Tools for the investigation of stochastic multiphysics models

用于研究随机多物理场模型的工具

基本信息

  • 批准号:
    RGPIN-2020-04654
  • 负责人:
  • 金额:
    $ 2.7万
  • 依托单位:
  • 依托单位国家:
    加拿大
  • 项目类别:
    Discovery Grants Program - Individual
  • 财政年份:
    2022
  • 资助国家:
    加拿大
  • 起止时间:
    2022-01-01 至 2023-12-31
  • 项目状态:
    已结题

项目摘要

Modern society is affected in myriad ways by the behavior of complex physical systems involving the interaction of multiple physical processes acting through a range of scales. The impact of hurricanes on coasts, pollution flow in porous media, and radiation damage in uranium fuel rods are just a few of many examples. A characteristic of complex systems is that it is possible to observe certain aspects of behavior at some scales experimentally and to construct well-validated process models of some component behavior at some scales, but we cannot directly observe or model all important behaviors and interactions. Thus, the study of complex systems faces significant challenges that require, at a minimum, integrating all available data and models. The long-term goal of the proposed project is to develop powerful computational and statistical tools to explore the behavior of complex multiphysics systems, predict their behavior, and quantify uncertainties in the results. This involves describing the variation in the behavior of the system as physical conditions change over a wide range. Because the conditions are often unknown, or poorly quantified, we describe the variations using probability. We also tackle the reverse problem, which is to determine the probability of various physical conditions of a complex system based on observations of its behavior. The research scope includes development of computational methods, theoretical analysis, and software development. The research is strongly interdisciplinary because the research questions arise directly from the study of complex physical systems of importance for science and engineering. The project will pursue applications in tidal and storm surges along coastlines, the flow of pollution through the ground, and the detection of properties and geometries of an object based on observing scattering of electromagnetic radiation. The project will support the training of highly qualified personnel and publicly available software that will make the research results accessible to scientists and engineers. The research will also lead to significant advances in the fields of mathematics and statistics.
现代社会受到复杂物理系统行为的无数影响,这些系统涉及通过一系列尺度作用的多个物理过程的相互作用。飓风对海岸的影响,多孔介质中的污染流,以及铀燃料棒的辐射破坏只是许多例子中的几个。复杂系统的一个特点是,可以通过实验观察某些尺度下的行为的某些方面,并在某些尺度下构建一些组件行为的经过充分验证的过程模型,但我们无法直接观察或建模所有重要的行为和交互。因此,复杂系统的研究面临着重大挑战,至少需要整合所有可用的数据和模型。该项目的长期目标是开发强大的计算和统计工具,以探索复杂多物理场系统的行为,预测其行为,并量化结果中的不确定性。这涉及到描述物理条件在很大范围内变化时系统行为的变化。由于条件往往是未知的,或难以量化,我们用概率来描述变化。我们还解决了反向问题,即根据对其行为的观察来确定复杂系统的各种物理条件的概率。研究范围包括计算方法的开发,理论分析和软件开发。 该研究具有很强的跨学科性,因为研究问题直接来自于对科学和工程具有重要意义的复杂物理系统的研究。该项目将致力于应用于沿着的潮汐和风暴潮、污染物通过地面的流动,以及根据对电磁辐射散射的观测来探测物体的特性和几何形状。 该项目将支持培训高素质的人员和公开提供的软件,使科学家和工程师能够获得研究成果。这项研究还将导致数学和统计学领域的重大进展。

项目成果

期刊论文数量(0)
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Estep, Donald其他文献

Nonparametric density estimation for randomly perturbed elliptic problems III: convergence, computational cost, and generalizations
Error estimation and uncertainty quantification for first time to a threshold value
首次达到阈值的误差估计和不确定性量化
  • DOI:
    10.1007/s10543-020-00825-0
  • 发表时间:
    2021
  • 期刊:
  • 影响因子:
    1.5
  • 作者:
    Chaudhry, Jehanzeb H.;Estep, Donald;Stevens, Zachary;Tavener, Simon J.
  • 通讯作者:
    Tavener, Simon J.
Efficient Distribution Estimation and Uncertainty Quantification for Elliptic Problems on Domains with Stochastic Boundaries
随机边界域上椭圆问题的高效分布估计和不确定性量化

Estep, Donald的其他文献

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{{ truncateString('Estep, Donald', 18)}}的其他基金

Computational Probability and Uncertainty Quantification
计算概率和不确定性量化
  • 批准号:
    CRC-2019-00101
  • 财政年份:
    2022
  • 资助金额:
    $ 2.7万
  • 项目类别:
    Canada Research Chairs
Computational Probability And Uncertainty Quantification
计算概率和不确定性量化
  • 批准号:
    CRC-2019-00101
  • 财政年份:
    2021
  • 资助金额:
    $ 2.7万
  • 项目类别:
    Canada Research Chairs
Canadian Statistical Sciences Institute DIS Bridge Funding Proposal
加拿大统计科学研究所 DIS Bridge 资助提案
  • 批准号:
    560560-2021
  • 财政年份:
    2021
  • 资助金额:
    $ 2.7万
  • 项目类别:
    Discovery Institutes Support Grants Bridge Funding Opportunity
Tools for the investigation of stochastic multiphysics models
用于研究随机多物理场模型的工具
  • 批准号:
    RGPIN-2020-04654
  • 财政年份:
    2021
  • 资助金额:
    $ 2.7万
  • 项目类别:
    Discovery Grants Program - Individual
Computational Probability and Uncertainty Quantification
计算概率和不确定性量化
  • 批准号:
    CRC-2019-00101
  • 财政年份:
    2020
  • 资助金额:
    $ 2.7万
  • 项目类别:
    Canada Research Chairs
Tools for the investigation of stochastic multiphysics models
用于研究随机多物理场模型的工具
  • 批准号:
    RGPIN-2020-04654
  • 财政年份:
    2020
  • 资助金额:
    $ 2.7万
  • 项目类别:
    Discovery Grants Program - Individual

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