Computational Fluid Dynamics
 Professor
 Gustavo Buscaglia.
 email: gustavo.buscaglia at
icmc.usp.br
 Undergraduate course I
 Stress in a continuum. Hydrostatic stress. Hydrostatic equilibrium.
Numerical integration applied to hydrostatics. Computation of forces.
Rigid body dynamics. Bodies under hydrostatic forces. Stability.
Hydrostatics and surface tension. Shape EDO and numerical solution.
Fully developed flow, empirical approach. Turbulence. Moody diagram.
Hydraulic networks as nonlinear systems. Solution. Interpretation.
Introduction to CFD of internal flows. Models. Wall laws.

Course material
 Undergraduate course II
 Numerical treatment of external flows:
Fluid kinematics. Strainrate. Vorticity. Incompressibility.
Streamlines, streaklines and trajectories. Numerical computation.
Velocity potential. Streamfunction. Irrotational flows.
Boundary conditions. Numerical treatment.
Weaklycompressible irrotational flows. Numerics. Computation
by nonlinear continuation.
Euler equations. Hyperbolic conservation laws. Finite volume basics.
Acoustic approximation. Numerical treatment of linear hyperbolic systems.
Finite volume formulation of compressible Euler and NavierStokes equations.
Overview of techniques used in commercial codes.
Handson experience with commercial codes.
 Graduate course

Principles and equations of fluid mechanics.
Elliptic equations by finite differences/volumes.
Application: Steady fullydeveloped flow.
Parabolic equations.
Application: Transient fullydeveloped flow. Womersley flow.
Hyperbolic equations. Upwinding. Godunov scheme.
Linear hyperbolic systems: Acoustic equations.
Nonlinear hyperbolic systems: Shallow water equations.
NavierStokes equations: Some discretization procedures.
 Texts: FerzigerPeric, ColellaPuckett, Leveque, Wesseling.

Course material
Last update: 2012