当前位置: X-MOL 学术Comput. Appl. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Evolution of $$C^{1}$$ C 1 -wave and its collision with the blast wave in one-dimensional non-ideal gas dynamics
Computational and Applied Mathematics ( IF 2.998 ) Pub Date : 2020-08-14 , DOI: 10.1007/s40314-020-01294-5
Rahul Kumar Chaturvedi , Pooja Gupta , Shobhit Kumar Srivastava , L. P. Singh

The aim of the present paper is to analyze the collision of discontinuity wave with blast wave in non-ideal gas flow through Lie group approach. The particular solution of the system of quasilinear hyperbolic PDEs, governing one-dimensional unsteady cylindrically symmetric motion in non-ideal gas, is obtained. The equation governing the evolutionary process of weak discontinuity in non-ideal gas is derived which is utilized to discuss the growth and decay process of the weak discontinuity. Furthermore, the collision of discontinuity wave with the blast wave is examined inside the state described by the exact solution of the blast wave. Also, the existence and uniqueness properties of reflection and transmission coefficients of the waves along with the discontinuity in the shock acceleration are discussed.

中文翻译:

一维非理想气体动力学中$$ C ^ {1} $$ C 1波的演化及其与爆炸波的碰撞

本文的目的是通过李群方法分析非理想气流中的不连续波与爆炸波的碰撞。得到了准线性双曲型PDEs系统的特殊解,它控制了非理想气体中的一维非定常圆柱对称运动。推导了控制非理想气体中弱不连续性演化过程的方程,该方程用于讨论弱不连续性的增长和衰减过程。此外,在由爆炸波的精确解所描述的状态内检查了不连续波与爆炸波的碰撞。此外,讨论了波的反射和透射系数的存在性和唯一性以及冲击加速度的不连续性。
更新日期:2020-08-14
down
wechat
bug