Numerical analysis of dusty-gas flows
Numerical analysis of dusty-gas flows
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DOI：
10.1006/jcph.2001.6971
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发表时间：
2002-02
影响因子：
4.1
通讯作者：
T. Saito
中科院分区：
文献类型：
--
作者：
T. Saito
本文介绍了一个模拟含激波和稀疏波的非定常含尘气体流动的数值程序。激波管问题的数值结果被用来验证的准确性和性能的代码。该代码，然后扩展模拟二维问题。由于气相和颗粒相之间的相互作用是用算子分裂技术计算的，我们可以为不同的相独立地选择数值方案。尘埃相的半解析方法，而Harten和Yee的TVD格式选择的气相。在整个研究中，计算进行了SGI Origin2000，一个并行计算机与多个RISC为基础的处理器。并行计算机系统的有效使用是一个重要的问题，并在Origin2000上的代码实现进行了描述。通过对定常守恒方程的积分，计算了定常激波后气体和固体颗粒的流动轮廓。伪定常解与当前数值程序的解之间的良好一致性验证了数值方法和实际编码。伪定常激波轮廓也可用作非定常多维模拟的初始条件。
This paper presents the development of a numerical code for simulating unsteady dusty-gas flows including shock and rarefaction waves. The numerical results obtained for a shock tube problem are used for validating the accuracy and performance of the code. The code is then extended for simulating two-dimensional problems. Since the interactions between the gas and particle phases are calculated with the operator splitting technique, we can choose numerical schemes independently for the different phases. A semi-analytical method is developed for the dust phase, while the TVD scheme of Harten and Yee is chosen for the gas phase. Throughout this study, computations are carried out on SGI Origin2000, a parallel computer with multiple of RISC based processors. The efficient use of the parallel computer system is an important issue and the code implementation on Origin2000 is also described. Flow profiles of both the gas and solid particles behind the steady shock wave are calculated by integrating the steady conservation equations. The good agreement between the pseudo-stationary solutions and those from the current numerical code validates the numerical approach and the actual coding. The pseudo-stationary shock profiles can also be used as initial conditions of unsteady multidimensional simulations.