Handouts

Lecture notes:

• Lecture Notes Numerics and Compressible Flow (last update 20220103): SG2212_Lecture_Notes.pdf Download SG2212_Lecture_Notes.pdf
• Lecture Notes: Introduction to fluid mechanics: Introduction_Fluid_Mechanics.pdf Download Introduction_Fluid_Mechanics.pdf
• Lecture Notes: Incompressible NS equations and FV method: Incompressible_NS_and_FV_methoth.pdf Download Incompressible_NS_and_FV_methoth.pdf
• Lecture notes: Methods for incompressible flows: Methods_for_incompressible_flows.pdf Download Methods_for_incompressible_flows.pdf 
• Lecture notes: Iterative methods: Iterative_methods.pdf Download Iterative_methods.pdf
• Lecture notes: Coordinate transformation: Coordinate_transformation.pdf Download Coordinate_transformation.pdf
• Lecture notes: Unstructured FV: Unstructred_grid.pdf Download Unstructred_grid.pdf
• Lecture notes: Upwind scheme and flux splitting: Upwind_scheme.pdf Download Upwind_scheme.pdf
• Lecture notes: Compact finite differences: Compact_finite_differences.pdf Download Compact_finite_differences.pdf

 

Jupyter Notebooks:

To run the below scripts, either install "anaconda Links to an external site." on your computer, and start Jupyter notebooks. You will then have a free powerful tool for any type of numerical computation and data science at your fingertips! Alternatively, you can view the Jupyter notebooks using nbviewer, or run them on binder.

• Basic types of PDEs:
  PDE types.ipynb on nbviewer Links to an external site. or run on binder Links to an external site..
• Errors of derivatives:
  ferr.ipynb on nbviewer Links to an external site. or run on binder Links to an external site..
• Absolute stability for RK and AB schemes:
  rk.ipynb on nbviewer Links to an external site. or run on binder Links to an external site..
• Stability of advection equation using upwind (FTBS) scheme:
  blowup.ipynb on nbviewer Links to an external site. or run on binder Links to an external site..
• Burgers equation using upwind flux-splitting scheme:
  burgers.ipynb on nbviewer Links to an external site. or run on binder Links to an external site..
• Burgers equation using low and high-order schemes:
  flux_limiter.ipynb on nbviewer Links to an external site. or run on binder Links to an external site..

 

Study Questions:

• Study questions 2022: study_questions.pdf Download study_questions.pdf