Holian Brad Lee, Mareschal Michel
Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Aug;82(2 Pt 2):026707. doi: 10.1103/PhysRevE.82.026707. Epub 2010 Aug 31.
We present an equation for the heat-flux vector that goes beyond Fourier's Law of heat conduction, in order to model shockwave propagation in gases. Our approach is motivated by the observation of a disequilibrium among the three components of temperature, namely, the difference between the temperature component in the direction of a planar shock wave, versus those in the transverse directions. This difference is most prominent near the shock front. We test our heat-flow equation for the case of strong shock waves in the ideal gas, which has been studied in the past and compared to Navier-Stokes solutions. The new heat-flow treatment improves the agreement with nonequilibrium molecular-dynamics simulations of hard spheres under strong shockwave conditions.
我们提出了一个超越傅里叶热传导定律的热通量矢量方程，用于模拟气体中的激波传播。我们的方法是基于对温度三个分量之间不平衡的观察，即平面激波方向上的温度分量与横向温度分量之间的差异。这种差异在激波前沿附近最为显著。我们针对理想气体中强激波的情况测试了我们的热流方程，过去已经对这种情况进行过研究并与纳维-斯托克斯解进行了比较。新的热流处理方法改善了与强激波条件下硬球非平衡分子动力学模拟的一致性。
