A Hybrid Scheme Based on Finite Element/Volume Methods for Two Immiscible Fluid Flows

doi:10.1002/fld.1997

	A Hybrid Scheme Based on Finite Element/Volume Methods for Two Immiscible Fluid Flows
	Wan T(万田); Aliabadi S; Bigler C
发表期刊	International Journal for Numerical Methods in Fluids
	2009-02-04
卷号	61 期号:8 页码:930-944
ISSN	0271-2091
摘要	We have successfully extended our implicit hybrid finite element/volume (FE/FV) solver to flows involving two immiscible fluids. The solver is based on the segregated pressure correction or projection method on staggered unstructured hybrid meshes. An intermediate velocity field is first obtained by solving the momentum equations with the matrix-free implicit cell-centered FV method. The pressure Poisson equation is solved by the node-based Galerkin FE method for an auxiliary variable. The auxiliary variable is used to update the velocity field and the pressure field. The pressure field is carefully updated by taking into account the velocity divergence field. This updating strategy can be rigorously proven to be able to eliminate the unphysical pressure boundary layer and is crucial for the correct temporal convergence rate. Our current staggered-mesh scheme is distinct from other conventional ones in that we store the velocity components at cell centers and the auxiliary variable at vertices. The fluid interface is captured by solving an advection equation for the volume fraction of one of the fluids. The same matrix-free FV method, as the one used for momentum equations, is used to solve the advection equation. We will focus on the interface sharpening strategy to minimize the smearing of the interface over time. We have developed and implemented a global mass conservation algorithm that enforces the conservation of the mass for each fluid.
学科领域	流体力学
DOI	10.1002/fld.1997
收录类别	SCI
语种	英语
WOS记录号	WOS:000271515900006
引用统计	被引频次：12[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/33035
专题	高温气体动力学国家重点实验室
通讯作者	Aliabadi S
推荐引用方式 GB/T 7714	Wan T,Aliabadi S,Bigler C. A Hybrid Scheme Based on Finite Element/Volume Methods for Two Immiscible Fluid Flows[J]. International Journal for Numerical Methods in Fluids,2009,61,8,:930-944.
APA	万田,Aliabadi S,&Bigler C.(2009).A Hybrid Scheme Based on Finite Element/Volume Methods for Two Immiscible Fluid Flows.International Journal for Numerical Methods in Fluids,61(8),930-944.
MLA	万田,et al."A Hybrid Scheme Based on Finite Element/Volume Methods for Two Immiscible Fluid Flows".International Journal for Numerical Methods in Fluids 61.8(2009):930-944.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
tianwan_jsu_paper.pd（491KB）			开放获取	使用许可	浏览下载