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采用有限差分方法开发了气冷涡轮气弹耦合求解器。该求解器分别在流动区域求解时间平均N-S方程。在固体区域求解振动方程,在流固边界则施加了气弹耦合边界条件。在流动问题求解中,采用了B-L代数湍流模型封闭时均N-S方程,采用三阶AUSMPW+差分格式离散对流项,并采用隐式LU-SGS格式求解离散后的代数方程;振动问题则采用显式格式求解;采用代数网格法进行固体区域动态网格生成。采用该耦合求解器对某涡轮级动叶的振动响应问题进行了数值仿真,研究表明:所开发的耦合求解器能够用于振动响应问题的分析,同时本算例中涡轮动叶的振动不存在发散现象,并且叶片振动对流动的影响很小。
The gas-cooled turbine gas-to-air coupled solver was developed by finite difference method. The solver solves the time-averaged N-S equation in the flow region, respectively. Vibration equations are solved in the solid region, and the boundary condition of the gas-spring coupling is imposed on the fluid-solid boundary. In solving the flow problem, the closed-form time-averaged Navier-Stokes equations of the BL algebraic turbulence model are adopted. The third-order AUSMPW + differential scheme is used to discretize the convection term and the implicit LU-SGS scheme is used to solve the discrete algebraic equations. Solving; using the algebraic grid method to generate dynamic region of the solid region. The coupled solver is used to simulate the vibration response of a turbine stage lobe. The results show that the developed coupled solver can be used to analyze the vibration response problem. At the same time, the vibration of the turbine lobe in this example does not exist Divergence phenomenon, and blade vibration has little effect on the flow.