Announcement Detail
Monday, September 9, 2024
1:00 PM EST
Join via Zoom: https://us06web.zoom.us/j/
Student Chapter Seminar Series
High-Order Cut-Cell Discontinuous Galerkin Difference Method for CFD-based Design Optimization
Speaker
Sharanjeet Kaur, Argonne National Laboratory
Abstract
Computational fluid dynamics (CFD)-based aerodynamic design optimization requires automation, particularly when dealing with complex geometries that require boundary conforming meshes. To address this issue and help automate the design optimization process, non-boundary conforming meshes can be used, leading to cut-cell methods. However, cut-cell methods introduce their own challenges, one of which is a potentially ill-conditioned discretization due to some cut-cells being orders of magnitude smaller than regular shaped cells. In this talk, I present a high-order cut-cell method based on discontinuous Galerkin difference (DGD) discretization, designed to mitigate the small-cell problem without special treatment. I discuss the role of DGD basis functions and stencil construction in maintaining a well- conditioned cut-DGD discretization. Numerical experiments demonstrate that condition numbers of cut-DGD mass and stiffness matrices remain bounded as cut-cell size approaches zero. Additionally, I present numerical integration of arbitrarily shaped cut-cells using a level-set formulation, enabling approximation of general shapes such as airfoils. Fluid-flow accuracy studies are conducted to demonstrate the high-order accuracy of cut-DGD by solving two-dimensional Euler equations.
Biography
Currently, I work as a Postdoctoral Appointee in the Transportation and Power systems division of Argonne National Laboratory, where my research focuses on using high-order CFD methods to model turbulent reacting flows. I received my PhD (Aeronautical Engineering) from Rensselaer Polytechnic Institute (RPI) in August 2023 under the guidance of Dr. Jason Hicken at the Optimal Design Lab. My doctoral research focused on the development of a high-order cut- cell method for CFD-based design optimization. After graduation, I continued at RPI as a Postdoctoral Research Associate until April 2024, working on developing an interface for performing anisotropic mesh adaptation for unsteady hypersonic flow problems. Additionally, I completed my Master of Engineering (Aerospace Engineering) from Indian Institute of Science (2015-17), where I performed a low-speed wing optimization of an unmanned aerial vehicle to maximize endurance.