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本文提出了一种处理二维粘性流场与扁薄弹性体相互作用的粘性流边界元理论和方法,类似于势流理论中的边界元方法,在弹性体湿表面分布Oseen方程的基本解,即Oseen子,并由物面边界条件确定其强度。探讨提高Oseen方程适用雷诺数范围的问题。通过一悬臂水翼在粘性绕流流场中的振动来演示该方法的应用。
In this paper, a theory and method of viscous flow boundary element for dealing with the interaction between two-dimensional viscous flow field and thin elastic body is proposed. Similar to the boundary element method in potential flow theory, the basic solution of Oseen equation is distributed on the wet surface of elastomer, Ie Oseen, and its intensity is determined by the boundary conditions of the object surface. Discuss the problem of improving the range of Reynolds number for Oseen equation. The application of this method is demonstrated by the vibration of a cantilever hydrofoil in a viscous flow field.