Numerical solutions of time-dependent incompressible Navier-Stokes equations using an integro-differential formulation
Numerical solutions of time-dependent incompressible Navier-Stokes equations using an integro-differential formulation
复制标题
使用积分微分公式求解瞬态不可压缩纳维-斯托克斯方程的数值解
DOI：
10.1016/0045-7930(73)90018-2
复制
发表时间：
1973
影响因子：
2.8
通讯作者：
J. Thompson
中科院分区：
文献类型：
--
作者：
J. Wu;J. Thompson
利用该方程的积分-微分形式，发展了一种求解该方程的数值方法。该方法允许将实际计算限制在流动的粘性区域，并大大减少了数值过程中所需的数据点数量。给出了积分-微分式，并讨论了问题的运动学和运动学方面以及两者之间的相互作用。文中给出了几个平行流问题和圆柱体绕流的结果。结果表明，对于圆柱体，在圆柱体后面引入分流板可以抑制旋涡脱落。
A numerical method for the solution of the Navier-Stokes equations is developed using an integro-differential formulation of the equations. The method permits the actual computation to be confined to the viscous region of the flow and offers a drastic reduction in the number of data points required in the numerical procedure. The integro-differential formulation is presented along with discussion of the kinetic and kinematic aspects of the problem and the interplay between the two aspects. Results for several parallel flow problems and for the flow past a circular cyliner are presented. For the circular cylinder, it is shown that the introductions of a splitter plate behind the cylinder suppresses vortex shedding.