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首页> 外文期刊>International journal of non-linear mechanics >Solution of the Riemann Problem in magnetogasdynamics
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Solution of the Riemann Problem in magnetogasdynamics

机译：磁流体动力学中黎曼问题的解答

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摘要

In the present paper, the Riemann Problem for a quasilinear hyperbolic system of equations, governing the one dimensional unsteady flow of an inviscid and perfectly conducting gas, subjected to transverse magnetic field, is solved analytically without any restriction on the initial states. This class of equations includes, as a special case, the Euler equation of gasdynamics. The elementary wave solutions of the Riemann problem, that is, shock waves, rarefaction waves and contact discontinuities are derived and their properties are discussed. It is noticed that although the magnetogasdynamics system is more complex than the corresponding gasdynamics system, all the parallel results remain identical. It is also assessed as to how the presence of magnetic field influences the variation of velocity and density across the shock wave, rarefaction wave and contact discontinuities.
机译：在本文中，解决了拟线性双曲方程组的黎曼问题，该问题控制了在横向磁场作用下不粘且传导良好的气体的一维非定常流动，并且对初始状态没有任何限制。作为一种特殊情况，这类方程包括气体动力学的欧拉方程。推导了黎曼问题的基本波解，即冲击波，稀疏波和接触不连续性，并讨论了它们的性质。值得注意的是，尽管磁气动力学系统比相应的气动力学系统更为复杂，但所有并行结果仍然相同。还评估了磁场的存在如何影响冲击波，稀疏波和接触间断处的速度和密度的变化。

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