Speaker: Dr. Tulin Kaman, Department of Mathematical Sciences
Date: Wednesday, September 14, 2021, 3:30 PM – 4:20 PM
Title: Continuous data assimilation for fluid models: Foundations and new results
Abstract: A scramjet is a supersonic combustion ramjet in which air flows at supersonic speed and combustion takes place in the supersonic airflow through the engine. It is challenging to mathematically model and computationally analyze how fuel and air flow through a scramjet engine. Experimental and numerical studies of the scramjet combustion chamber have been performed in recent decades to quantify the uncertainties in the design of hypersonic aircraft. In this talk, we will introduce numerical approaches to modeling and simulating the turbulence and combustion. We will present Large Eddy Simulation of the combustion chamber of a scramjet experiment with finite rate chemistry, using only the fundamental chemical reaction equations. The combustion process modeled by the finite rate chemistry is based on the notion that it can be resolved on a larger scale than the turbulence Kolmogorov scale. We provide necessary guidance to the grid resolution needed to resolve the flame structures accurately and perform a full-domain numerical simulation of a three-dimensional scramjet experimental aircraft at Mach 7.
Bio: Dr. Tulin Kaman is currently an Assistant Professor in the Department of Mathematical Sciences at the University of Arkansas. She is also the holder of the Lawrence Jesser Toll Jr. Chair in the department where she is leading a research program in computational and applied mathematics. Her research focuses on the interfaces of modeling and simulation in computational fluid dynamics and turbulence, numerical methods for partial differential equations, computer aspects of numerical algorithms in scientific parallel computing and uncertainty quantification. Her research involves the study of the turbulent mixing and turbulent combustion to understand the physical instability mechanism on the important scientific and engineering problems.
Tulin Kaman received her B.S. in Mathematics from Yildiz Technical University and her M.S. in Computational Science and Engineering from Istanbul Technical University in Turkey. She earned her Ph.D. in Applied Mathematics and Statistics from Stony Brook University in New York, winning the Woo Jong Kim Dissertation Award. Afterwards she was a Paul Scherrer Institute Fellow, a post-doctoral researcher and lecturer in the Department of Computer Science at ETH-Zurich and Institute of Mathematics at the University of Zurich in Switzerland. She is a member of the American Mathematical Society (AMS), Association for Women in Mathematics (AWM) and Society for Industrial and Applied Mathematics (SIAM). She serves as the faculty advisor of the AWM/SIAM Student Chapters at the University of Arkansas, and in 2019 joined the SIAM Membership Committee that provides information and direction to address needs of various segments of membership including students, young professionals, international and industry.
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