High performance numerical methods for moving interface problems and uncertainty analysis

用于移动界面问题和不确定性分析的高性能数值方法

• 批准号: 132923-2011
• 负责人: Soulaïmani, Azzeddine
• 金额: $ 1.68万
• 依托单位: École de technologie supérieure
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=569285
• 关键词: performance; numerical; methods; moving; interface

Numerical methods and computing technologies play an important part of almost all scientific research at universities and in industry. In many areas, computer simulations have complemented or even replaced experiments. Most engineering science is based on the principles of mechanics, and computational mechanics tools are routinely used in engineering practice; such us for the design of aircraft and propulsion systems or for the design of dams and bridges. The applicant heads a research group at the Ecole de technologie superieure that develops computational methods and their corresponding software to solve various complex engineering problems, such as flows resulting from a dam break inundation or a flow around a flexible aircraft wing. The proposed research program concerns the development of advanced numerical methods and software to accurately and efficiently solve flow and solid problems where there is a moving interface, such as an interface separating the liquid and air phases (as in natural free-surface flows or in a lubrication aero-system), or a crack propagating in a concrete dam. Moving interface problems also occur when a structure is surrounded by a flow. As computational methods and computers become more powerful to solve a large class of deterministic problems there is increasing interest in developing methods to quantify uncertainties in engineering predictions. Another topic of this proposal is the development of techniques to analyze uncertainty propagation in numerical models caused by uncertain data. These could then be used to perform sensitivity and reliability analyses to help make better risk-based decisions.

数值方法和计算技术在大学和工业中几乎所有的科学研究中都扮演着重要的角色。在许多领域，计算机模拟已经补充甚至取代了实验。大多数工程科学是以力学原理为基础的，计算力学工具在工程实践中经常被使用；例如，我们用于飞机和推进系统的设计或大坝和桥梁的设计。申请者领导着高等理工学院的一个研究小组，该小组开发计算方法及其相应的软件，以解决各种复杂的工程问题，如溃坝洪水引起的流动或柔性机翼周围的流动。拟议的研究计划涉及开发先进的数值方法和软件，以准确和有效地解决流动和固体问题，其中存在运动界面，例如液-气相分离的界面(如在自然自由表面流动中或在润滑空气系统中)，或混凝土坝中裂缝的扩展。当结构被流动包围时，也会出现移动界面问题。随着计算方法和计算机在解决一大类确定性问题上变得越来越强大，人们对开发量化工程预测中的不确定性的方法越来越感兴趣。这项提议的另一个主题是开发技术来分析由不确定数据引起的数值模型中的不确定性传播。然后，这些数据可用于执行敏感性和可靠性分析，以帮助做出更好的基于风险的决策。