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报告题目：Computing the finite time Lyapunov exponent for flows with uncertainties

报告人：   尤国桥，南京审计大学，教授

报告时间：2023年11月3日下午16：15

报告地点：江宁校区励学楼B219

报告摘要：We propose an Eulerian approach to compute the expected finite time Lyapunov exponent (FTLE) of uncertain flow fields. The definition extends the usual FTLE for deterministic dynamical systems. Instead of performing Monte Carlo simulations as in typical Lagrangian computations, our approach associates each initial flow particle with a probability density function (PDF) which satisfies an advection-diffusion equation known as the Fokker-Planck (FP) equation. Numerically, we incorporate Strang’s splitting scheme so that we can obtain a second-order accurate solution to the equation. To further improve the computational efficiency, we develop an adaptive approach to concentrate the computation of the FTLE near the ridge, where the so-called Lagrangian coherent structure (LCS) might exist. We will apply our proposed algorithm to several test examples including a real-life dataset to demonstrate the performance of the method.

报告人简介：尤国桥，南京审计大学博彩网 教授、应用数学系主任，江苏省计算数学分会常务理事，江苏省工业与应用数学学会理事。入选江苏省高校“青蓝工程”优秀青年骨干教师、江苏省“双创博士”，获得第三届南京审计大学“青年五四奖章”。主要研究方向为复杂问题的可计算建模与数值模拟、流场可视化。主要研究结果发表在SIAM J. Sci. Comput.、J. Comput. Phys.、 J. Sci. Comput.等计算数学领域国际知名期刊上。主持国家自然科学基金面上项目和青年项目、江苏省自然科学基金面上项目和青年项目等课题。