New instability and mixing simulations using SPH and a novel mixing measure

作     者：Georgina Reece Benedict D.Rogers Steven Lind Georgios Fourtakas Georgina Reece;Benedict D.Rogers;Steven Lind;Georgios Fourtakas

作者机构：Department of MechanicalAerospace and Civil EngineeringUniversityof ManchesterManchesterUK 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2020年第32卷第4期

页      面：684-698页

核心收录：

学科分类：08[工学] 080103[工学-流体力学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Supported by the EPSRC and National Nuclear Laboratory(Grant No.1961431). 

主　　题：Smoothed particle hydrodynamics(SPH) multi-phase mixing instability 

摘      要：This paper assesses the ability of smoothed particle hydrodynamics (SPH) to simulate mixing of two-phase flows and theirtransition to instabilities under different flow regimes. A new measure for quantification of the degree of mixing between phases in aLagrangian framework is also developed. The method is validated using the lid-driven cavity and two-phase Poiseuille flow cases. Thevelocity along the centre of the cavity is compared with results from the literature, whilst commercial volume-of-fluid codeSTAR-CCM+ provides a benchmark for the mixing and different mixing measures are considered. The velocity of two-phase Poiseuilleflow along the channel is compared to the analytical solution, and the appearance of interfacial instabilities with perturbation theory.This is the first time SPH has been used to investigate the onset and development of these instabilities. In particular, it is able to modelthe deforming shape of the interface, which is not given by analytical studies, while also offering improved predictions overconventional mesh-based computational fluid dynamics simulations.