Shock wave detection in two-dimensional flow based on the theory of characteristics from CFD data
Shock wave detection in two-dimensional flow based on the theory of characteristics from CFD data
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DOI：
10.1016/j.jcp.2011.01.007
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发表时间：
2011-04
期刊：
影响因子：
--
通讯作者：
Masashi Kanamori;Kojiro Suzuki
中科院分区：
文献类型：
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作者：
Masashi Kanamori;Kojiro Suzuki
基于特征理论，开发了一种从计算流体动力学 (CFD) 数据中检测冲击波不连续性的方法，该方法取代了观察陡峭空间梯度相对于压力等原始变量的位置的不准确方法。冲击波在数学上被定义为特征的收敛，其中每种类型的黎曼不变量在每个特征内都是守恒的。在特征向量场中，这种收敛被解释为流线的临界线，通过计算黎曼不变量的传播速度向量场的特征向量可以很容易地识别出临界线。使用三角形单元系统可以唯一确定每个单元中的线性化矢量场，并可以分析识别该场内的临界线。使用这种方法可以成功提取冲击波。通过考虑随激波的坐标移动，该方法可以推广到运动激波的检测。
A method to detect the discontinuity of a shock wave from computational fluid dynamics (CFD) data was developed based on the theory of characteristics and was adopted to replace the inaccurate method that involves observation of the location of steep spatial gradient with respect to the primitive variables, such as pressure. A shock wave is mathematically defined as a convergence of characteristics, in which each type of Riemann invariant is conserved within each characteristic. In the vector field of the characteristics, such convergences are interpreted as critical lines of the streamlines, which are easily identified by calculating the eigenvectors of the vector field of propagation velocity of the Riemann invariant. The use of a triangular cell system enables unique determination of the linearized vector field in each cell and enables analytical identification of the critical line within this field. Shock waves can be successfully extracted using this method. The method can be extended to the detection of moving shock waves by considering the coordinate moving with the shock.