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,
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.
A Nonlinear Local Entropy Viscosity Method and Its Adaptive Interface-Capturing Application in Complex Multiphase Flows
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
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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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Wang Kai , Xia Yanchen , Li Zengyao . A phase-field Lattice Boltzmann method for liquid-vapor phase change problems based on conservative Allen-Cahn equation and adaptive treegrid [J]. Computers & Fluids , 2023 , 264 : 105973 .
Xia Yanchen , Yao Bowen , Wang Kai , et al . A three-dimensional fully threaded tree adaptive mesh phase-field lattice Boltzmann method for gas–liquid phase change problems [J]. Physics of Fluids , 2023 , 35 ( 10 ): 103323 .
Xia Yanchen , Li Zengyao . An extension of the discrete unified gas-kinetic scheme to gas–liquid phase change problems [J]. Physics of Fluids , 2025 , 37 ( 7 ): 073392 .
Paula T , Adami S , Adams N A . A robust high-resolution discrete-equations method for compressible multi-phase flow with accurate interface capturing [J]. Journal of Computational Physics , 2023 , 491 : 112371 .
Yang Xiaobin , Liu Cheng , Li Jingqi , et al . Numerical study of liquid jet and shock wave induced by two-bubble collapse in open field [J]. International Journal of Multiphase Flow , 2023 , 168 : 104584 .
Yang Xiaobin , Liu Cheng , Hu Yiding , et al . Shock wave induced by the collapse of a bubble cluster with each bubble distributed randomly [J]. Ocean Engineering , 2024 , 300 : 117362 .
Wakimura H , Aoki T , Xiao Feng . A low-dissipation numerical method based on boundary variation diminishing principle for compressible gas–liquid two-phase flows with phase change on unstructured grid [J]. Physics of Fluids , 2025 , 37 : 016103 .
Stoffel T D , Viqueira-Moreira M , Brehm C , et al . Application of a diffuse interface multiphase method for high temperature and hypersonic flows with phase change [C]// AIAA AVIATION 2023 Forum . San Diego, CA and Online. AIAA , 2023 : AIAA2023-4250.
Song Jiaxi , Pan Shucheng . Numerical investigation of the Richtmyer-Meshkov instability for the vapor-liquid interface with phase change [J]. Scientia Sinica Physica , Mechanica & Astronomica, 2024 , 54 ( 10 ): 104710 .
Xiao Mingkun , Yang Guang , Huang Yonghua , et al . CryoFoam: a practical numerical framework for non-isothermal two-phase flows in cryogenic fluids with phase change [J]. International Journal of Hydrogen Energy , 2024 , 80 : 871 - 889 .
Caner J , Videcoq E , Benselama A M , et al . Simulation of a two-phase loop thermosyphon using a new interface-resolved phase change model [J]. International Journal of Heat and Mass Transfer , 2024 , 228 : 125607 .
Jin Kaiyan , Zhao Jin , Yao Guice , et al . A fully coupled multiscale phase-change model at the porous interface for transpiration cooling: coupling dynamics pore-scale networks to continuum-scale free flow [J]. International Journal of Heat and Mass Transfer , 2025 , 236 : 126396 .
Yap Y F , Li H Y , Lou J , et al . Numerical modeling of three-phase flow with phase change using the level-set method [J]. International Journal of Heat and Mass Transfer , 2017 , 115 : 730 - 740 .
Sahut G , Ghigliotti G , Balarac G , et al . Evaluation of Level Set reinitialization algorithms for phase change simulation on unstructured grids [J]. La Houille Blanche , 2020 , 106 ( 2 ): 43 - 48 .
Bureš L , Sato Y . Sharp-interface phase-change model with the VOF method [C]// Proceedings of the 5th Thermal and Fluids Engineering Conference(TFEC) , 2020 .
Yahyaee A , Bahman A S , Olesen K , et al . Level-set interface description approach for thermal phase change of nanofluids [J]. Nanomaterials , 2022 , 12 ( 13 ): 2228 .
De Gouvello Y , Dutreuilh M , Gallier S , et al . Shock wave refraction patterns at a slow-fast gas-gas interface at superknock relevant conditions [J]. Physics of Fluids , 2021 , 33 ( 11 ): 116101 .
Li Linfei , Jin Tai , Zou Liyong , et al . Numerical study of Richtmyer-Meshkov instability of a flat interface driven by perturbed and reflected shock waves [J]. Physics of Fluids , 2023 , 35 ( 2 ): 026104 .
Chen Yunkun , Huang Bin , Shi Xiaoding . Sharp interface limit for compressible Navier-Stokes/Allen-Cahn system with shock wave [J]. Communications in Mathematical Sciences , 2023 , 21 ( 6 ): 1487 - 1503 .
Thangadurai M , Kundu A , Biswas G . Numerical simulation of the interaction between a planar shock wave and a backward-facing triangular bubble containing gases with different Atwood numbers [J]. Physics of Fluids , 2024 , 36 ( 4 ): 046119 .
Alsaeed S S , Singh S . Numerical study of shock wave interaction with V-shaped heavy/light interface [J]. Mathematics , 2024 , 12 ( 19 ): 3131 .
Fleischmann N , Adami S , Adams N A . Numerical symmetry-preserving techniques for low-dissipation shock-capturing schemes [J]. Computers & Fluids , 2019 , 189 : 94 - 107 .