Computational Fluid Dynamics Fundamentals Course
An introduction to the fundamentals of Computational Fluid Dynamics (CFD) that are used to solve complex fluid dynamics problems (weather prediction, aircraft flight, turbomachinery) by researchers, scientists and engineers around the world. The course starts from first principles and you will rapidly develop your first CFD solution using the Excel sheets and Python source code provided. By the end of the course, you will understand the importance of upwind differencing, Peclet number and mesh resolution. No prior experience is required and no specific CFD code/coding experience is required! You do not need ANSYS Fluent, OpenFOAM, Star CCM or any other CFD to use this course.
Welcome and how to use this course
A short introduction to the course, with instructions on how to best follow along with the course material.
Introduction to Transport Equations
The course starts off with an introduction to the Navier-Stokes equations, which are derived from Newton's second law. The general form of transport equations for temperature, species concentration and passive scalars are then introduced. It is shown that all transport equations in CFD share a common form and can all be analysed with the same framework used in this course.
The Diffusion Equation
The finite volume discretisation of the 1D diffusion equation is introduced in this Lecture, for both interior and boundary cells. The finite volume equations are then assembled in matrix form (AX=B) and solved.
The Convection-Diffusion Equation
The finite volume discretisation of the diffusion equation from the precious lecture is extended to include the convection term. The relative strength of the convective and diffusive transport mechanisms are compared using the Peclet number. High and low Peclet number solutions are generated with central differencing and it is shown that central differencing leads to non-physical oscillations at high Peclet number.
Upwind differencing for the convection term is introduced in this Lecture and is compared with central differencing from the previous Lecture. It is shown that upwind differencing eliminates the non-physical oscillations that are generated by central differencing. However, it also leads to a reduction in accuracy as the scheme is only first order accurate.
CFD Fundamentals Quiz
Test your knowledge of the concepts introduced in this course with this quiz!