Inroduction to Computational Fluid Dynamics

Course materials

• Lecture - Introduction (pdf)
• Lecture - Euler method (pdf)
• Lecture - Higher order methods (pdf)
• Lecture - Boundary Value Problems (pdf)
• Lecture - Multiple Shooting and Extrapolation (pdf)
• Lecture - Finite Difference (pdf)
• Lecture - Stability - 1 (pdf)
• Lecture - Absolute Stability (pdf)
• Lecture - PDEs (pdf)
• Lecture - Differencing (pdf)
• Lecture - Elliptic PDEs (pdf)
• Lecture - Iterative Methods (pdf)
• Lecture - Convergence (pdf)
• Lecture - Parabolic PDEs (pdf)
• Lecture - 2nd Order Methods for Parabolic PDEs (pdf)
• Lecture - Stability of Methods for Parabolic PDEs (pdf)
• Lecture - Von Neumann Stability Method (pdf)
• Lecture slides (pdf)
• Notes (pdf)

Examples

• Fortran - examples 20 (f90)
• Fortran - Euler's Method (f90)
• Fortran - Euler's Method 2nd order equation (f90)
• Fortran - RK4 Method 2nd order equation (f90)
• Examples Sheet 3 (pdf)
• Fortran - ODE finite difference (f90)
• Examples Sheet 4 (pdf)
• Fortran - Elliptic PDE finite difference (f90)
• Fortran - Elliptic PDE input file (in)
• Examples Sheet 5 (pdf)
• Examples Sheet 6 (pdf)
• Heat Equation input file (in)
• Heat Equation (f90)
• Exact Results (dat)
• Examples Sheet 7 (pdf)

Plotting

• Gnuplot - Generates results (f90)
• Gnuplot - Generates results in 2D (f90)
• Examples Sheet (pdf)
• Gnuplot - reference
• Contour plotting
• Matlab
• FAQs

Reading List

• Burden, R. L. and J. D. Faires, "Numerical Analysis", Brooks.
• G. D. Smith, "Numerical Solution of Partial Differential Equations", Clarendon Press.