A generalised Fully Lagrangian Approach for gas-droplet flows

拟议的项目是基于数学和工程方法的合成来模拟气体液滴流。它包括一个新的数学形式主义的发展，然后将被应用到增强现有的方法来模拟两相流。这将使更高分辨率的模拟成为可能：更精确的计算，更多的物理现象将被捕获。该项目将专注于Osiptsov教授开发的喷雾建模数学方法的非平凡推广，称为完全拉格朗日方法（弗拉）。在数学建模界，这种方法被认为是计算颗粒/液滴浓度的一种有前途的方法。然而，它目前的应用仅限于简单的流动稀释单一尺寸的混合物。在该项目的框架内，液滴蒸发，混合物的多分散性，以及液滴对载体相的影响（双向耦合）将被考虑并纳入模型。相应的数学模型将在计算流体动力学（CFD）软件OpenFOAM中实现。该模型将用于模拟直喷式内燃机（柴油机和汽油机）喷雾中液滴分布的演变过程。数值模拟的结果将根据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是一个开源且广泛使用的CFD软件，它将使对喷雾感兴趣的专家可以访问项目结果。

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.