Computational fluid dynamics

graduate
fluids
python
This course provides the student with theoretical and applied knowledge to address problems involving the study of fluid dynamics.
Author

Marco A. Alsina

Objectives

  • Establish the partial differential equations that describe the behavior the dynamic behavior of compressible and incompressible fluids.
  • Indentify the numerical schemes that allow to solve the dynamic behavior of fluids.
  • Numerically solve simple systems of fluid mechanics.
  • Implemenent, solve, and assess results from a computational fluid dynamics simulation.

Contents

Unit I: Basics

  1. Conservation of mass and moment
  2. Convective-diffusive transport
  3. Navier-Stokes equations for compressible and incompressible fluids
  4. Saint-Venant equations for shallow water
  5. Neumann and Dirichlet boundary conditions

Unit II: Simplified systems

  1. 1D convection equation
  2. 1D Burgers equation
  3. Courant-Friedrichs-Lewy condition (CFL)
  4. 2D convection equation
  5. 2D Burgers equation

Unit III: Complex systems

  1. 2D cavity flow
  2. Considerations for the resolution of complex systems
  3. Errors and uncertainties in CFD

Resources

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