Numerical Simulation of Supersonic Flows with Nonequilibrium Chemical Reactions

IF 1.1 4区 物理与天体物理 Q4 PHYSICS, APPLIED
A. M. Molchanov, A. S. Myakochin, V. I. Panevin, S. Yu. Mesnyankin
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引用次数: 0

Abstract

A new efficient implicit fully coupled numerical method for calculating thermochemical nonequilibrium flows is developed. Such flows are described by partial differential equations for conservation of mass, momentum, total energy, conservation of mass for each component, transfer of turbulent characteristics, etc. The total number of equations can be very large, which greatly complicates the solution of the general finite volume vector equation by using the standard fully implicit approach. The proposed method allows one to reduce operations with block tridiagonal matrices to inversion of 5 × 5 matrices and trivial operations of matrix multiplication. The numerical method is used to calculate the afterburning of the jet and for the supersonic combustion of hydrogen in the channel. The results show that for the considered problems, the new method is about two times more efficient than the standard fully implicit method.

Abstract Image

含非平衡化学反应的超音速流动数值模拟
提出了一种计算热化学非平衡流动的高效隐式全耦合数值方法。这种流动由质量守恒、动量守恒、总能量守恒、各分量质量守恒、湍流特性传递等偏微分方程来描述。方程的总数可能非常大,这使得用标准的全隐式方法求解一般有限体积矢量方程变得非常复杂。该方法将块三对角矩阵的运算简化为5 × 5矩阵的反演和矩阵乘法的平凡运算。采用数值方法计算了射流的加力燃烧和通道内氢气的超声速燃烧。结果表明,对于所考虑的问题,新方法的效率是标准全隐式方法的两倍左右。
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来源期刊
Technical Physics
Technical Physics 物理-物理:应用
CiteScore
1.30
自引率
14.30%
发文量
139
审稿时长
3-6 weeks
期刊介绍: Technical Physics is a journal that contains practical information on all aspects of applied physics, especially instrumentation and measurement techniques. Particular emphasis is put on plasma physics and related fields such as studies of charged particles in electromagnetic fields, synchrotron radiation, electron and ion beams, gas lasers and discharges. Other journal topics are the properties of condensed matter, including semiconductors, superconductors, gases, liquids, and different materials.
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