| A unified consistent source term computational algorithm for the gamma-based compressible multi-fluid flow model | |
Li, Ge; Li, Libin; Liu, Qingquan ; Feng C(冯春); Wang, Xiaoliang
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| Source Publication | COMPUTERS & FLUIDS
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| 2023-06 | |
| Volume | 259Pages:105899 |
| ISSN | 0045-7930 |
| Abstract | Using the criterion of one-fluid preservation, we developed a consistent algorithm for the source term to solve the gamma-based compressible multi-fluid flow model with three approximate Riemann solvers, namely the Lax-Friedrichs (LxF), Kurganov, and Harten-Lax-van Leer contact (HLLC) solvers. The consistent algorithm comprises a stan-dard Godunov solver with a high-order reconstruction and a consistent source term integration part. We prove that the present algorithm is consistent with Abgrall's criterion of the moving-material-interface property in the finite volume method framework. The cell boundary velocity for the source term discretization is found to be the same as HLLC solvers from five-equation model, but for the first time for LxF and Kurganov Riemann solvers. We develop 12 compressible multi-fluid solvers by combining four reconstruction schemes and three approximate Riemann solvers together with their consistent-source-term integration algorithms. All 12 solvers can maintain the one-fluid preservation and moving-material-interface properties numerically in several one-and two-dimensional example cases. The simulation of an underwater explosion demonstrates that a boundary -variation-diminishing reconstruction predicts an interface with width controlled within approximately three cells which is independent of the Riemann solver. The simulation of an explosion near a free surface demon-strates that the proposed model can simulate a severe compressible multi-fluid flow involving an interface across which there are large differences in density, pressure and parameters in the equation of state. In conclusion, the proposed consistent algorithm provides a unified framework for one kind of non-conservative hyperbolic system into a conservative hyperbolic system and a source term with velocity divergence, where the former can be computed by classical Godunov-type algorithms and the latter can be solved by the proposed consistent algorithm. |
| Keyword | Compressible multi-fluid flow Consistent algorithm One-fluid preservation Moving interface Interface sharpening |
| DOI | 10.1016/j.compfluid.2023.105899 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000989728400001 |
| Funding Organization | National Nat-ural Science Foundation of China [12172057, 12032005] |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | Wang, XL |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/92227 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.(Li Ge, Li Libin, Liu Qingquan, Feng Chun, Wang Xiaoliang) Beijing Inst Technol Sch Aerosp Engn Dept Mech Beijing 100081 Peoples R China 2.(Feng Chun) Chinese Acad Sci Inst Mech Beijing 100190 Peoples R China |
| Recommended Citation GB/T 7714 | Li, Ge,Li, Libin,Liu, Qingquan,et al. A unified consistent source term computational algorithm for the gamma-based compressible multi-fluid flow model[J]. COMPUTERS & FLUIDS,2023,259:105899.Rp_Au:Wang, XL |
| APA | Li, Ge,Li, Libin,Liu, Qingquan,冯春,&Wang, Xiaoliang.(2023).A unified consistent source term computational algorithm for the gamma-based compressible multi-fluid flow model.COMPUTERS & FLUIDS,259,105899. |
| MLA | Li, Ge,et al."A unified consistent source term computational algorithm for the gamma-based compressible multi-fluid flow model".COMPUTERS & FLUIDS 259(2023):105899. |
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| Jp2023Fa070.pdf（4786KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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