The bemPyLab series of lessons is part of a university course (Mathematical Modelling of Lifting Flows, Winter Semester 2020-21) by Prof. K.A. Belibassakis at the National Technical University of Athens. The first version began in October 2020 and these Jupyter Notebooks were prepared for the e-class, with assistance from the PhD student Dimitra Anevlavi. Any revisions will be added during this semester, adding student assignments to strengthen the overall learning experience.

The materials are distributed publicly and openly under a Creative Commons Attribution license, CC-BY 4.0

• tutorial1_fdm: For those who are not familiar with the Python programming language, and quite a bit rusty in terms of using the finite difference method (perhaps the holy grail of numerical methods for solving PDEs).

• Rankine oval
• Source and sink pair
• Superposition principle

Application of BEM for the wave resistance problem of a bluff body

Hess-Smith method for 2D lifting flows (Assignment - Compare the results obtained with BEM with thin airfoil theory, XFOIL and experimental data found in literature)

Hydrodynamic load prediction for 3D lifting flows around wings (Assignment - Compare the results obtained with VLM with lifting-line theory)

• tutorial2.1: The interior Laplace problem in 2D with Dirichlet boundary conditions - laplace2d_dirichlet01.py
• tutorial2.2: The interior Laplace problem in 2D with Neumann boundary conditions - laplace2d_neumann01.py

• Singular integral calculation
• Higher-order BEMs

[1] Barba, Lorena A., and Mesnard, Olivier (2019). Aero Python: classical aerodynamics of potential flow using Python. Journal of Open Source Education, 2(15), 45, https://doi.org/10.21105/jose.00045

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