New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations

	New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations
	Shi Feng; Liang Guoping; Zhao Yubo; Zou Jun
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2014
英文摘要	We present a new splitting method for time-dependent convention-dominated diffusion problems. The original convention diffusion system is split into two sub-systems: a pure convection system and a diffusion system. At each time step, a convection problem and a diffusion problem are solved successively. A few important features of the scheme lie in the facts that the convection subproblem is solved explicitly and multistep techniques can be used to essentially enlarge the stability region so that the resulting scheme behaves like an unconditionally stable scheme; while the diffusion subproblem is always self-adjoint and coercive so that they can be solved efficiently using many existing optimal preconditioned iterative solvers. The scheme can be extended for solving theNavier-Stokes equations, where the nonlinearity is resolved by a linear explicit multistep scheme at the convection step, while only a generalized Stokesproblem is needed to solve at the diffusion step and the major stiffness matrix stays invariant in the time marching process. Numerical simulations are presented to demonstrate the stability, convergence and performance of the single-step and multistep variants of the new scheme.
收录类别	SCI
原文出处	http://www.math.cuhk.edu.hk/~zou/publication/cicp14.pdf
语种	英语
内容类型	期刊论文
源URL	[http://ir.siat.ac.cn:8080/handle/172644/5976]
专题	深圳先进技术研究院_数字所
作者单位	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
推荐引用方式 GB/T 7714	Shi Feng,Liang Guoping,Zhao Yubo,et al. New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2014.
APA	Shi Feng,Liang Guoping,Zhao Yubo,&Zou Jun.(2014).New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS.
MLA	Shi Feng,et al."New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2014).