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Implementation of weighted essentially non-oscillatory scheme for unsteady and steady compressible flow in pressure-based algorithm
International Journal for Numerical Methods in Fluids ( IF 1.8 ) Pub Date : 2021-02-24 , DOI: 10.1002/fld.4972
Mojtaba Balaj 1 , Mohammad Hassan Djavareshkian 1
Affiliation  

A pressure-based semi-implicit procedure has been developed for the computation of compressible flows on a system with collocated finite volume formulations. The method includes the implementation of a high-order accurate weighted essentially non-oscillatory scheme within the pressure-based algorithm which employs an approximate Riemann solver for the computation of the cell face inviscid fluxes. The developed scheme is applied to the computation of unsteady compressible flow through a shock tube which experiences various Mach numbers, and the computations are compared with an analytical solution. The computations indicate that the developed procedure leads to sharp discontinuity representation without creation of spurious oscillations. Then, the developed numerical method is utilized to investigate unsteady two-dimensional flow for a lax configuration and the results are compared with the results of the similar scheme in the density-based algorithm. At the end, the investigation of steady compressible flows in bump and wedge channel is considered. The simulations show a considerable improvement over the existing pressure-based method. The investigations show that the developed method is suitable for studying compressible steady and unsteady flows.

中文翻译:

基于压力算法的非定常和定常可压缩流加权本质非振荡方案的实现

已经开发了一种基于压力的半隐式程序,用于计算具有并置有限体积公式的系统上的可压缩流动。该方法包括在基于压力的算法中实施高阶精确加权基本非振荡方案,该算法采用近似黎曼求解器来计算单元面无​​粘性通量。将所开发的方案应用于通过经历各种马赫数的激波管的非定常可压缩流的计算,并将计算结果与解析解进行比较。计算表明,开发的程序会导致尖锐的不连续性表示,而不会产生虚假振荡。然后,所开发的数值方法用于研究松散配置的非定常二维流动,并将结果与​​基于密度的算法中类似方案的结果进行比较。最后,考虑了凸块和楔形通道中稳定可压缩流动的研究。模拟表明,与现有的基于压力的方法相比,有了相当大的改进。研究表明,所开发的方法适用于研究可压缩的稳态和非稳态流动。
更新日期:2021-02-24
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