解SPH无粘理想流的Riemann问题的方法：状态方程的结果
An approach to the Riemann problem for SPH inviscid ideal flows: consequences for the state equation
摘要：
在无粘性流体动力学中，光滑粒子流体动力学（SPH）作为一种自由拉格朗日“激波捕捉”方法，采用人工粘性贡献或适当的黎曼求解技术。显式或隐式耗散，在这样的技术中引入，是必要的，以解决流动的不连续性（黎曼问题）的欧拉方程。耗散对于消除寄生加热和处理输运现象是有用的。本文根据流体动力学中欧拉方程的经验性状态方程（EoS），提出了一种简单有效的Riemann问题的解法，其对静止气体的极限与理想气体的经典EoS相一致。在这里显示的一维激波管测试的结果，以及在密近双星（CB）的吸积盘的三维运输应用。
英文摘要：
In the non viscous fluid dynamics, Smooth Particle Hydrodynamics (SPH), as a free Lagrangian "shock capturing" method adopts either an artificial viscosity contribution or an appropriate Riemann solver technique. An explicit or an implicit dissipation, introduced in such techniques, is necessary to solve the Euler equations to solve flow discontinuities (the Riemann problem). Dissipation is useful to smooth out spurious heating and to treat transport phenomena. A simple, effective solution of the Riemann problem is here proposed, based on an empirical reformulation of the equation of state (EoS) in the Euler equations in fluid dynamics, whose limit for a motionless gas coincides with the classic EoS of ideal gases. Results on 1D shock tube tests are here shown, as well as a 3D transport application on accretion discs in close binaries (CBs).
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