Preconditioned Dual-time Stepping Method and Its Application to Multi-component Flow with Cavitation
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摘要: 采用一种基于双时间步长-预处理算法的空化流场求解方法,用于对水下多组分(包含水、水蒸汽、空气等)空泡流场进行分析研究。在控制方程源项中包含了多组分化学反应、水- 水蒸汽之间的相变等过程,并采用多块结构化网格、Roe空间离散格式对控制方程组进行离散求解,给出了典型算例,结果表明,该算法可准确地捕捉到自然及通气空泡流场中的主要特征,适用于包含多组分、且同时具有不可压缩性和可压缩性的水下空泡流场求解。Abstract: A preconditioned dual-time stepping method is developed for the multi-component flow regimes including the incompressible bulk liquid flow, low Mach number compressible vapor flow and transonic/supersonic mixture flow with cavitations. The governing equations involving liquid-gas phase change and/or gas phase chemical reaction as source terms are discretized with a multi-block structured grid via upwind flux difference scheme with flux limits(Roe-type). Several representative solutions are obtained to demonstrate the feasibility of the presented method.
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Key words:
- dual-time stepping /
- precondition /
- cavitation
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