arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.11606physics.comp-ph
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高效光滑粒子辐射流体力学I:热辐射转移

Efficient smoothed particle radiation hydrodynamics I: Thermal radiative transfer

Brody R. Bassett, J. Michael Owen, Thomas A. Brunner

摘要:

本文提出了光滑粒子流体动力学离散化中辐射转移的有效求解方法。影响效率的两个选择是如何耦合材料和辐射能量,这决定了收敛发射源所需的迭代次数,以及如何求解辐射扩散方程,这必须在每次迭代中完成。耦合的材料和辐射能量方程求解使用不精确的牛顿迭代方案的基础上非线性消除,这减少了牛顿迭代收敛所需的每个时间步长内的数量。在每次牛顿迭代过程中,使用Krylov迭代方法和多重网格预处理器求解辐射扩散方程,该预处理器在并行运行时抽象和优化了大部分通信。该代码验证了一个无限介质问题,一维Marshak波,和一个二维和三维制造的问题,并表现出一阶收敛时间和二阶收敛空间。对于这些问题,收敛不精确牛顿格式和扩散方程所需的迭代次数与空间点的数量和处理器的数量无关。

英文摘要:

This work presents efficient solution techniques for radiative transfer in the smoothed particle hydrodynamics discretization. Two choices that impact efficiency are how the material and radiation energy are coupled, which determines the number of iterations needed to converge the emission source, and how the radiation diffusion equation is solved, which must be done in each iteration. The coupled material and radiation energy equations are solved using an inexact Newton iteration scheme based on nonlinear elimination, which reduces the number of Newton iterations needed to converge within each time step. During each Newton iteration, the radiation diffusion equation is solved using Krylov iterative methods with a multigrid preconditioner, which abstracts and optimizes much of the communication when running in parallel. The code is verified for an infinite medium problem, a one-dimensional Marshak wave, and a two and three-dimensional manufactured problem, and exhibits first-order convergence in time and second-order convergence in space. For these problems, the number of iterations needed to converge the inexact Newton scheme and the diffusion equation are independent of the number of spatial points and the number of processors.

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