Enhancing the robustness of the immersed interface method for flow simulation

增强流动模拟的浸入界面方法的鲁棒性

• 批准号: 1320317
• 负责人: Sheng Xu
• 金额: $ 19.42万
• 依托单位: Southern Methodist University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-08-15 至 2017-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1320317&HistoricalAwards=false
• 关键词: Enhancing; robustness; immersed; interface; method

The immersed interface method employs fixed grids and associated fast solvers to efficiently solve a variety of PDEs involving interfaces. It accurately captures the effects of interfaces by incorporating interface-induced jump conditions into numerical schemes. The main objective of this research is to enhance the robustness of this method to tackle 3-D large-size multi-scale flow problems. The PI proposes: (1) to derive and implement jump conditions for the method with a triangular mesh representation of a 3-D fluid-solid interface, (2) to handle solid collisions in a flow by incorporating into the method the lubrication theory, (3) to extend boundary condition capturing in the method from rigid solids to deformable solids, and (4) to use the domain decomposition and master-slave techniques for distributed-memory parallelization of the method for fluid-solid interaction and two-fluid flows. The PI and his students apply the enhanced method to investigate the dynamics of a collection of solid particles falling in a fluid and the aerodynamic control strategies in insect flight.The proposed research is to push a computational method, the immersed interface method, so that it can be used to compute various interesting and important 3-D flow problems that are of large sizes and multiple scales. In particular, the PI and his students apply the method to study the dynamics of a collection of solid particles falling in a fluid and the aerodynamic control strategies in insect flight. A wide range of biological and physical systems involve the collective dynamics of objects, for example, schooling, microorganism colony, and particle suspension and sedimentation. The proposed study in this area will help understand, model, and design such systems. Winged insects are nature's answer to perfect small-scale flying machines. Understanding insect aerodynamics is of great interest to engineers in designing flapping-wing micro air vehicles, which can be employed in military surveillance, biological warfare detection, and reconnaissance in confined spaces. The PI plans to disseminate on his web page a user-friendly software and the associated tutorials on the immersed interface method to benefit undergraduate and graduate students who want to use the method for their research. Other educational impact of this research includes the support of an under-represented graduate student and the involvement of undergraduate students in computational research.

浸入式界面方法采用固定网格和相关的快速求解器来有效求解涉及界面的各种偏微分方程。它通过将界面引起的跳跃条件纳入数值方案来准确捕获界面的影响。本研究的主要目的是增强该方法处理 3D 大尺寸多尺度流动问题的鲁棒性。 PI 建议：(1) 使用 3-D 流体-固体界面的三角形网格表示来推导并实现该方法的跳跃条件，(2) 通过将润滑理论纳入该方法来处理流动中的固体碰撞， (3)将该方法中的边界条件捕获从刚性固体扩展到可变形固体，以及(4)使用域分解和主从技术来实现流固相互作用和二流体流动方法的分布式内存并行化。 PI和他的学生应用增强方法来研究落入流体中的一组固体颗粒的动力学以及昆虫飞行中的空气动力控制策略。本次研究的目的是推广一种计算方法，即浸入界面法，使其能够可用于计算各种有趣且重要的大尺寸和多尺度的 3D 流动问题。特别是，PI 和他的学生应用该方法来研究落在流体中的一组固体颗粒的动力学以及昆虫飞行中的空气动力学控制策略。广泛的生物和物理系统涉及物体的集体动力学，例如学校教育、微生物菌落以及颗粒悬浮和沉降。该领域拟议的研究将有助于理解、建模和设计此类系统。有翅昆虫是大自然对完美小型飞行器的回答。了解昆虫空气动力学对于设计扑翼微型飞行器的工程师非常感兴趣，这种飞行器可用于军事监视、生物战探测和密闭空间侦察。 PI 计划在他的网页上传播一个用户友好的软件以及有关沉浸式界面方法的相关教程，以使想要使用该方法进行研究的本科生和研究生受益。这项研究的其他教育影响包括对代表性不足的研究生的支持以及本科生参与计算研究。