CFD Course - 37 - FEM: 2 D elements linear quad linear triangular elements

Quickersim CFD course is a complete training on Computational Fluid Dynamics (CFD) conducted by Bartosz Górecki, PhD.
📄 PDF file with notes from the course: https://www.quickersim.com/_ftp/QuickerSim_CFD_course_notes.pdf

👉 Visit https://quickersim.com/ for more information.

📌 Course agenda:
1. Idea of the course - https://www.youtube.com/watch?v=z6Bt-k1me9w&list=PLZsgQL03AlrcmFMnkFOWDpMsiK4mmDli2&index=1
2. Repetition of basic differential models - https://www.youtube.com/watch?v=3hwEBreV3eQ&list=PLZsgQL03AlrcmFMnkFOWDpMsiK4mmDli2&index=2
3. Flow models - https://www.youtube.com/watch?v=eKaoYplXk-8&list=PLZsgQL03AlrcmFMnkFOWDpMsiK4mmDli2&index=3
4. Conductive heat transfer models - https://www.youtube.com/watch?v=mhsTijKJRT0&list=PLZsgQL03AlrcmFMnkFOWDpMsiK4mmDli2&index=4
5. Convective heat transfer models - https://youtu.be/ddlrkEe3ro8
6. Radiative heat transfer models - https://youtu.be/jcpQfSxKrN4
7. Heat transfer in porous media - https://youtu.be/z1-56INkeH8
8. Chemical reactions models - https://youtu.be/kS1gCWiR2DQ
9. Discretisation of space - https://youtu.be/OCHV7tI3mpA
10. Discretisation of equations - https://youtu.be/LgXMKYg-QTk
11. Representation of gradients on a mesh - https://youtu.be/4dbpq27r_fA
12. Approximation of derivatives (1st, 2nd order derivatives, and stencils) - https://youtu.be/7qWI5HObCoo
13. Convergence rate plots - https://youtu.be/GXI_6sreZbA
14. Method's order, mesh sensitivity study, and mesh independence - https://youtu.be/pKMEyjJIryU
15. Diffusion in orthotropic materials - https://youtu.be/LEeML01Uw9w
16. FDM: 1D discretization - https://youtu.be/BKTkDa9s8Bo
17. FDM: Stability of the schemes - https://youtu.be/Wh16jmRc6_Y
18. FDM: Numerical diffusion - https://youtu.be/_XkCGvbNejY
19. FDM: 2D case - https://youtu.be/q7j9AVU3VGM
20. General FVM formulation for the scalar transport equation - https://youtu.be/udSeb_uMJB8
21. Computation of central and upwind fluxes in FVM - https://youtu.be/s5Ar5c38fYA
22. FVM terminology (volumes, cells, faces, centroids) - https://youtu.be/c8J0nIbW1g8
23. Conservativeness of the scheme - https://youtu.be/52ZhQejtFZ4
24. Explicit FVM formulation - https://youtu.be/RxMPumyMuJw
25. Implicit FVM formulation - https://youtu.be/WNDwhwmQeL8
26. Gradient calculation and reconstruction - https://youtu.be/XJ3sIhhgaQw
27. Checkerboard pressure problem and staggered grid concept - https://youtu.be/_dsYuUkfvWE
28. Properties of the FVM matrix for Navier-Stokes discretization - https://youtu.be/l6ktu44ChuM
29. Solution algorithms (naive and SIMPLE) - https://youtu.be/6oLwJSWpPu4
30. FEM: Intuitive introduction to the idea of FE - https://youtu.be/Wt2YfAZqazg
31. FEM: Weak formulation of a scalar transport equation - https://youtu.be/Mg2s2qXPQBg
32. FEM: Galerkin 1-D elements, local matrix derivation, reference element - https://youtu.be/nqJABBnkEpg
33. FEM: Global matrix assembly process - https://youtu.be/zLpcK1Vjk_o
34. FEM: Transformation between reference elements and physical elements in 1D and 2D - https://youtu.be/jbfaGHEy8UY
35. FEM: Gauss quadratures - https://youtu.be/NCkmcbr0s7Q
36. FEM: Boundary conditions (Neumann, Dirichlet) - https://youtu.be/h5dafsAWmGI
37. FEM: 2-D elements (linear quad, linear triangular elements) - https://youtu.be/b5Il7xQQUXQ
38. FEM: Mass and diffusion matrix properties - https://youtu.be/FWia-9bgkXQ
39. FEM for incompressible flows - https://youtu.be/Uieywt55fhc
40. FEM: SUPG and stabilization techniques for convective problems - https://youtu.be/dG5RoXjvVzM
41. Numerical remarks: Timestepping, Nonlinearities, Underrelaxation, Linearization of source terms - https://youtu.be/utLsT3C7qko
42. Short introduction into Boundary Element Method - https://youtu.be/62ta8Cvv-ys