Non-singular boundary integral methods for fluid mechanics applications

流体力学中的多重解

Multiple Solutions in Fluid Mechanics

本文所讨论的纳维-斯托克斯方程的多解原理并不针对流体动力学中的任何特定问题，也不针对任何特定的应用。非唯一性原理指出，雷诺数在其临界值以上，不足以唯一地确定给定几何形状或类似几何形状的流场。它是所有流体流动及其传输特性的通用原理，但尚未得到很好的理解。它补充了目前流行的分歧理论的事实，多个解决方案可以存在于每个稳定的分歧分支。

Deep Reinforcement Learning in Fluid Mechanics: a promising method for both Active Flow Control and Shape Optimization

In recent years, Artificial Neural Networks (ANNs) and Deep Learning have become increasingly popular across a wide range of scientific and technical fields, including Fluid Mechanics. While it will take time to fully grasp the potentialities as well as the limitations of these methods, evidence is starting to accumulate that point to their potential in helping solve problems for which no theoretically optimal solution method is known. This is particularly true in Fluid Mechanics, where problems involving optimal control and optimal design are involved. Indeed, such problems are famously diffi…

On primitive formulation in fluid mechanics and fluid-structure interaction with constant piecewise properties in velocity-potentials of acceleration

Discrete mechanics makes it possible to formulate any problem of fluid mechanics or fluid-structure interaction in velocity and potentials of acceleration; the equation system consists of a single vector equation and potentials updates. The scalar potential of the acceleration represents the pressure stress and the vector potential is related to the rotational-shear stress. The formulation of the equation of motion can be expressed in the form of a splitting which leads to an exact projection method; the application of the divergence operator to the discrete motion equation exhibits, without a…

Multiscale Approach to Fluid-Solid Interfaces: An overview of methodologies coupling fluid mechanics to molecular dynamics and quantum theory

In conventional fluid mechanics, the chemical composition and thermodynamic state of a fluid-solid interface are not considered when establishing velocity-field boundary conditions. As a consequence, fluid simulations are usually not able to generate different outputs when interfacial materials are varied. By considering an atomistic description of matter, theoretical determination of material-specific boundary conditions becomes possible, thereby providing an improved alternative to the completely-invariant no-slip condition. Such a scheme constitutes a multiscale approach to fluid dynamics i…

面向流体力学的深度强化学习综述

A review on Deep Reinforcement Learning for Fluid Mechanics

本文综述了深度强化学习（DRL）在流体力学领域的现有应用，梳理耦合方法的优劣、与经典方法的对比及测试案例进展，为相关研究者提供参考。

一种用于固体力学和固-流相互作用模拟的开源有限体积工具箱

An open-source finite volume toolbox for solid mechanics and fluid-solid interaction simulations

本文介绍了一个基于OpenFOAM的开源工具箱，用于固体力学和固-流相互作用模拟，强调了面向对象设计、代码使用与维护，并通过典型测试问题验证了其能力。