Location
Innovation Lab Atrium
Start Date
4-3-2025 10:00 AM
End Date
4-3-2025 11:30 AM
Presentation Date
3 April 2025, 2:00pm - 3:30pm
Biography
Yafang Hei is a second-year Ph.D. student at Missouri University of Science and Technology (Missouri S&T), specializing in computational mathematics. She is a recipient of the Kummer Innovation and Entrepreneurship (I&E) Doctoral Fellowship and conducts research in computational mathematics under the supervision of Professor Xiaoming He.
Her academic interests include finite element methods for solving partial differential equations (PDEs), data assimilation, and neural networks.
Outside of her studies, she enjoys playing badminton, running, reading, and listening to music.
Meeting Name
2025 - Miners Solving for Tomorrow Research Conference
Department(s)
Mathematics and Statistics
Document Type
Poster
Document Version
Final Version
File Type
event
Language(s)
English
Rights
© 2025 The Authors, All rights reserved
Included in
Coupled time-dependent Stokes - Darcy model with Beavers–Joseph–Saffman–Jones interface boundary condition
Innovation Lab Atrium
Comments
Advisor: Xiaoming He
Abstract:
The interaction between free flow and porous media flow is a fundamental phenomenon in various real-world applications, including karst aquifers, blood flow in biological tissues, and membrane filtration for water purification. Understanding and accurately modeling this interaction is crucial for both scientific and engineering advancements.
To describe this phenomenon, we employ a mathematical model based on the time-dependent Stokes-Darcy system, incorporating the Beavers-Joseph-Saffman-Jones (BJSJ) interface conditions.
For the numerical solution of this system, we utilize the finite element method (FEM), a widely used and effective approach for solving partial differential equations (PDEs) with high accuracy, particularly in complex geometries. We derive a numerical scheme that achieves the optimal convergence rate, demonstrating both accuracy and efficiency in handling coupled free flow and porous media flow problems. Our results validate the robustness of the proposed method and its applicability to real-world scenarios.