Expansion Shock Waves in Numerical Solutions of Gasdynamic Problems

M. V. Abakumov; M. V. Abakumov; Yu. P. Popov; D. V. Rogozhkin

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Expansion Shock Waves in Numerical Solutions of Gasdynamic Problems

机译：气动力问题数值解中的膨胀激波

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The properties of diverse difference schemes of gas dynamics (nonconservative, conservative,and completely conservative) were studied with reference to the example of the classical problem of a piston. It is shown that in the case in which the piston is pulled out of a gas with the formation of an expansion wave, the application of schemes without a sufficient stability margin can lead to the appearance of discontinuities in the form of expansion shock waves. The explanation of this effect and possible ways for eliminating it are proposed.

机译：以活塞经典问题为例，研究了气体动力学的多种差异方案（非保守，保守和完全保守）的性质。可以看出，在形成膨胀波的情况下将活塞从气体中抽出的情况下，没有足够的稳定性余量的方案的应用会导致膨胀冲击波形式的不连续出现。提出了对此影响的解释以及消除该影响的可能方法。

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《Mathematical models and computer simulations》 |2009年第1期|共10页
作者
M. V. Abakumov; M. V. Abakumov; Yu. P. Popov; D. V. Rogozhkin;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
difference schemes; sufficient stability; expansion shock;

机译：差异方案;足够的稳定性;膨胀冲击;

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专利

1. Expansion Shock Waves in Numerical Solutions of Gasdynamic Problems [J] . M. V. Abakumov, M. V. Abakumov, Yu. P. Popov, Mathematical models and computer simulations . 2009,第1期

机译：气动力问题数值解中的膨胀激波
2. Exact solution of planar and nonplanar weak shock wave problem in gasdynamics [J] . L.P. Singh, S.D. Ram, D.B. Singh Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2011,第11期

机译：气体动力学中平面和非平面弱冲击波问题的精确解
3. Numerical Study of Interaction of a Vortical Density Inhomogeneity with Shock and Expansion Waves [J] . A. Povitsky, D. Ofengeim International journal of computational fluid dynamics . 1999,第2期

机译：涡流密度与激波和膨胀波相互作用的数值研究
4. Numerical Simulation of the Evolution of Focusing Shock Wave in Extracorporeal Shock Wave Lithotripsy by Using Space-Time Conservation Element and Solution Element Scheme [C] . Kwan-Ho Lee, rnEon-Ku Rhee Computational Mechanics . 2007

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5. Numerical solutions to three-dimensional shock wave / vortex interaction at hypersonic speeds. [D] . Corpening, Griffin Pat. 1988

机译：高超声速下三维冲击波/涡旋相互作用的数值解。
6. Response of Single Cells to Shock Waves and Numerically Optimized Waveforms for Cancer Therapy [O] . Dongli Li, Antonio Pellegrino, Andre Hallack, 2018

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7. Numerical Study of Interaction of a Vortical Density Inhomogeneity with Shock and Expansion Waves [O] . Povitsky, A., Ofengeim, D. 1998

机译：涡流密度与激波和膨胀波相互作用的数值研究
8. AN INTEGRAL SOLUTION TO THE FLAT-PLATE LAMINAR BOUNDARY-LAYER FLOW EXISTING INSIDE AND AFTER EXPANSION WAVES AND AFTER SHOCK WAVES MOVING INTO QUIESCENT FLUID WITH PARTICULAR APPLICATION TO THE COMPLETE SHOCK-TUBE FLOW [R] . Robert L. Trimpi, Nathaniel B. Cohen 1957

机译：膨胀波内部和冲击波后的平板层状边界层流动的积分解决方案，特别适用于完全冲击管流动的静态流体

Expansion Shock Waves in Numerical Solutions of Gasdynamic Problems

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