用于多普勒气体一维流动的保守差分方案
Conservative difference schemes for one-dimensional flows of polytropic gas
AI总结：
本文研究了多普勒气体一维流动的保守差分方案，针对不同空间维度下的气体动力学情况，提出具有额外守恒律的差分方案，特别针对绝热指数γ=1+1/d的特殊值。
摘要：
本文考虑了多普勒（ calorically ideal）气体的一维流动。这些流动包括三种气体动力学情况：一维空间中的平面一维流动、二维空间中的径向对称流动以及三维空间中的球面对称流动。从具有质量与能量守恒律（以及对于平面一维流动还具有动量和质量中心运动守恒）的差分方案出发，我们找到了具有额外守恒律的差分方案，这些守恒律适用于绝热指数γ=1+1/d的特殊值，其中d为空间维度。
英文摘要：
The paper considers one-dimensional flows of polytropic (calorically ideal) gas. These flows include three cases of gas dynamics: plain one-dimensional flows (one-dimensional space), radially symmetric flows in two-dimensional space and spherically symmetric flows in three-dimensional space. Starting with the difference schemes which have conservation laws of mass and energy (as well as conservation of momentum and the center of mass motion for the plain one-dimensional flows), we find difference schemes which also have additional conservation laws for the special values of the adiabatic exponent $γ= 1 + 1 /d $, where $d$ is the space dimension.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
