CFD Course - 25 - Finite Volume Method: Implicit formulation
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/Quick...
👉 Visit https://quickersim.com/ for more information.
📌 Course agenda:
1. Idea of the course - • CFD Course - 1 - Idea of the course
2. Repetition of basic differential models - • CFD Course - 2 - Repetition of basic diffe...
3. Flow models - • CFD Course - 3 - Flow models
4. Conductive heat transfer models - • CFD Course - 4 - Conductive heat transfer ...
5. Convective heat transfer models - • CFD Course - 5 - Convective heat transfer ...
6. Radiative heat transfer models - • CFD Course - 6 - Radiative heat transfer m...
7. Heat transfer in porous media - • CFD Course - 7 - Heat transfer in porous m...
8. Chemical reactions models - • CFD Course - 8 - Chemical reactions models
9. Discretisation of space - • CFD Course - 9 - Discretisation of space
10. Discretisation of equations - • CFD Course - 10 - Discretisation of equations
11. Representation of gradients on a mesh - • CFD Course - 11 - Represantation of gradie...
12. Approximation of derivatives (1st, 2nd order derivatives, and stencils) - • CFD Course - 12 - Approximation of deriva...
13. Convergence rate plots - • CFD Course - 13 - Convergence rate plots
14. Method's order, mesh sensitivity study, and mesh independence - • CFD Course - 14 - Method's order, mesh sen...
15. Diffusion in orthotropic materials - • CFD Course - 15 - Diffusion in orthotropic...
16. FDM: 1D discretization - • CFD Course - 16 - Finite Difference Method...
17. FDM: Stability of the schemes - • CFD Course - 17 - Finite Difference Metho...
18. FDM: Numerical diffusion - • CFD Course - 18 - Finite Difference Method...
19. FDM: 2D case - • CFD Course - 19 - Finite Difference Method...
20. General FVM formulation for the scalar transport equation - • CFD Course - 20 - General FVM formulation ...
21. Computation of central and upwind fluxes in FVM - • CFD Course - 21 - Computation of central a...
22. FVM terminology (volumes, cells, faces, centroids) - • CFD Course - 22 - Finite Volume Method: te...
23. Conservativeness of the scheme - • CFD Course - 23 - Conservativeness of the ...
24. Explicit FVM formulation - • CFD Couse - 24 - Finite Volume Method: Coe...
25. Implicit FVM formulation - • CFD Course - 25 - Finite Volume Method: Im...
26. Gradient calculation and reconstruction - • CFD Course - 26 - Gradient calculation and...
27. Checkerboard pressure problem and staggered grid concept - • CFD Course - 27 - FVM: Checkerboard pressu...
28. Properties of the FVM matrix for Navier-Stokes discretization - • CFD Course - 28 - Properties of the FVM ma...
29. Solution algorithms (naive and SIMPLE) - • CFD Course - 29 - Solution algorithms: nai...
30. FEM: Intuitive introduction to the idea of FE - • CFD Course - 30 - FEM: Intuitive introduct...
31. FEM: Weak formulation of a scalar transport equation - • CFD Course - 31 - FEM: Weak formulation of...
32. FEM: Galerkin 1-D elements, local matrix derivation, reference element - • CFD Course - 32 - FEM: Galerkin 1 D elemen...
33. FEM: Global matrix assembly process - • CFD Course - 33 - FEM: Global matrix assem...
34. FEM: Transformation between reference elements and physical elements in 1D and 2D - • CFD Course - 34 - FEM: Transformation betw...
35. FEM: Gauss quadratures - • CFD Course - 35 - FEM: Gauss quadratures
36. FEM: Boundary conditions (Neumann, Dirichlet) - • CFD Course - 36 - FEM: Boundary conditions...
37. FEM: 2-D elements (linear quad, linear triangular elements) - • CFD Course - 37 - FEM: 2 D elements linear...
38. FEM: Mass and diffusion matrix properties - • CFD Course - 38 - FEM: Mass and diffusion ...
39. FEM for incompressible flows - • CFD Course - 39 FEM for incompressible flows
40. FEM: SUPG and stabilization techniques for convective problems - • CFD Course - 40 - FEM SUPG and stabilizati...
41. Numerical remarks: Timestepping, Nonlinearities, Underrelaxation, Linearization of source terms - • CFD Course - 41 - Numerical remarks
42. Short introduction into Boundary Element Method - • CFD Course - 42 - Short introduction into ...