of ODE and PDE, approximation for first, second and mixed derivatives, implementation of boundary conditions, discretization errors, applications to the engineering problems.

Finite Element Method (FEM) Element types: Line, plane, and solid elements, Finite element formulation, Integral formulations for two-dimensional problems, Numerical integration for two-dimensional problems, Interpolation functions: functions for triangular and rectangular elements, Assembly of 2-D finite elements

Discretization methods, approximations of surface integrals and volume integrals, interpolation and differential practices, implementation of boundary conditions, application to the engineering problems. Total Remark: Basic computational fluid dynamics software recommended for practice of problem