Date: Friday, March 5 Time: 11.00 am to 11:30 am Location: Carslaw 350 Speaker: Oliver Rourke Abstract: The study of cavitation deals with the creation and collapse of bubbles in a fluid due to some external forcing. The phenomenon has been widely studied as a result of its applicability to a diverse range of fields including aeronautics, medicine and biophysics. In spherically symmetric cases, analytic solutions exist, but these solutions do not demonstrate bubble collapse. A more general approach is to use the Boundary Integral Method (BIM). The general problem can be formulated in terms of an integral equation, which can then be solved numerically by assuming rotational symmetry and using a collocation method. The resultant model will be tested in various scenarios and the output compared with both experimental data and, wherever possible, analytic solutions. (Note: All applied mathematics staff will be requested to attend the seminar, and provide marks for the talk.)