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Assessment of high-resolution methods in hypersonic real-gas flows

机译:评估高超声速实际气流中的高分辨率方法

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摘要

The interest in hypersonic flow phenomena has peaked in recent years where number of experimental and computational work has been carried out. The Computational Fluid Dynamics (CFD) is fast becoming an invaluable tool to investigate compressible hypersonic flow phenomena that are extremely complex in nature. Mathematical models employed to describe complex physical phenomena that take place at hypersonic speeds inherit varying degrees of accuracy and reliability. Therefore, further studies, numerical and experimental, are needed to clarify and improve these models. Numerical computation is one of the tasks that are vital in the overall hypersonic flow research effort. This work investigated the applicability and performance of higher resolution methods to simulate high enthalpy real gas flows. Furthermore, gas-surface interaction and ablation effects are also investigated. In order to achieve the set task, it is imperative that the numerical code (CNS3D) used is equipped with necessary numerical and physical models to tackle flow behaviour typically unique to hypersonic flow. Therefore, the implementation of mathematical models that describe the real gas phenomena, such as vibrational effects, chemical dissociation, diffusion, and high enthalpy effects, has been carried out. The test cases, the HB-2 flare and the double-cone have been considered for the purposes of verification and validation. The experimental data for heat transfer and pressure are compared with numerical predictions to assess the behaviour of modified CNS3D overall and each numerical scheme with regards to reconstruction methods. The overall agreement between the predicted results for both cases and the experimental data is satisfactory. The stagnation point values of pressure and heat flux for HB-2 flare testcase at varying Mach numbers from 5 to 17.8 has been established; these values are expected aid future validation efforts. It was also found that very high-order schemes, such as WENO 5th and 9th -order methods, may provide slightly better results for free stream Mach numbers less than 10; however, there are no obvious benefits over second-order methods for Mach numbers greater than 10. Furthermore, it has been substantiated that increasing order of accuracy compared to increments in the grid resolution is much more effective way of gaining accuracy in the case of real gas flows.
机译:近年来,对高超音速流动现象的兴趣达到了顶峰,在那里进行了大量的实验和计算工作。计算流体动力学(CFD)迅速成为研究本质上极其复杂的可压缩超音速流动现象的宝贵工具。用于描述以高超声速发生的复杂物理现象的数学模型继承了不同程度的准确性和可靠性。因此,需要进一步的数值和实验研究来阐明和改进这些模型。数值计算是整个高超音速流研究工作中至关重要的任务之一。这项工作研究了高分辨率方法模拟高焓实际气流的适用性和性能。此外,还研究了气体表面相互作用和烧蚀效应。为了完成设定任务,必须为所使用的数字代码(CNS3D)配备必要的数字和物理模型,以解决通常超音速流所特有的流动行为。因此,已经执行了描述真实气体现象的数学模型,例如振动效应,化学离解,扩散和高焓效应。为了进行验证和确认,已经考虑了测试用例,HB-2喇叭口和双锥。将传热和压力的实验数据与数值预测进行比较,以评估整体CNS3D的行为以及有关重建方法的每种数值方案。两种情况的预测结果与实验数据之间的总体一致性是令人满意的。已经建立了马赫数在5到17.8之间变化的HB-2耀斑测试用例的压力和热通量的驻点值;这些值有望帮助将来的验证工作。还发现非常高阶的方案,例如WENO 5和9阶方法,对于自由流马赫数小于10可能会提供更好的结果。但是,对于大于10的马赫数,二阶方法没有明显的好处。此外,已经证实,与网格分辨率的增加相比,增加精度的阶数是在实数情况下获得精度的更有效的方法。气流。

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