论文标题
一种新型的多维Boltzmann中微子运输方案，用于核心偏转超新星
A Novel Multi-Dimensional Boltzmann Neutrino Transport Scheme for Core-Collapse Supernovae
论文作者
论文摘要
我们引入了一种新的离散方案，用于在核心偏离超新星的背景下解决一般相对论的玻尔兹曼传输方程。我们的算法避免了需要在传输方程式以球形极性坐标，在共同的框架中或一般相对论的时空中配制传输方程时出现的复杂的对流术语。相反，我们通过使用直觉粒子样方法来计算中微子在动量空间中的对流来解决问题，该方法具有出色的保护特性，并充分说明了Lorentz的提升，一般相对论效应和网格几何学项。为了避免需要全局隐式解决方案，使用局部隐含的Lax-Wendroff方案进行时间积分，该方案正确地重现了扩散极限。这将促进我们的方法在大规模平行的分布式内存架构上使用。我们已经用球形对称性和轴对称性中的一系列测试问题验证了我们方案的准确性和稳定性。为了证明新算法在核心偏离超新星模拟中稳定起作用，我们将其与一般相对论的流体动力学代码椰子椰子结合起来，并首次演示了2000万美元\ odot $祖细胞的首次演示，其中降低了中性中心的良心。
We introduce a new discrete-ordinate scheme for solving the general relativistic Boltzmann transport equation in the context of core-collapse supernovae. Our algorithm avoids the need to spell out the complicated advection terms in energy and angle that arise when the transport equation is formulated in spherical polar coordinates, in the comoving frame, or in a general relativistic spacetime. We instead approach the problem by calculating the advection of neutrinos across momentum space using an intuitive particle-like approach that has excellent conservation properties and fully accounts for Lorentz boosts, general relativistic effects, and grid geometry terms. In order to avoid the need for a global implicit solution, time integration is performed using a locally implicit Lax-Wendroff scheme that correctly reproduces the diffusion limit. This will facilitate the use of our method on massively parallel distributed-memory architectures. We have verified the accuracy and stability of our scheme with a suite of test problems in spherical symmetry and axisymmetry. To demonstrate that the new algorithm works stably in core-collapse supernova simulations, we have coupled it to the general relativistic hydrodynamics code CoCoNuT and present a first demonstration run of a $20M_\odot$ progenitor with a reduced set of neutrino opacities.
