A Nonlinear Local Entropy Viscosity Method and Its Adaptive Interface-Capturing Application in Complex Multiphase Flows

Guan Jiajia; Cui Ce; Yin Xiang; Zhuo Ya; Cao Feng

doi:10.12465/issn.0253-4339.20260106002

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A Nonlinear Local Entropy Viscosity Method and Its Adaptive Interface-Capturing Application in Complex Multiphase Flows

更新时间：2026-05-06

- A Nonlinear Local Entropy Viscosity Method and Its Adaptive Interface-Capturing Application in Complex Multiphase Flows
- Journal of Refrigeration Pages: 1-12(2026)
- 作者机构：
  
  1.西安交通大学压缩机工程系压缩机与制冷实验室西安 710049
  2. 华商国际工程有限公司北京 100071
- 作者简介：
- 基金信息：
  
  Fellowship Program of CPSF(GZC20241346)
- DOI：10.12465/issn.0253-4339.20260106002
  CLC： TH45;O359;TK121
- Received：06 January 2026，
  
  Revised：2026-01-14，
  
  Accepted：16 January 2026，
  
  Online First：06 May 2026，
- 稿件说明：
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管佳佳,崔策,殷翔等.非线性局部熵黏性算法及其在复杂多相流动中的自适应界面捕捉研究[J].制冷学报,

Guan Jiajia,Cui Ce,Yin Xiang,et al.A Nonlinear Local Entropy Viscosity Method and Its Adaptive Interface-Capturing Application in Complex Multiphase Flows[J].Journal of Refrigeration,
管佳佳,崔策,殷翔等.非线性局部熵黏性算法及其在复杂多相流动中的自适应界面捕捉研究[J].制冷学报, DOI：10.12465/issn.0253-4339.20260106002.

Guan Jiajia,Cui Ce,Yin Xiang,et al.A Nonlinear Local Entropy Viscosity Method and Its Adaptive Interface-Capturing Application in Complex Multiphase Flows[J].Journal of Refrigeration, DOI：10.12465/issn.0253-4339.20260106002.

摘要

针对可压缩多相流中激波、接触间断与相界面共存场景下数值计算稳定性与精度难以兼顾的问题，提出一种非线性局部熵黏性相界面自适应捕捉算法。该算法通过构建融入相界面物理特性的广义熵函数，并结合多通道间断感知机制，实现了对激波、接触间断及相界面的统一识别与分类处理。算法进一步引入非线性局部熵黏性自适应分配策略，配合定向界面压缩、能量相容的表面张力‑相变耦合模型以及动态自适应调参技术，在维持

计算稳健性的同时显著提升界面分辨能力。以跨临界CO

引射器内部流动为代表算例，开展了包含相变、激波/相界面相互作用和非平衡热力学过程的数值模拟。结果表明，本算法能清晰捕捉多尺度流动结构，界面厚度维持在2~3个网格内，质量与能量守恒误差低于1%，在强梯度、多物理耦合的复杂多相流场中表现出优越的精度与可靠性，为工程实际中的多相流模拟提供了具有普适性的高分辨率数值工具。

Abstract

Accurately balancing numerical stability and resolution remains a major challenge in compressible multiphase flows where shocks， contact discontinuities， and phase interfaces coexist. To address this issue， a nonlinear local entropy-viscosity-based adaptive interface-capturing algorithm is proposed. By constructing a generalized entropy function that incorporates the physical characteristics of phase interfaces and coupling it with a multi-channel discontinuity sensing mechanism， the proposed method achieves unified identification and classification of shocks， contact discontinuities， and phase interfaces. Furthermore， a nonlinear adaptive allocation strategy of local entropy viscosity is introduced， in conjunction with directional interface compression， an energy-consistent surface tension-phase change coupling model， and a dynamic adaptive parameter adjustment technique. This framework significantly enhances interface resolution while maintaining numerical robustness. A transcritical CO

ejector flow is selected as a representative test case， in which numerical simulations involving phase change， shock/interface interactions， and nonequilibrium thermodynamic processes are performed. The results demonstrate that the proposed algorithm can clearly capture multiscale flow structures， with the interface thickness consistently maintained within 2-3 grid cells. The mass and energy conservation errors are both below 1%， indicating superior accuracy and reliability in complex multiphase flow fields characterized by strong gradients and multi-physics coupling. The proposed method therefore provides a generally applicable high-resolution numerical tool for multiphase flow simulations in practical engineering applications.

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references

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