报告题目：Predictability and Uncertainty in Large-Scale Simulations
报 告 人： George Em Karniadakis
The Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics, Brown University; also at MIT & PNNL
报告时间🐆🚴🏻： 2013年11月27日下午3:30
报告地点：热能系报告厅
主办单位：热能系
报告简介🕘：在流体力学、固体力学及分子动力学模拟中，存在很多不确定源，例如边界条件🏛、材料性质、状态及本构方程的相关条件等。这些不确定性会引起计算中的误差，这些误差通常远远超过由时🏃🏻、空离散引起的误差，造成对动力学和外特性的错误预估。
在此报告中，我们将给出一些这样的流体力学以及跨学科实例🤿，并讨论通过不同概率、确定性数值手段来量化这样的不确定性👋🏿。这样的随机数值模拟在验证试验结果的同时，也能对如何更有效地进行试验观测给出指导🤽♀️。
In many simulations in fluid and solid mechanics but also in molecular simulations there are many sources of uncertainty, e.g., associated with boundary conditions, material properties or equations of state and constitutive laws. These uncertainties may contribute to large errors in the simulation, typically much larger than the spatio-temporal discretization errors, leading to erroneous dynamics or performance predictions.
In this talk, we will present several such examples from fluid mechanics but also across various disciplines and subsequently we will discuss different probabilistic and deterministic numerical approaches to quantify the effect of such uncertainties. Such stochastic simulations also serve for a better validation with the experiments but also through sensitivity analysis they can steer the experimental effort to a more effective sets of measurements.
报告人简介：George Karniadakis received his S.M. (1984) and Ph.D. (1987) from Massachusetts Institute of Technology and did his postdoc at the Center for Turbulence Research at Stanford /Nasa Ames. He is a Fellow of the Society for Industrial and Applied Mathematics (SIAM, 2010-), Fellow of the American Physical Society (APS, 2004-), Fellow of the American Society of Mechanical Engineers (ASME, 2003-) and Associate Fellow of the American Institute of Aeronautics and Astronautics (AIAA, 2006-). He received the CFD award (2007) and the J Tinsley Oden Medal (2013) by the US Association in Computational Mechanics. Karniadakis is the lead PI of an OSD/AFOSR MURI on Uncertainty Quantification and Director of a new DOE Center of Mathematics for Mesoscale Modeling of Materials (CM4).
