Course on Computational Fluid Dynamics

Computational Fluid Dynamics

Professor: Gustavo Buscaglia.; e-mail: 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. Strain-rate. Vorticity. Incompressibility.
Streamlines, streaklines and trajectories. Numerical computation.
Velocity potential. Streamfunction. Irrotational flows. Boundary conditions. Numerical treatment.
Weakly-compressible 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 Navier-Stokes equations.
Overview of techniques used in commercial codes.
Hands-on experience with commercial codes.
Graduate course: Principles and equations of fluid mechanics.
Elliptic equations by finite differences/volumes.
Application: Steady fully-developed flow.
Parabolic equations.
Application: Transient fully-developed flow. Womersley flow.
Hyperbolic equations. Upwinding. Godunov scheme.
Linear hyperbolic systems: Acoustic equations.
Non-linear hyperbolic systems: Shallow water equations.
Navier-Stokes equations: Some discretization procedures.; Texts: Ferziger-Peric, Colella-Puckett, Leveque, Wesseling.; Course material