This experiment concerned the accurate simulation, via the finite element method, of the behaviour of an incompressible irrotational fluid flow around a cylinder in a duct. Our aims were to find the conditions under which the grid performs reasonably well and then to examine how the width of the duct affects the flow (in comparison to the analytical solution for an isolated cylinder). It was discovered that while a reasonable mesh can be easily defined, a really accurate mesh is difficult to predict. Also, the simulation was found to fail for high and low duct widths, and ways to improve the overall performance of the simulation are discussed.
An application of finite-element methods. (2nd Year)