arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1407.6933astro-ph.HE
收藏

填充I型强爆炸的角密度扰动

Angular Density Perturbations to Filled Type I Strong Explosions

Almog Yalinewich, Re'em Sari

摘要:

本文推广了Sedov-Taylor-VonNeumann模型,使之能考虑到密度在角向和径向上的微小变化。我们假设密度分布由$ρ\left(r,θ,ϕ\right)=kr^{-ω}\left(1+\varepsilon\left(\frac{r}{r_{0}}\right)^{q}Y_{lm}\left(θ,ϕ\right)\right)$给出,其中$\varepsilon\ll1$和$ω\le\frac{7-γ}{γ+1}$。为了验证我们的结果,我们比较他们的解析近似和全流体动力学模拟。我们演示了如何使用这种方法来描述任意(不只是自相似)的角扰动。这项工作补充了我们以前的径向,球对称扰动的分析,并允许一个计算任意扰动的上游密度的爆炸的响应。他们一起解决了一个关于内边界条件的古老争论

英文摘要:

In this paper we extend the Sedov - Taylor - Von Neumann model for a strong explosion to account for small angular and radial variations in the density. We assume that the density profile is given by $ρ\left(r,θ,ϕ\right)=kr^{-ω}\left(1+\varepsilon\left(\frac{r}{r_{0}}\right)^{q}Y_{lm}\left(θ,ϕ\right)\right)$, where $\varepsilon\ll1$ and $ω\le\frac{7-γ}{γ+1}$. In order to verify our results we compare them to analytical approximations and full hydrodynamic simulations. We demonstrate how this method can be used to describe arbitrary (not just self similar) angular perturbations. This work complements our previous analysis on radial, spherically symmetric perturbations, and allows one to calculate the response of an explosion to arbitrary perturbations in the upstream density. Together, they settle an age old controversy about the inner boundary conditions

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。

↑