| 2D conservative sharp interface method for compressible three-phase flows: Ternary fluid flows and interaction of two-phase flows with solid | |
| Li, ZhuJun1; Ren, Yi1; Shen, Yi2; Ding, Hang1,3 | |
| Corresponding Author | Ding, Hang(hding@ustc.edu.cn) |
| Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 2025-10-01 | |
| Volume | 538Pages:21 |
| ISSN | 0021-9991 |
| Abstract | In this article, we propose a 2D conservative sharp interface method to simulate compressible three-phase flows that encompasses both ternary fluid flows and two-phase flows involving complex solid geometries. The evolution of the fluid-fluid interfaces and the geometry of the solid objects are tracked by a regional level-set function, and are repeatedly reconstructed on a background Cartesian mesh using line segments at each time step. To achieve a high resolution of the interfaces, we identify triple points where the ternary fluids meet or where the interface intersects with solid walls during the reconstruction process. Additionally, by exploiting the symmetry and rotational symmetry of fluid (and solid) positions within a cut cell (i.e., a Cartesian cell containing at least two phases), we reduce the configurations of the cut cells from 96 to 6 basic ones for two-dimensional simulations. Special treatment is also implemented for the cell assembly process in the vicinity of triple points. To ensure a unified approach to boundary conditions, we first identify the specific properties of the reconstructed interfaces, and subsequently enforce appropriate boundary conditions (i.e., jump conditions for interfaces and no-penetration conditions for solid walls) through the solution of a local 1D Riemann problem along the direction normal to the corresponding reconstructed interface. We employ a second-order finite volume method within the arbitrary Lagrange-Eulerian framework to discretize the Euler equations, thereby ensuring that the conservation of mass, momentum, and energy is maintained during the flow computation. The accuracy and robustness of the method are evaluated through numerous numerical experiments, including the compressible triple point problem, the interaction between a shock wave and a multi-medium bubble, high-speed droplet impingement on curved surfaces, and the water entry of a sphere at a uniform speed. The numerical results are validated against benchmark solutions available in the literature. Furthermore, the method is shown to effectively preserve the physical symmetry of ternary fluid flows, primarily due to the geometric resolution of the triple points and second-order accuracy in resolving interfaces. |
| Keyword | Compressible three-phase flows Sharp interface Cut-cell method |
| DOI | 10.1016/j.jcp.2025.114187 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001517386500002 |
| WOS Keyword | IMMERSED BOUNDARY METHOD ; IMPACT ; SPEED ; INSTABILITIES ; FORMULATION ; SIMULATION ; EROSION ; REMAP |
| WOS Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| Funding Project | National Natural Science Foundation of China[12388101] ; National Natural Science Foundation of China[11932019] ; National Natural Science Foundation of China[12102412] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDB0500301] |
| Funding Organization | National Natural Science Foundation of China ; Strategic Priority Research Program of Chinese Academy of Sciences |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Ding, Hang |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/101926 |
| Collection | 空天飞行高温气动全国重点实验室 |
| Affiliation | 1.Univ Sci & Technol China, Dept Modern Mech, Hefei 230027, Peoples R China; 2.China Acad Engn Phys, Inst Syst Engn, Mianyang 621900, Peoples R China; 3.Univ Sci & Technol China, State Key Lab High Temp Gas Dynam, Hefei 230027, Peoples R China |
| Recommended Citation GB/T 7714 | Li, ZhuJun,Ren, Yi,Shen, Yi,et al. 2D conservative sharp interface method for compressible three-phase flows: Ternary fluid flows and interaction of two-phase flows with solid[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2025,538:21. |
| APA | Li, ZhuJun,Ren, Yi,Shen, Yi,&Ding, Hang.(2025).2D conservative sharp interface method for compressible three-phase flows: Ternary fluid flows and interaction of two-phase flows with solid.JOURNAL OF COMPUTATIONAL PHYSICS,538,21. |
| MLA | Li, ZhuJun,et al."2D conservative sharp interface method for compressible three-phase flows: Ternary fluid flows and interaction of two-phase flows with solid".JOURNAL OF COMPUTATIONAL PHYSICS 538(2025):21. |
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