计算动脉血管发展流动的新差分格式

在引用守恒型N—S方程和SIMPLE方法的基础上，对血管发展流动的控制方程提出了新的差分格式。算例结果表明：本差分格式对血管发展流动的数值研究是可行的。

A new difference scheme of developing flow calculation in arterial vessel

The investigations by scientists such as McDonald D A, Schultz D L, Cen R J and Qin Chan etc, all indicate that Poiseulle's formula is, in strict speaking, not applied to the blood flow in an arterial vessel. Because the Poiseulle's formula is only valid for developed flow. However, there is only developing flow other than developed flow for the blood in an arterial vessel. Therefore, the investigation of developing flow in an arterial vessel is paid attention by scientists. A definite difference method(DDM) is applied to solve the nonlinear Navier-Stokes equation. Introducing the Pressure-Linked Equation and applying the SIMPLE method, the governing equation is solved. A new kind of the difference scheme of the governing equation for the developing flow in an arterial vessel is constructed by authors. The problem of unsteady oscillatory developing flow in an arterial vessel is computed by this proposed program. The numerical results show that this difference schemes are practicable for the numerical research of developing flow in blood vessels.