A unified consistent source term computational algorithm for the gamma-based compressible multi-fluid flow model

doi:10.1016/j.compfluid.2023.105899

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	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
刊名	COMPUTERS & FLUIDS
	2023-06
卷号	259 页码:105899
关键词	Compressible multi-fluid flow Consistent algorithm One-fluid preservation Moving interface Interface sharpening
ISSN号	0045-7930
DOI	10.1016/j.compfluid.2023.105899
英文摘要	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.
分类号	二类
WOS研究方向	WOS:000989728400001
语种	英语
资助机构	National Nat-ural Science Foundation of China [12172057, 12032005]
其他责任者	Wang, XL
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/92227]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
作者单位	1.(Feng Chun) Chinese Acad Sci Inst Mech Beijing 100190 Peoples R China 2.(Li Ge, Li Libin, Liu Qingquan, Feng Chun, Wang Xiaoliang) Beijing Inst Technol Sch Aerosp Engn Dept Mech Beijing 100081 Peoples R China
推荐引用方式 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.
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.