摘要翻译:
我们提出了一个改进的高速可压缩流动的格子Boltzmann模型。该模型由Kataoka和Tsutahara的离散速度模型[Phys.Rev.E\TextBF{69},056702(2004)]和适当的有限差分格式结合附加耗散项组成。利用耗散项,模型中的参数可以灵活选择,从而满足von Neumann稳定性条件。分析了各种模型参数对数值稳定性的影响,并提出了一些参数的参考值。新方案适用于马赫数大于30(或更高)的亚音速和超音速流动,并通过著名的基准试验得到了验证。在压力密度比很高($1000:1$)的情况下,对黎曼问题的模拟也显示出良好的准确性和稳定性。正则激波反射和双马赫激波反射的成功恢复显示了格子玻尔兹曼模型在非平衡过程固有的流体系统中的潜在应用。新的稳定性格式很容易推广到其他格子Boltzmann模型。
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英文标题:
《Lattice Boltzmann Approach to High-Speed Compressible Flows》
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作者:
X.F.Pan, Aiguo Xu, Guangcai Zhang, Song Jiang
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We present an improved lattice Boltzmann model for high-speed compressible flows. The model is composed of a discrete-velocity model by Kataoka and Tsutahara [Phys. Rev. E \textbf{69}, 056702 (2004)] and an appropriate finite-difference scheme combined with an additional dissipation term. With the dissipation term parameters in the model can be flexibly chosen so that the von Neumann stability condition is satisfied. The influence of the various model parameters on the numerical stability is analyzed and some reference values of parameter are suggested. The new scheme works for both subsonic and supersonic flows with a Mach number up to 30 (or higher), which is validated by well-known benchmark tests. Simulations on Riemann problems with very high ratios ($1000:1$) of pressure and density also show good accuracy and stability. Successful recovering of regular and double Mach shock reflections shows the potential application of the lattice Boltzmann model to fluid systems where non-equilibrium processes are intrinsic. The new scheme for stability can be easily extended to other lattice Boltzmann models.
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PDF链接:
https://arxiv.org/pdf/706.0405