Virtual Lab Notes Dec. 15

Event: Lab Notes

Topic: “Applying Computational Mathematics for Fluid-Structure Interactions in Physics and Biology”

Speaker: Professor Pengtao Sun of the department of mathematical sciences

Date & Time: Wednesday, Dec. 15, at noon

The interaction of a flexible structure with a flowing fluid, in which it is submersed or by which it is surrounded, gives rise to a rich variety of physical phenomena with applications in many fields of engineering, named as fluid-structure interaction (FSI). For example, the flow of blood through arteries, the response of bridges and tall buildings to winds, and the vibration of turbine blades. To understand these phenomena, we need to find an effective way to model and simulate both fluid and structure, simultaneously, by investigating the interaction between them. Our applications to FSI problems range from hydrodynamics (physics) to hemodynamics (biology, physiology), in which the involved structure is either incompressible or compressible and bears a deformable and/or rotational constitutive relation while the surrounding fluid flow is incompressible or nearly incompressible. In particular, our well-developed numerical methods have been successfully applied to several realistic dynamic FSI problems. Some belong to the hydrodynamics that involve a deforming and/or spinning turbine which is immersed in the fluid flow. Others belong to the hemodynamical applications, e.g., an artificial heart pump is rotating inside the artery to cure the heart−failure patients, and an intravascular stent is installed inside the artery by interacting with the blood flow as well as the artery to cure the aneurismal patients.

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