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Pelin Guven Geredeli, an assistant professor in the Department of Mathematics and CoMFRE affiliate, is conducting two projects that hope to advance multiphase-flow discoveries. 

New techniques for fluid-structure interactions

The NSF-Applied Mathematics research project “Control Theory, Qualitative Analysis, and Approximation of Coupled Structure-Flow Interaction Systems” intends to generate novel techniques to analyze well-posedness, develop control theory and generate efficient and robust numerical methodologies to approximate the solutions of multiphase or certain fluid-structure interaction (FSI) partial differential equation (PDE) models which include Stokes or Navier-Stokes equations.

This project will shed light on:

• Multilayered FSI modeling to understand aneurysms caused by arterial wall deformations during the blood transportation process.
• Multiflow FSI modeling with a view to controlling the flutter induced by airflows and ice accretion on airplane wings in various atmospheric conditions.
• Modeling of Navier-Stokes flow – plate interaction dynamics that describe physical phenomena such as vibrations in elastic membranes and aerodynamics of structures.

Her collaborators include professors from the University of Nebraska-Lincoln, Clemson University and the University of Zagreb.

Bringing together the best minds in numerical fluid dynamics 

The NSF-Conference Organization project “Seventh Annual KUMUNU-ISU Conference in Partial Differential Equations, Dynamical Systems and Applications” intends to:

• focus on recent developments in the continuous and numerical analysis of fluid dynamics and FSI PDEs occurring in nature and engineering.
• bring together a diverse body of distinguished senior and early career researchers as well as graduate students and postdocs.

This conference will be held on April 22-23, 2023 at Iowa State University. 

Because graduate students, postdocs and early career faculty do not have many financial sources to attend conferences, Geredeli said this conference will be a crucial opportunity for everyone to share ideas and bring popularity to FSI dynamics.

“As mathematicians, we mostly look at FSI PDE modeling from a theoretical perspective. But I believe that if one could combine the theory with also numerical and simulation results, that would enhance the understanding of theories and make the study of multiphase or FSI dynamics more demanding,” Geredeli said. “This Conference aims to blend theory and numerics of those models.”