A full-field simulation methodology for sonic boom modeling on adaptive Cartesian cut-cell meshes

A full-field simulation methodology for sonic boom modeling on adaptive Cartesian cut-cell meshes
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自适应笛卡尔切割单元网格声爆建模的全场仿真方法

DOI:
10.1016/j.jcp.2020.109271
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发表时间:
2020
期刊:
J. Comput. Phys.
影响因子:
--
通讯作者:
N. Nikiforakis
N. Nikiforakis
中科院分区:
--
文献类型:
--
作者:
Rei;Lukas Wutschitz;N. Nikiforakis

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本文发展了层状大气中声爆的全场直接数值模拟方法。整个流场,从超音速物体周围的近场到延伸到地面的远场,都由带有引力源项的三维欧拉方程来模拟。到目前为止,它是使用结构化网格来求解的,以前的模拟在复杂几何中的应用受到了限制。在本研究中,我们使用以下四种数值方法来实现全场模拟:(I)分层结构自适应网格加密(AMR)方法,(Ii)笛卡尔切割单元方法,(Iii)良好平衡有限体积方法,以及(Iv)计算域的分割方法。建立了一种新的平衡的MUSCL-Hancock格式,该格式适用于分层大气的笛卡尔AMR网格和切割网格。对分层大气中斜激波的计算结果与精确解吻合较好。全场模拟成功地再现了由日本宇宙航空研究开发机构(JAXA)进行的非对称分布音爆(D-SEND)1号简化评估的跌落试验。仿真结果与前人的计算研究、波形参数法和试飞测量结果吻合较好。网格收敛研究表明,网格尺寸足够精细,可以评估整个流场的压力特征。这些结果表明,采用AMR和截断网格的全场模拟是广泛分析三维冲击波在层结大气中传播的有力工具。
This paper develops a full-field direct numerical simulation methodology of sonic boom in a stratified atmosphere. The entire flow field, ranging from the near field around a supersonic body to the far field extending to the ground, is modeled by the three-dimensional Euler equations with a gravitational source term. Thus far, it has been solved using a structured grid, and an application of previous simulation to complex geometries has been limited. In this study, we realize a full-field simulation by employing the following four numerical approaches: (i) a hierarchical structured adaptive mesh refinement (AMR) method, (ii) a Cartesian cut cell method, (iii) a well-balanced finite volume method, and (iv) a segmentation method of the computational domain. A new well-balanced, MUSCL-Hancock scheme applied over Cartesian AMR and cut cell grids for a stratified atmosphere is formulated. The computational results of an oblique shock wave in a stratified atmosphere agree well with the exact solution. A full-field simulation successfully reproduces the Drop test for Simplified Evaluation of Non-symmetrically Distributed sonic boom (D-SEND) #1, conducted by the Japan Aerospace Exploration Agency (JAXA). The results of this simulation are in good agreement with those of the previous computational study, the waveform parameter method, and flight test measurements. The grid convergence study shows that the mesh size is fine enough to assess pressure signatures over the entire flow field. These results demonstrate that a full-field simulation with AMR and cut cell grids is a powerful tool for extensively analyzing three-dimensional shock wave propagation in a stratified atmosphere.
DOI: --
发表时间: 2013
影响因子: 2.2
作者:
S. Minakuchi;T. Umehara;K. Takagaki;Y. Ito and N. Takeda;Hiroshi Yamashita and Shigeru Obayashi
通讯作者: Hiroshi Yamashita and Shigeru Obayashi