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Course Weekly Lecture Plan

Week Topic
1 1stWeek
Inroduction to Boundary Element Methods (BEM).

2ndWeek
Review of Basic Fluid Mechanics.

3rdWeek
Formulation of Fluid Mechanics Problems by BEMs (Green’s theorem, Neumann, Dirichlet boundary conditions, velocity-potential formulations etc.).

4thWeek
Numerical Implementation (Discretization of boundaries into pannels, singularity distributions, Galerkin-Collakation methods etc.).

5thWeek
Low-Order, High-Order Formulations, Discontinuties on Boundaries (Corners), Hydrofoil Kutta Condition, Numerical Error Analysis.

6thWeek
Formulation of 2-D Lifting Surface Bodies and Solution Procedures.

7thWeek
Cavitation Modelling, Dynamic Boundary Conditions, Supercavitation.

8thWeek
Formulation of 3-D Lifting Surface Bodies and Solution Procedures, Formulation of Tip Vortex and Tip Vortex Cavity, Linear vs Non-Lineer Approaches.

9thWeek
Unsteady Problems, Convection of Vorticity.

10thWeek
Free Surface Problems, Numerical Stability, Iterative Techniques.

11thWeek
Interaction Between Free Surface and Cavitation (or Supercavitation), Numerical Towing Tank Models.

12thWeek
Modelling of Cavitating Ship Propellers by BEMs and Solution Techniques.

13thWeek
Boundary Layer Theory and Viscous/inviscid flow coupling.

14thWeek
Hybrid BEM/FEM(FVM)'s methods, Possible Evolution of BEMS in Near Future and Their Applications.
 
 
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