Description
Explore the hierarchy of mathematical models for compressible flows and get an introduction to finite difference, finite volume, and finite element methods for their computation.
Prerequisites
Basic knowledge of linear algebra and ordinary differential equations (Stanford Course: CME206 ) or equivalent.
Topics include
- Ideal and transonic potential flow
- Euler equations
- Navier-Stokes equations
- Shocks, expansions, and contact discontinuities
- Representative model problems
- Treatment of boundary conditions
- Time and pseudo-time integration schemes