Panel method for potential flows, Part 2: Boundary integral equations in 3D flows скачать в хорошем качестве

Panel method for potential flows, Part 2: Boundary integral equations in 3D flows

Chanel: Science of Fluids,    / scienceoffluids   Playlist: Fluids made easy: 06- Fundamentals of potential flow theory    • Плейлист   This is a talk on how to build the boundary integral equation for the 3D flows of a uniform flow passing a structure. In most cases in Fluid Dynamics, 2D problems would be much easier than 3D problems, but this is a rare case, in which 3D boundary integral equation is actually easier to be obtained than those in 2D flows. In fact, the boundary integral equation in 2D has no such theoretical background as those in 3D. This is why he boundary integral equations in 3D is talked first (note: the 2D boundary integral equation would be discussed in the next talk). In the talk, we can see the mathematical beauties on how we can transform the integral on the control surface to the values on the structure surface for a structure fully submerged in a uniform flow. Such that the boundary integral equation can be only on the structure surfaces, and the solution can be found in a very straightforward way. It should be noted that in different situations, different methods must be used to simplify the boundary integral equations, so for solving the problems, for instance, for a wing, how we can generate lifts, and another example is the free-surface problem, as we see in eh wave-structure interactions... In this talk, following contents are included: 1) Boundary integral equations in 2D and 3D cases 2) Potential function decomposition: uniform flow and disturbance flow 3) Transforming the integrations from control surface to body surface 4) Final boundary integral equation and numerical solution 5) Retrieval of the potential function in fluid