TY - JOUR
T1 - A consistent adaptive level set framework for incompressible two-phase flows with high density ratios and high Reynolds numbers
AU - Zeng, Yadong
AU - Liu, Han
AU - Gao, Qiang
AU - Almgren, Ann
AU - Bhalla, Amneet Pal Singh
AU - Shen, Lian
N1 - Publisher Copyright:
© 2023 Elsevier Inc.
PY - 2023/4/1
Y1 - 2023/4/1
N2 - We develop a consistent adaptive framework in a multilevel collocated grid layout for simulating two-phase flows with adaptive mesh refinement (AMR). The conservative momentum equations and the mass equation are solved in the present consistent framework. This consistent mass and momentum transport treatment greatly improves the accuracy and robustness for simulating two-phase flows with a high density ratio and high Reynolds number. The interface capturing level set method is coupled with the conservative form of the Navier–Stokes equations, and the multilevel reinitialization technique is applied for mass conservation. This adaptive framework allows us to advance all variables level by level using either the subcycling or the non-subcycling method to decouple the data advancement on each level. The accuracy and robustness of the framework are validated by a variety of canonical two-phase flow problems. We demonstrate that the consistent scheme results in a numerically stable solution in flows with high density ratios (up to 106) and high Reynolds numbers (up to 106), while the inconsistent scheme exhibits nonphysical fluid behaviors in these tests. Furthermore, it is shown that the subcycling and non-subcycling methods provide consistent results and that both of them can accurately resolve the interfaces of the two-phase flows with surface tension effects. Finally, a 3D breaking wave problem is simulated to show the efficiency and significant speedup of the proposed framework using AMR.
AB - We develop a consistent adaptive framework in a multilevel collocated grid layout for simulating two-phase flows with adaptive mesh refinement (AMR). The conservative momentum equations and the mass equation are solved in the present consistent framework. This consistent mass and momentum transport treatment greatly improves the accuracy and robustness for simulating two-phase flows with a high density ratio and high Reynolds number. The interface capturing level set method is coupled with the conservative form of the Navier–Stokes equations, and the multilevel reinitialization technique is applied for mass conservation. This adaptive framework allows us to advance all variables level by level using either the subcycling or the non-subcycling method to decouple the data advancement on each level. The accuracy and robustness of the framework are validated by a variety of canonical two-phase flow problems. We demonstrate that the consistent scheme results in a numerically stable solution in flows with high density ratios (up to 106) and high Reynolds numbers (up to 106), while the inconsistent scheme exhibits nonphysical fluid behaviors in these tests. Furthermore, it is shown that the subcycling and non-subcycling methods provide consistent results and that both of them can accurately resolve the interfaces of the two-phase flows with surface tension effects. Finally, a 3D breaking wave problem is simulated to show the efficiency and significant speedup of the proposed framework using AMR.
KW - Adaptive mesh refinement (AMR)
KW - Consistent transport
KW - High density ratio/High Reynolds number
KW - Level set
KW - Subcycling/Non-subcycling
KW - Two-phase flow
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U2 - 10.1016/j.jcp.2023.111971
DO - 10.1016/j.jcp.2023.111971
M3 - Article
AN - SCOPUS:85147245715
SN - 0021-9991
VL - 478
JO - Journal of Computational Physics
JF - Journal of Computational Physics
M1 - 111971
ER -