A generalised Fully Lagrangian Approach for gas-droplet flows

拟议的项目是基于综合数学和工程方法来模拟气滴流动。它包括一种新的数学形式的发展，然后将被应用于增强现有的两相流动模拟方法。它将使进行更高分辨率的模拟成为可能：更准确的计算，更多的物理现象。该项目将专注于对奥西普佐夫教授开发的喷雾建模数学方法的非平凡概括，即众所周知的完全拉格朗日方法(FLA)。在数学模型界，这种方法被认为是一种很有前途的计算颗粒/液滴浓度的方法。然而，目前它的应用仅限于含有单一尺寸稀释剂的简单流动。在该项目的框架内，将考虑液滴蒸发、混合剂的多分散性以及液滴对载流相的影响(双向耦合)，并将其纳入模型。相应的数学模型将在计算流体动力学(CFD)软件OpenFOAM中实现。所开发的模型将用于模拟直喷式内燃机(柴油和汽油)喷雾中液滴分布的演变。数值模拟的结果将与布莱顿大学高级工程中心的同事提供的实验数据进行验证。OpenFOAM是一款开源的广泛使用的CFD软件，它将使对喷雾感兴趣的专家能够访问项目成果。

The proposed project is based on the synthesis of mathematical and engineering approaches to simulate gas-droplet flows. It comprises the development of a new mathematical formalism, which will then be applied to enhance an existing approach to simulate two-phase flows. It will make it possible to perform simulations with higher resolution: more accurate calculations, and more physical phenomena will be captured.The project will focus on non-trivial generalisation of the mathematical approach to spray modelling developed by Professor Osiptsov, known as the Fully Lagrangian Approach (FLA). In the mathematical modelling community, this method is known as a promising approach to calculate particle/droplet concentrations. However, its current applications are restricted to simplistic flows with dilute mono-sized admixture. In the framework of the project, droplet evaporation, polydispersity of admixture, and the effect of droplets on the carrier phase (two-way coupling) will be taken into account and incorporated in the model. The corresponding mathematical model will be implemented in the Computational Fluid Dynamics (CFD) software OpenFOAM. The developed model will be applied to simulate the evolution of droplet distribution in sprays formed in direct-injection internal combustion (Diesel and gasoline) engines. The results of numerical simulations will be validated against experimental data provided by colleagues in the Advanced Engineering Centre, University of Brighton. OpenFOAM is an open-source and widely used CFD software, which will make the project outcomes accessible to specialists interested in sprays.