流体力学与行星际物理学中激波动力学问题求解新论

New Solution Metholds of Shock Dynamics in Fluid Mechanics and Interplanetary Physics

针对激波问题的求解 ,深入研究了流场及其导数跨跃激波面的跃变应满足的关系 ,其结果是得到联系激波前后流场与激波速度、方向的无穷维动力学系统 ,它实质上是反映激波全部信息的激波前后物理量空间导数与激波速度、方向的相容性关系 ,可以称为广义Rankine -Hugoniot跃变条件 ,有望为流体力学。

For the purpose of dealing with the shock dynamics ,this paper studies the compatiblity relations which are satisfied by the jumps of the flows across the shock surface.This study results in a infinite dynamiceal system relating the states of flows ahead and behind the shock,which,in fact reflecting the entire information for the shock problem,is the compatibility relations of spatial derivatives of the flow ahead and behind the shock,shock velocity and its normal direction and can be called generalized Rankine-Hugoniot jump conditions.The dynamical system derived has the potential application of solving certain shock problems arising in fluid mechanics and interplanetary physics.