基于预处理方法的空化超空化流数值模拟

NUMERICAL SIMULATIONS FOR CAVITATION AND SUPERCAVITATION FLOWS BASED ON PRECONDITIONING

摘要: 建立了一套水动力空化流数值计算方法,采用基于预处理方法的空化两相流模型计算二维空化问题,并通过添加源项来计算轴对称外型空化问题,发展了类比于Roe格式的空化两相流通量计算迎风格式,湍流模型采用经过修正的两方程模型,时间推进采用双时间步LU-SGS隐式方法,计算了二维水翼及轴对称体外型的全湿流、空化及超空化流动。数值结果表明,该文建立的基于预处理方法的空化两相流数值算法是有效的,可以对二维及轴对称外型的全湿流态以及空化、超空化的演化等现象进行数值预测。

Abstract: A numerical method is developed to simulate two dimensional cavitation phenomenon by the preconditioning method, including a flux difference scheme similar to Roe scheme,a modified turbulent model, and a dual-time implicit LU-SGS method. The source terms are added into governing equations to apply for axisymmetric configurations. Two dimensional hydrofoil and axisymmetric hemispherical bodies are computed in terms of all-wet flow, cavitation, and supercavitation. The method is effective and can predict all-wet flow and the development of cavitation and supercavitation for both two dimensional and axisymmetric configurations.