DECOUPLED ENERGY STABLE SCHEMES FOR PHASE-FIELD MODELS OF TWO-PHASE COMPLEX FLUIDS

CORC > 厦门大学 > 数学科学－已发表论文

	DECOUPLED ENERGY STABLE SCHEMES FOR PHASE-FIELD MODELS OF TWO-PHASE COMPLEX FLUIDS
	Shen, Jie ; Yang, Xiaofeng ; Shen J(沈捷)
刊名	http://dx.doi.org/10.1137/130921593
	2014
关键词	CAHN-HILLIARD EQUATION LIQUID-CRYSTALS CONSTITUTIVE EQUATIONS INCOMPRESSIBLE FLOWS DROP FORMATION DYNAMICS APPROXIMATION SIMULATIONS
英文摘要	NSFC [91130002, 11371298]; AFOSR [FA9550-12-1-0178]; SC Epscor Gear, Gear-CI fund; [NSF-1200487]; We consider in this paper numerical approximations of phase-field models for two-phase complex fluids. We first reformulate the phase-field models derived from an energetic variational formulation into a form which is suitable for numerical approximation and establish their energy laws. Then, we construct two classes, stabilized and convex-splitting, of decoupled time discretization schemes for the coupled nonlinear systems. These schemes are unconditionally energy stable and lead to decoupled elliptic equations to solve at each time step. Furthermore, these elliptic equations are linear for the stabilized version. Stability analysis and ample numerical simulations are presented.
语种	英语
出版者	SIAM PUBLICATIONS
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91388]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Shen, Jie,Yang, Xiaofeng,Shen J. DECOUPLED ENERGY STABLE SCHEMES FOR PHASE-FIELD MODELS OF TWO-PHASE COMPLEX FLUIDS[J]. http://dx.doi.org/10.1137/130921593,2014.
APA	Shen, Jie,Yang, Xiaofeng,&沈捷.(2014).DECOUPLED ENERGY STABLE SCHEMES FOR PHASE-FIELD MODELS OF TWO-PHASE COMPLEX FLUIDS.http://dx.doi.org/10.1137/130921593.
MLA	Shen, Jie,et al."DECOUPLED ENERGY STABLE SCHEMES FOR PHASE-FIELD MODELS OF TWO-PHASE COMPLEX FLUIDS".http://dx.doi.org/10.1137/130921593 (2014).