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小扰动位势理论在低马赫数的空气动力学问题中,得到了广泛的应用,对于指导工程设计有着重要意义.在土木结构风工程中,结构体均处于低速的风场中,而且空气黏性小,边界层厚度薄,可以忽略边界层引起的较小剪切力,仅仅考虑风压的影响.本文基于小扰动位势理论,应用非协调边界元法(BEM)和有限元法(FEM),采取弱耦合策略对风-膜结构进行了流固耦合分析.由于要计算的流场域边界非连续光滑,有尖角和尖边存在,引入了非协调边界元技术,使得计算精度大大提高.另外,对于系数矩阵不对称的大型边界元方程组,引入了非常高效的预处理GMRES迭代算法,使得边界元法的优势得到了充分发挥.若干算例验证了上述处理的正确性和有效性.
Small perturbation potential theory is widely used in low Mach number aerodynamics and is of great significance for guiding engineering design.In the civil engineering wind engineering, the structures are all in the low speed wind field, and the air viscosity Small size and small boundary layer thickness, the small shear force caused by the boundary layer can be ignored and only the effect of wind pressure is considered.Based on the theory of small perturbation potential, this paper applies BEM and FEM ), A weak coupling strategy is adopted to analyze the fluid-structure interaction of the wind-membrane structure.Because of the non-continuous and smooth boundaries of the flow field to be calculated and the existence of sharp corners and sharp edges, the non-coordinated boundary element technique is introduced to make the calculation accuracy greatly In addition, for the large boundary element equations with asymmetric coefficient matrices, a very efficient preprocessing GMRES iterative algorithm is introduced to make the advantages of the boundary element method fully exerted.A few examples verify the correctness and effectiveness of the above processing Sex.