Operator-based preconditioning for the 2-D 3-T energy equations in radiation hydrodynamics simulations
Operator-based preconditioning for the 2-D 3-T energy equations in radiation hydrodynamics simulations
复制标题
辐射流体动力学模拟中 2-D 3-T 能量方程的基于算子的预处理
DOI：
10.1016/j.jcp.2019.01.043
复制
发表时间：
2019-05
影响因子：
4.1
通讯作者：
贾晓伟
中科院分区：
文献类型：
--
作者：
安恒斌;莫则尧;徐小文;贾晓伟
二维三温能量方程是一类描述电子与光子或离子之间能量扩散和交换的强非线性方程组。在多物理场模拟中，能量的扩散和交换过程与其他物理过程（如流体动力学）耦合。通常，拉格朗日方法用于辐射流体动力学模拟。因此，3-T能量方程应在变形网格上离散，变形网格随动力学运动。在二维变形网格中，三维能量方程的离散必须采用九点格式。由于能量扩散和交换系数与温度的非线性依赖性，以及某些物理参数在材料界面上的不连续性，使得求解多物理场和多材料应用中的离散非线性代数方程组成为一个挑战。采用Newton-Krylov方法求解离散化的二维三温能量方程。根据方程的物理性质和特点，构造了四类基于算子的预条件子。数值结果表明，本文所考虑的所有预处理方法都是非常有效的。
Two-dimensional three-temperature (2-D 3-T) energy equations are a type of strongly nonlinear system that describe the energy diffusion and exchange between an electron and a photon or ion. In multi-physics simulations, the process of energy diffusion and exchange is coupled with some other physical processes, such as fluid dynamics. Typically, the Lagrangian method is employed in radiation hydrodynamics simulations. Consequently, the 3-T energy equations should be discretized on deforming meshes, which are moved with dynamics. In 2-D deforming meshes, a nine-point scheme must be employed to discretize the 3-T energy equations. Because the energy diffusion and swapping coefficients are strongly nonlinearly dependent on the temperature, and some physical parameters are discontinuous across the material interfaces, it is a challenge to solve the discretized nonlinear algebraic equations in multi-physics and multi-material applications. A Newton-Krylov method is used to solve the discretized 2-D 3-T energy equations. Based on the physical properties and the characteristics of the equations, four types of operator-based preconditioners are constructed. Numerical results show that all the preconditioning methods considered in this study are very effective.
登录
查看更多内容
DOI：
10.1137/060652749
发表时间：
2008-04
期刊：
SIAM J. Numer. Anal.
影响因子：
--
作者：
P. Brown;H. Walker;Rebecca Wasyk;C. Woodward
通讯作者：
P. Brown;H. Walker;Rebecca Wasyk;C. Woodward
影响因子：
4.1
作者：
P. Brown;D. Shumaker;C. Woodward
通讯作者：
P. Brown;D. Shumaker;C. Woodward
DOI：
--
发表时间：
2012
期刊：
Chinese Journal of Computational Physics
影响因子：
--
作者：
An Hengbin;Mo Ze-yao
通讯作者：
An Hengbin;Mo Ze-yao
DOI：
10.1016/j.jcp.2009.02.004
发表时间：
2009-05
期刊：
J. Comput. Phys.
影响因子：
--
作者：
T. Chisholm;D. Zingg
通讯作者：
T. Chisholm;D. Zingg
影响因子：
1.2
作者：
V. Mousseau;D. Knoll
通讯作者：
V. Mousseau;D. Knoll