A Calculation Method of Three-Dimensional Supercavity Shape Based on the Principle of Independent Expansion
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摘要: 针对超空泡鱼雷机动过程中流体动力计算需实时准确预报出三维空泡形态的问题, 文中基于空泡截面独立膨胀原理, 提出了一种三维非定常超空泡形态计算方法。通过与Logvinovich模型和计算流体力学(CFD)数值仿真方法的对比, 验证了该方法的合理性。采用该方法对鱼雷的变速运动, 变深运动, 横、纵平面沿正弦轨迹运动及三维空间内螺旋运动的三维空泡形态进行了仿真分析, 仿真结果表明, 文中方法可以预报超空泡鱼雷沿任意轨迹运动的三维非定常超空泡形态。相较于Logvinovich模型和CFD数值仿真方法, 该方法可以求解信息更全面的三维空泡形态, 并可节省大量的计算资源。文中所做研究可为工程实践快速提供时变的三维超空泡形态, 并可为超空泡鱼雷动力学模型的建立提供参考。Abstract: In view of the problem that the fluid dynamics calculation of supercavity torpedo maneuvering needs to accurately predict the three-dimensional supercavity shape in real time, a three-dimensional unsteady supercavity shape calculation method is presented based on the independent expansion principle of cavity section. The reasonability of the method is testified by comparing with the Logvinovich model and the computational fluid dynamics(CFD) numerical simulation method. The three-dimensional supercavity shapes of a torpedo in velocity-variable motion, depth-variable motion, horizontal-longitudinal plane motion along sinusoidal trajectory, and spiral motion in three-dimensional space are simulated and analyzed by the proposed method. Simulation results show that this method can predict three-dimensional unsteady supercavity shape of a torpedo moving along any trajectory. Compared with the Logvinovich model and the CFD numerical simulation method, this method can solve the three-dimensional supercavity shape with more comprehensive information and can save a large amount of computing resource. It is concluded that the present method can rapidly provide time-varying three-dimensional supercavity shape for engineering practice and provide a reference for the establishment of dynamic model of supercavity torpedo.
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