论文标题

关于经典和人造粘度法下等温声冲击的结构:选定的案例研究

On the structure of isothermal acoustic shocks under classical and artificial viscosity laws: Selected case studies

论文作者

Carillo, Sandra, Jordan, Pedro M.

论文摘要

假设牛顿的冷却定律,根据四种不同的粘度定律研究了等温声冲击的传播和结构。采用分析方法和数值方法,得出和分析了速度和密度场的1D行动波解决方案。对于每个考虑的粘度定律,都确定了冲击厚度和不对称度量的表达式。并且,为了确保等温流是可以实现的,使用能量方程的等温版本得出/计算了关联的MACH数值上的上限。

Assuming Newton's law of cooling, the propagation and structure of isothermal acoustic shocks are studied under four different viscosity laws. Employing both analytical and numerical methods, 1D traveling wave solutions for the velocity and density fields are derived and analyzed. For each viscosity law considered, expressions for both the shock thickness and the asymmetry metric are determined. And, to ensure that isothermal flow is achievable, upper bounds on the associated Mach number values are derived/computed using the isothermal version of the energy equation.

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