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 2107.02199astro-ph.SRphysics.flu-dyn
收藏

大质量恒星对流氦壳燃烧的多维低马赫数时间隐式流体动力学模拟

Multidimensional low-Mach number time-implicit hydrodynamic simulations of convective helium shell burning in a massive star

L. Horst, R. Hirschi, P. V. F. Edelmann, R. Andrassy, F. K. Roepke

摘要:

上下文恒星内部对流的多维流体动力学模拟是一个具有挑战性的数值模拟,特别是在低马赫数的流动。方法.我们探讨了使用低马赫流体动力通量求解器的好处,并证明了其在天体物理模拟的可用性。采用时间隐式的Seven-League Hydro(SLH)程序,基于25 M $_\odot$恒星模型,对氦壳层对流燃烧进行了多维数值模拟。用低马赫数AUSM $^{+}$ -up求解器得到的结果与用它的非低马赫数变型AUSM $_\mathrm{B}^{+}$ -up得到的结果进行了比较。我们应用了重力源项的良好平衡来维持初始的流体静力背景分层。计算网格具有从$180 \times 90^2$到$810 \times 540^2$细胞的分辨率,并且通过$3 \times 10^3$、$1 \times 10^4$和$3 \times 10^4$的因子来促进核能释放,以研究结果对这些参数的依赖性。结果增强的能量输入导致马赫数在$10^{-2}$到$10^{-3}$范围内的对流。标准混合长度理论(MLT)预测,如果不施加增压,对流速度约为$1.6 \times 10^{-4}$。用AUSM $^{+}$ -up进行的模拟表明,在动能谱中有一个类似于Kolmogorov的惯性范围,与它的非低马赫变体相比,它进一步向更小的尺度扩展。与AUSM $^{+}_{\mathrm{B}}$ -up相比,AUSM $^{+}$ -up求解器的动能耗散已经以较低的分辨率收敛。在对流区边界处提取的卷吸率很好地代表了散装理查森卷吸定律和相应的拟合参数与碳壳燃烧的结果一致。

英文摘要:

Context. Multidimensional hydrodynamic simulations of convection in stellar interiors are numerically challenging, especially for flows at low Mach numbers. Methods. We explore the benefits of using a low-Mach hydrodynamic flux solver and demonstrate its usability for simulations in the astrophysical context. The time-implicit Seven-League Hydro (SLH) code was used to perform multidimensional simulations of convective helium shell burning based on a 25 M$_\odot$ star model. The results obtained with the low-Mach AUSM$^{+}$-up solver were compared to results when using its non low-Mach variant AUSM$_\mathrm{B}^{+}$-up. We applied well-balancing of the gravitational source term to maintain the initial hydrostatic background stratification. The computational grids have resolutions ranging from $180 \times 90^2$ to $810 \times 540^2$ cells and the nuclear energy release was boosted by factors of $3 \times 10^3$, $1 \times 10^4$, and $3 \times 10^4$ to study the dependence of the results on these parameters. Results. The boosted energy input results in convection at Mach numbers in the range of $10^{-2}$ to $10^{-3}$. Standard mixing-length theory (MLT) predicts convective velocities of about $1.6 \times 10^{-4}$ if no boosting is applied. Simulations with AUSM$^{+}$-up show a Kolmogorov-like inertial range in the kinetic energy spectrum that extends further toward smaller scales compared with its non low-Mach variant. The kinetic energy dissipation of the AUSM$^{+}$-up solver already converges at a lower resolution compared to AUSM$^{+}_{\mathrm{B}}$ -up. The extracted entrainment rates at the boundaries of the convection zone are well represented by the bulk Richardson entrainment law and the corresponding fitting parameters are in agreement with published results for carbon shell burning.

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。

↑