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- 2016
基于一维不定常流理论和Riemann间断分解的改进CSPM
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Abstract:
针对改进的光滑粒子方法(CSPM)在求解非连续流体动力学问题时出现解的非物理振荡的不足, 基于一维不定常流理论和Riemann间断分解的思想, 提出了一种改进的CSPM, 提高了其解决间断问题时的精度, 并减小了非物理振荡．该方法的可靠性以及适用范围得到了两组典型一维激波管算例的验证．计算结果表明, 本文提出的方法在求解强间断的精度方面要优于传统的SPH方法, 能有效消除间断面上的非物理振荡, 在激波捕捉方面仍有较好的精度．
In order to improve corrective smoothed particle method(CSPM)in solving the discontinuous phenomena of fluid dynamics，a new method named modified CSPM is proposed based on one-dimensional non-steady flow theory and Riemann solution. This new approach improves the CSPM’s deficiencies such as low-accuracy and unphysical vibration in solving the discontinuous phenomena. Moreover，two numerical cases of classical one-dimensional shock tube are carried out to examine the performance of the new method. Results show that the new method functions well in solving strong discontinuous phenomena，and even in the situation that traditional SPH can’t work，the new method still can get satisfactory result in shock wave capturing
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