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多介质流体界面的守恒型跟踪法
  • 期刊名称:应用数学与计算数学学报
  • 时间:0
  • 页码:61-69
  • 分类:O242.1[理学—计算数学;理学—数学] O354.3[理学—流体力学;理学—力学]
  • 作者机构:[1]Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China, [2]Department of Mathematics, University of Chittagong, Chittagong 4331, Bangladesh
  • 相关基金:Project supported by tile National Natural Science Foundation of China (No. 10971132) and the Shanghai Pujiang Program (No. [20061118)
  • 相关项目:二维流体中介质界面的数值模拟
中文摘要:

这份报纸论述用保守追踪前面的方法的实验发展了在的二 Richtmyer-Meshkov (RM ) 不稳定性的数字模拟(毛, D。向基于在二空间尺寸 II 的保存追踪前面,在捕获时尚追踪断绝。J。Comput。Phys, 226, 15501588 (2007 )) 。数字结果与获得在的那些相比(霍姆斯, R.L. ,格罗夫, J.W. ,并且锋利, D. H。Richtmyer-Meshkov 不稳定性使用的数字调查追踪前面。J。液体 Mech, 301, 5164 (1995 )) 。现在的模拟通常在对霍姆斯等获得的那些的好同意,并且也捕获非线性并且 compessive 现象,即,播送并且思考的波浪边的自我相互作用,它被霍姆斯等指出。作为接口的减速的原因。然而,不安振幅和接口的振幅生长率与现在的保守追踪前面的方法获得了比霍姆斯等获得的那些大一些。

英文摘要:

This paper presents the numerical simulations of two Richtmyer-Meshkov (RM) instability experiments using the conservative front-tracking method developed in (Mao, D. Towards front-tracking based on conservation in two space dimensions II, tracking discontinuities in capturing fashion. J. Comput. Phys., 226, 1550-1588 (2007)). The numerical results are compared with those obtained in (Holmes, R. L., Grove, J. W., and Sharp, D. H. Numerical investigation of Richtmyer-Meshkov instability using front-tracking. J. Fluid Mech., 301, 51-64 (1995)). The present simulations are generally in good agreement with those obtained by Holmes et al., and also capture the nonlinear and compessive phenomenon, i.e., the self-interactions of the transmitted and reflected wave edges, which was pointed out by Holmes et al. as the cause of the deceleration of the interfaces. However, the perturbation amplitudes and the amplitude growth rates of the interfaces obtained with the present conservative front-tracking method are a bit larger than those obtained by Holmes et al.

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