An exactly force-balanced boundary-conforming arbitrary-Lagrangian-Eulerian method for interfacial dynamics

JOURNAL OF COMPUTATIONAL PHYSICS

卷:408

Article

Cheng, Zekang^1,2  Li, Jie^1,2  Loh, Ching Y.³  Luo, Li-Shi^3,4 

[1] Univ Cambridge, Dept Engn, Trumpington St, Cambridge CB2 1PZ, England

[2] Univ Cambridge, BP Inst, Madingley Rd, Cambridge CB3 0EZ, England

[3] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China

[4] Old Dominion Univ, Dept Math & Stat, Norfolk, VA 23529 USA

关键词: Boundary conforming method;    ALE;    Adaptive moving mesh;    Fluid-fluid interface;    Multiphase flows;    Spurious current;   

DOI  :  10.1016/j.jcp.2020.109237

来源: Elsevier

【 摘 要 】

We present an interface conforming method for simulating two-dimensional and axisym-metric multiphase flows. In the proposed method, the interface is composed of straight segments which are part of mesh and move with the flow. This interface representation is an integral part of an Arbitrary Lagrangian-Eulerian (ALE) method on an moving adaptive unstructured mesh. Our principal aim is to develop an accurate and robust computational method for interfacial flows driven by strong surface tension and with weak viscous dissipation. We first construct discrete solutions satisfying the Laplace law on a circular/spherical interfaces exactly, i.e., the balance between the surface tension and the pressure jump across an interface is achieved exactly in a discrete form. The accuracy and stability of these solutions are then investigated for a wide range of Ohnesorge numbers, Oh. The dimensionless amplitude of the spurious current is reduced to machine zero, i.e., on the order of 10(-15) for Oh >= 10(-3). Finally, the accuracy and capability of the proposed method are demonstrated through a series of benchmark tests with larger interface deformations. In particular, the method is validated with Prosperitti's analytic results of the bubble/drop oscillations and Peregrine's dripping faucet experiment, in which the values of Oh are small. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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