英语翻译请不要用翻译软件：AN ATTEMPT to simulate shock waves using the Bo

英语翻译
请不要用翻译软件：
AN ATTEMPT to simulate shock waves using the Boltzmann
equation (BE) has been made by Mott-Smith [1] who proposed
a bimodal distribution function consisting of two Maxwellian terms
to describe molecular collision behavior in the BE.The solution was
then compared with an approximate solution of the BE for strong
shocks where the Chapman–Enskog [2] expansion method was used
to recover the Navier–Stokes (NS) equations.This approach proved
to be satisfactory for the simulation of the structure of strong shocks
but was not valid for shocks with low to moderate Mach numbersM.
Extension of the Mott-Smith approach to low to moderate M was
attempted by Salwen et al.[3].Since then,attempts to model the BE
have been made by various researchers; among them,a commonly
accepted model was that due to Bhatnagar et al.[4],hereafter
designated as the BGK model.The model was proposed for
monatomic gas only and considered the deviation of the particle
distribution function f from its equilibrium state feq to be small.
Thus,the nonlinear character of molecular collision was modeled in
feq,which BGK assumed to be described by a Maxwellian
distribution.The lattice Boltzmann method (LBM) devised from this
model found success in the simulation of incompressible,isothermal
flow,where the equation of state for monatomic gas is automatically
satisfied.Its extension to simulate compressible air flows,even with
low Mach number (M

一 ATTEMPT,模仿冲击波使用 Boltzmann 等式(是）已经被 Mott 史密斯[1 〕使成为谁建议一个由两 Maxwellian 术语构成的双峰分布功能向描绘在 BE 中的分子的和冲突行为.那时的解决方案被为那里 ChapmanCEnskog[2〕膨 胀方法坚强震动,被使用重新蒙上 NavierCStokes(NS）等式把和一 BE 大概 在中的溶液比较.这接近用低被证明对于坚强震动的结构的仿真是令人满意 但是对于震动是并非成立缓和马赫 numbersM.Mott 史密斯接近的延长向前 低缓和 M 被 Salwen 等等尝试〔3〕.从那时起,做模特儿展示 BE 的尝试 已经被各种各样研究者制做；〔4〕那样由于 Bhatnagar 等等是在他们,一个 通常接受的模范中间,将来指定为 BGK 模式.的模范从它的平衡状态 feq 被 提名作仅单原子的气体和把粒子的偏离看作分布函数 f 是小.因此,分子的 和冲突的非线性的个性被用向描绘 BGK 假定被一 Maxwellian 散发的 feq 做的模型.方法(LBM）从这个的模范设计出的格子 Boltzmann 找到那里为单 原子的气体的状态方程式自动是满意的不可压缩的,等温的流动的仿真的成功 .它的延长,模仿即便有低马赫数(M