具有非零切向速度的流体力学Riemann问题的精确解和超相对论状态方程
Exact solution of the hydrodynamical Riemann problem with nonzero tangential velocities and the ultrarelativistic equation of state
摘要：
在超相对论性状态方程和切向于初始间断的速度的非零分量的情况下，给出了相对论性流体力学中Riemann问题的一个解。超相对论性状态方程的简单性（压力与能量密度成正比）使我们能够用解析形式来表示这个解。所得结果可用于构造和检验（3 + 1）维相对论性Euler方程的数值格式。
英文摘要：
We give a solution of the Riemann problem in relativistic hydrodynamics in the case of ultrarelativistic equation of state and nonvanishing components of the velocity tangent to the initial discontinuity. Simplicity of the ultra-relativistic equation of state (the pressure being directly proportional to the energy density) allows us to express this solution in analytical terms. The result can be used both to construct and test numerical schemes for relativistic Euler equations in (3 + 1) dimensions.
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