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An Improved Coupled Level Set and Continuous Moment-of-Fluid Method for Simulating Multiphase Flows with Phase Change

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Abstract

An improved algorithm for computing multiphase flows is presented in which the multimaterial Moment-of-Fluid (MOF) algorithm for multiphase flows, initially described by Li et al. (2015), is enhanced addressing existing MOF difficulties in computing solutions to problems in which surface tension forces are crucial for understanding salient flow mechanisms. The Continuous MOF (CMOF) method is motivated in this article. The CMOF reconstruction method inherently removes the “checkerboard instability” that persists when using the MOF method on surface tension driven multiphase (multimaterial) flows. The CMOF reconstruction algorithm is accelerated by coupling the CMOF method to the level set method and coupling the CMOF method to a decision tree machine learning (ML) algorithm. Multiphase flow examples are shown in the two-dimensional (2D), three-dimensional (3D) axisymmetric “RZ”, and 3D coordinate systems. Examples include two material and three material multiphase flows: bubble formation, the impingement of a liquid jet on a gas bubble in a cryogenic fuel tank, freezing, and liquid lens dynamics.

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Authors and Affiliations

  1. ZJUI Institute, Zhejiang University, Haining, 314400, Zhejiang, China

    Zhouteng Ye

  2. Department of Mathematics, Florida State University, Tallahassee, USA

    Cody Estebe, Mark Sussman & M. Yousuff Hussaini

  3. Department of Mechanical Engineering, Florida State University, Tallahassee, USA

    Yang Liu, Alireza Moradikazerouni & Kourosh Shoele

  4. Mechanical and Aerospace Engineering Mathworks, Natick, MA, USA

    Mehdi Vahab

  5. School of Aerospace Engineering, Tsinghua University, Beijing, 100084, China

    Zeyu Huang

  6. Department of Mechanical Engineering, University of Louisville, Louisville, USA

    Yongsheng Lian

  7. Department of Mechanical Science, Tokushima University, Tokushima, Japan

    Mitsuhiro Ohta

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  1. Zhouteng Ye
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Correspondence to Mark Sussman.

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This material is based upon work supported by the National Aeronautics and Space Administration under grant number 80NSSC20K0352.

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Ye, Z., Estebe, C., Liu, Y. et al. An Improved Coupled Level Set and Continuous Moment-of-Fluid Method for Simulating Multiphase Flows with Phase Change. Commun. Appl. Math. Comput. 6, 1034–1069 (2024). https://doi.org/10.1007/s42967-023-00286-6

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