Advanced Modelling of Complex Dynamics in Multi-Solid-Fluid Systems

多固流系统中复杂动力学的高级建模

• 批准号: 2480905
• 金额: --
• 依托单位: University of Edinburgh
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2480905
• 关键词: Advanced; Modelling; Complex; Dynamics; Multi

A direct numerical simulation solver called Gerris Immersed Solid Solver (GISS) that exactly solves coupled fluid-solid motion equations and predicts 6 degree-of-freedom motion for the immersed solids was recently developed and released (https://github.com/eessmann/GISS). The numerical work was augmented by theoretical work led by Prof. Rama Govindarajan, and resulted in the discovery of a mathematical constraint explaining the tumbling motion of suspended spheroidal particles . This is important for various applications such as the design of condensation chambers and subsea oil-gas. In this project, we will extend the methodology to critically analyse multi-solid interactions within flowing systems. This cannot be done solely with GISS in its current form, as the multi-solid interactions require a highly parallelised solver. Therefore a new solid-fluid solver will be developed. This will be used to answer several crucial questions concerning multi-solid flow environments. Do solids track chaotic orbits in the presence of their neighbours? In other words "what are the hydrodynamic interactions governing the motion? How do these orbits respond to thermal changes? How do these orbits respond to varying viscosity? How do these orbits change as the shapes/density of the particles change?The ensuing data generated will be extracted using machine-learning algorithms towards developing simpler particle-interaction models. These models will help us understand how temperature gradients can alter the motion of particles. These eventually can aid in the design of better condensation chambers.

最近开发并发布了一种称为Gerris浸没固体求解器（GISS）的直接数值模拟求解器，该求解器精确地求解耦合的流体-固体运动方程并预测浸没固体的6个自由度运动（https：//github.com/eessmann/GISS）。拉马·戈文达拉扬教授领导的理论工作增强了数值计算工作，并发现了一个数学约束，解释了悬浮球形颗粒的翻滚运动。这对于冷凝室和海底油气的设计等各种应用都很重要。在这个项目中，我们将扩展的方法来批判性地分析流动系统中的多固体相互作用。这不能单独用目前形式的GISS来完成，因为多固体相互作用需要高度并行的求解器。因此，一个新的固-流求解器将被开发。这将被用来回答有关多固体流动环境的几个关键问题。固体在其邻居存在的情况下是否跟踪混沌轨道？换句话说，“控制运动的流体动力学相互作用是什么？这些轨道对热变化有何反应？这些轨道对不同的粘性有何反应？当粒子的形状/密度改变时，这些轨道是如何改变的？随后生成的数据将使用机器学习算法提取，以开发更简单的粒子相互作用模型。这些模型将帮助我们理解温度梯度如何改变粒子的运动。这些最终可以帮助设计更好的冷凝室。