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.

沉浸式界面方法采用固定的网格和相关的快速求解器来有效地求解涉及接口的各种PDE。它通过将接口诱导的跳跃条件结合到数值方案中来准确捕获接口的效果。这项研究的主要目的是增强这种方法解决3D大尺寸多尺度流问题的鲁棒性。 PI提出：（1）用三角形的网格表示3-D流体 - 固定界面的三角形网状表示和实施跳跃条件流体 - 固体相互作用和两流体流的方法。 PI和他的学生采用增强方法来研究昆虫飞行中落入流体和空气动力控制策略的固体颗粒集合的动态。拟议的研究是推动计算方法，浸入式界面方法，以便它可以用于计算各种有趣且重要的3-D流量问题，这些问题是大小和多个尺度的大小和多个尺度。特别是，PI和他的学生采用这种方法来研究液体中落入液体和昆虫飞行中空气动力控制策略的固体颗粒集合的动力学。广泛的生物和物理系统涉及对象的集体动力学，例如学校，微生物菌落以及颗粒悬浮和沉降。在这一领域的拟议研究将有助于理解，建模和设计此类系统。有翼的昆虫是大自然对完美的小型飞行机的答案。了解昆虫空气动力学对于设计吹翼的微型空气车的工程师非常感兴趣，该车辆可用于军事监视，生物战检测和在密闭空间中的侦察。 PI计划在其网页上传播一个用户友好的软件以及有关沉浸式接口方法的相关教程，以使希望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支持不足的研究生的支持以及本科生参与计算研究。