2K6 ME 805(C): COMPUTATIONAL FLUID MECHANICS

Module I (12 hours)
Classification of partial differential equations – system of first and second-order partial differential equations – initial and boundary conditions – finite difference formulations – finite difference equations – finite difference approximation of mixed partial derivatives
Module II (12 hours)
Parabolic partial differential equations – explicit methods – implicit methods – parabolic equations in two-space dimensions – consistency, stability, and error analysis of finite difference equations – artificial viscosity
Module III (12 hours)
Elliptic equations – finite difference formulations – solution algorithms – hyperbolic equations – finite difference formulations -splitting methods – multiple-step method
Module IV (16 hours)
Scalar representation of the navier – stokes equations – model equations – numerical algorithms – incompressible navier – stokes equations – primitive variable and vorticity – stream function formulations – poisson equation for pressure – numerical algorithms – boundary conditions – staggered grid

Text book
Hoffmann Klaus A., “Computational Fluid Dynamics for Engineers – Volume I”, Engineering Education System, Wichita
Reference books
1 Patankar Suhas V., “Numerical Heat Transfer and Fluid Flow”, Taylor & Francis
2 Fletcher C.A.J., “Computational Techniques for Fluid Dynamics I, Springer Verlag
3 Anderson Dale A., Tannehill John C. & Pletcher Richard H., “Computational Fluid Mechanics and Heat Transfer”, Taylor & Francis