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Comparative study of two corrective gradient models in the simulation of multiphase flows using moving particle semi‐implicit method
Author(s) -
Liu Xiaoxing,
Morita Koji,
Zhang Shuai
Publication year - 2020
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4796
Subject(s) - multiphase flow , consistency (knowledge bases) , mechanics , particle (ecology) , particle method , flow (mathematics) , stability (learning theory) , computer simulation , statistical physics , mathematics , computer science , geology , physics , geometry , mathematical analysis , oceanography , machine learning , boundary value problem
Summary In this study, two corrective gradient models (CGMs) are compared in the simulation of multiphase flows. Linear consistency of the gradient model of moving particle semi‐implicit (MPS) method has been recovered by introducing corrective matrix. However, it is found that particles tend to disperse along the streamline while using the CGM proposed in a previous study. Particle shifting (PS) schemes are necessary to reduce the irregularity of particle distribution to stabilize the calculation. To enhance the accuracy and stability, another CGM with dummy particle (CGMD) was proposed in our previous study. This enhanced CGM is featured by linear consistency and purely repulsive pressure gradient force. In this study, this enhanced CGM is modified and applied to multiphase flow simulation. Comparative study suggests that the modified CGM with PS scheme is capable of calculating various multiphase flows and predicting the interface evolution both clearly and accurately.