Numerical simulation of axisymmetric unsteady incompressible flow by a vorticity-velocity method

IMECH-IR > 力学所知识产出(1956-2008)

	Numerical simulation of axisymmetric unsteady incompressible flow by a vorticity-velocity method
	Yuan L(袁礼); Fu DX(傅德薰); Ma YW(马延文)
发表期刊	International Journal for Numerical Methods in Fluids
	1995
卷号	21 期号:5 页码:401-411
ISSN	0271-2091
摘要	A new numerical method for solving the axisymmetric unsteady incompressible Navier-Stokes equations using vorticity-velocity variables and a staggered grid is presented. The solution is advanced in time with an explicit two-stage Runge-Kutta method. At each stage a vector Poisson equation for velocity is solved. Some important aspects of staggering of the variable location, divergence-free correction to the velocity held by means of a suitably chosen scalar potential and numerical treatment of the vorticity boundary condition are examined. The axisymmetric spherical Couette flow between two concentric differentially rotating spheres is computed as an initial value problem. Comparison of the computational results using a staggered grid with those using a non-staggered grid shows that the staggered grid is superior to the non-staggered grid. The computed scenario of the transition from zero-vortex to two-vortex flow at moderate Reynolds number agrees with that simulated using a pseudospectral method, thus validating the temporal accuracy of our method.
关键词	Unsteady Incompressible Flow Vorticity Velocity Formulation Numerical Simulation Staggered Grid Spherical Couette Flow Concentric Rotating Spheres Formulation Equations
收录类别	SCI
语种	英语
WOS记录号	WOS:A1995RU47000003
WOS研究方向	Computer Science ; Mathematics ; Mechanics ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
引用统计	被引频次：2[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/311007/39196
专题	力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Yuan L,Fu DX,Ma YW. Numerical simulation of axisymmetric unsteady incompressible flow by a vorticity-velocity method[J]. International Journal for Numerical Methods in Fluids,1995,21,5,:401-411.
APA	袁礼,傅德薰,&马延文.(1995).Numerical simulation of axisymmetric unsteady incompressible flow by a vorticity-velocity method.International Journal for Numerical Methods in Fluids,21(5),401-411.
MLA	袁礼,et al."Numerical simulation of axisymmetric unsteady incompressible flow by a vorticity-velocity method".International Journal for Numerical Methods in Fluids 21.5(1995):401-411.

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