Fluid mechanics is the study of fluid flow. It deals with the mathematical modeling of fluid motion to understand the behavior of flow in different scenarios. The motion of a fluid is modeled by the Navier-Stokes (NS) equations. The numerical approach to solving the equations governing fluid flow is known as Computation Fluid Dynamics (CFD). As NS equations model the flow of a fluid isolated from other medium (such as a solid), typically CFD has been used to solve problems involving simple geometry (modeled as boundary conditions) and idealized flow conditions. A realistic scenario of fluid flow almost always involves flow of a fluid around complex geometries, be it man-made (such as a vehicle, urban environment, etc) or natural (such as birds, fishes, etc). One of the techniques of numerically modeling interaction between fluid and solid/structure with complex geometries is the immersed boundary method.
Immersed boundary method can enable numerical simulation of complex systems in engineering and biology to enhance our understanding of these systems.
The challenges, advantages and limitations of immersed boundary methods in the context of HPC will be presented. And, applications of immersed boundary method in engineering and biology will be discussed.