In this paper, a pressure-based coupled computational fluid dynamics algorithm for numerical analysis of all Mach number region flow is developed. For this purpose, an enhanced pressure based coupled algorithm was developed through the pressure–velocity coupled algorithm and the pressure-enthalpy coupled algorithm were combined. In additional, the Kurganov–Tadmor flux splitting scheme, which is mainly used in density-based solvers, was applied to a developed pressure-based coupled solver. To confirm the analytical ability of developed solver, the variety of Mach number flow problems were performed using the developed solver. It was confirmed that the developed solver had the similar analytical ability with that of the other numerical codes through the analysis of the shock tube problems. In order to verify the analytical ability for the variety Mach number flow region of the developed solver, 2D bump and nozzle problems and 3D missile and wing problems were analyzed and compared with results of experiments and other numerical analysis codes. It is confirmed that the analytical ability of developed solver in the all speed flow region is somewhat improved than the commercial analysis package and is similar to the density based in-house CFD code.

中文翻译：

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增强的基于压力的耦合算法与压力-速度-焓相结合，适用于所有马赫数流

在本文中，开发了一种基于压力的耦合计算流体动力学算法，用于对所有马赫数区域流动进行数值分析。为此，通过将压力-速度耦合算法和压力-焓耦合算法相结合，开发了一种基于压力的增强耦合算法。此外，主要用于基于密度的求解器的 Kurganov-Tadmor 通量分裂方案被应用于开发的基于压力的耦合求解器。为了确认开发的求解器的分析能力，使用开发的求解器执行了各种马赫数流问题。通过对激波管问题的分析，证实所开发的求解器具有与其他数值程序相似的解析能力。为了验证所开发求解器对各种马赫数流域的解析能力，对2D碰撞和喷嘴问题以及3D导弹和机翼问题进行了分析，并与实验结果和其他数值分析代码进行了比较。经证实，开发的求解器在全速流动区域的分析能力比商业分析包有所提高，并且类似于基于密度的内部 CFD 代码。