Group Meeting
Past Events
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Thursday, March 14, 202412:30PM, Warren Weaver Hall 1302
Solving fluid flow PDEs with Quantum Computing
Sachin S. Bharadwaj, TandonSynopsis:
With the promise of computational advantage in memory and speed, quantum computing has emerged as a potential counterpart to classical machines, for numerically solving problems in a wide range of applications, each with a unique computational challenge. We discuss one such unique domain -- fluid dynamics, whose study involves solving well defined, governing partial differential equations, derived from the underlying flow physics. First we give a brief introduction to some fundamental concepts of quantum computing. Then we proceed to an overview of different algorithms developed in this field, while also highlighting the challenges involved in simulating practical nonlinear PDEs. We will then delve into some specific non-linear embedding methods, state-of-the-art quantum algorithms, their computational complexities and the flow simulation results with a hybrid quantum-classical scheme. We will also highlight here, a high-performance, open-source quantum simulator package called QFlowS, that was developed in-house as part of this work. We then give a pragmatic outlook on current quantum hardware capabilities by solving a one-dimensional, linear advection-diffusion problem on a real IBM quantum device. Finally an outline of future directions and bottlenecks that need attention in this area of research will be discussed.
References:1. S.S. Bharadwaj and K.R. Sreenivasan, Quantum Computation of Fluid Dynamics, PNLD, Ind. Acad. Sci. 3, 2020 (arXiv:2007.09147)2. S.S. Bharadwaj and K.R. Sreenivasan, Hybrid quantum algorithms for flow problems, PNAS, 120, 2023 (arXiv:2307.00391)3. J. Ingelmann, S.S. Bharadwaj, P. Pfeffer, K.R. Sreenivasan and J. Schumacher, Two quantum algorithms for solving the one-dimensional advection-diffusion equation (under review - Computers & Fluids), 2024 (arXiv:2401.00326) -
Thursday, February 29, 202412:30PM, Warren Weaver Hall 1302
Spatiotemporal patterns in large-scale cortical simulations
Guanhua Sun and Nandan Kulkarni, University of Michigan, Courant InstituteSynopsis:
Following an introduction by Nandan Kulkarni, we will present a model of the mouse cortex(>400,000 biological neurons) and a series of simulations of the model, where different spatiotemporal patterns, such as traveling waves, emerge from different connectivity, connection strength and external stimuli.
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Thursday, February 22, 202412:30PM, Warren Weaver Hall 1302
Intro to the FFT as a matrix factorization and Butterfly-accelerate Gaussian random fields on manifolds
Paul Beckman, Ed Chen, Courant InstituteSynopsis:
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Thursday, February 8, 202412:30PM, Warren Weaver Hall 1302
The fluid dynamics of ice and Numerical solution of a contact problem in glaciology
Georg Stadler and Gonzalo Gonzalez de Diego, Courant InstituteSynopsis:
10 minute introduction to the fluid dynamics of ice by Georg Stadler
Talk by Gonzalo Gonzalez de Diego: A Stokes problem with contact boundary conditions and an evolving free boundary emerges in the study of glaciers when modeling the formation of subglacial cavities and grounding line dynamics. Before describing this contact problem, Gonzalo will first give an introduction to modeling the evolution of glaciers as viscous fluids and how the resulting equations can be solved with the finite element method in Firedrake.
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Thursday, February 1, 202412:30PM, Warren Weaver Hall 1302
Planning meeting and Alex Mogilner Research Talk
Alex MogilnerSynopsis: