谭哲东,岑人经,吴源青,吴效明.计算动脉血管发展流动的新差分格式[J].计算力学学报,2004,21(4):407~411 |
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计算动脉血管发展流动的新差分格式 |
A new difference scheme of developing flow calculation in arterial vessel |
修订日期:2002-10-18 |
DOI:10.7511/jslx20044072 |
中文关键词: 血液流动 发展流动 差分法 SIMPLE方法 |
英文关键词:blood flow,developing flow,difference schemes |
基金项目:国家自然科学基金(10172035)资助项目. |
谭哲东 岑人经 吴源青 吴效明 |
华南理工大学生物力学研究所,广东广州510641 |
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中文摘要: |
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。 |
英文摘要: |
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. |
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