ABSTRACT

This paper reports the results of a numerical study on the dynamics of isothermal multiphase fluids using an energy-law-preserving method. A phase-field model is taken into account. Different to previous studies, a continuous finite element technique is used to simulate the Navier-Stokes-Cahn-Hilliard coupled model. A modified discrete energy law of the numerical simulation is derived in detail. A penalty formulation is applied for continuous conditions to ensure the stability of the pressure. The coalescence of two kissing bubbles and the rising of a lighter drop are simulated as numerical examples, and the estimated orders of the velocity gradient are computed to examine the accuracy of the numerical solution. The paper shows that in the computing process the energy law is preserved for each time step and that the errors in the discrete energy law equal less than 10⁻⁸.

摘要

本文报告了采用能量守恒法对等温多相流体动力学进行数值研究的结果。考虑了相场模型。与以前的研究不同，连续有限元技术用于模拟Navier-Stokes-Cahn-Hilliard耦合模型。详细推导了数值模拟的修正离散能量定律。惩罚公式适用于连续条件，以确保压力的稳定性。以两个接吻气泡的聚结和较轻的液滴的上升为例进行了数值模拟，并计算了速度梯度的估计阶次以检验数值解的准确性。^-8。