柱面坐标系下辐射传递方程的正保持统一气体动力学格式

IF 3 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Yi Wang , Shuang Tan , Guoxi Ni , Yanli Wang
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引用次数: 0

摘要

辐射传递方程在惯性约束聚变研究中具有重要意义。圆柱形结构通常用于ICF研究,例如在国家点火设施。因此,我们重点研究柱坐标下rte的数值格式。在统一气体动力学格式(UGKS)的基础上,提出了一种正保持和渐近保持格式。首先,采用分裂策略将RTEs中的动力学方程分解为旋转部分和输运-吸收部分。旋转部分用正保持半拉格朗日方法求解。通过建立时间演化求解器与更新公式之间的等价关系,导出了输运吸收部分的正保持格式。与以往的研究相比,我们的方案可以在空间和速度空间中实现任意高阶重建,同时保持正保持性。此外,还证明了该方法的渐近保持性质。各种数值实验证明了该方案的高阶精度、正保持性和渐近保持性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A positive-preserving unified gas-kinetic scheme for radiative transfer equations in cylindrical coordinates
The radiative transfer equations (RTEs) are important in the study of inertial confinement fusion (ICF). Cylindrical configurations are commonly employed in ICF studies, such as at the National Ignition Facility. Therefore we focus on numerical schemes for RTEs in cylindrical coordinates. Based on the unified gas-kinetic scheme (UGKS), a positive-preserving and asymptotic-preserving scheme is proposed. First, the kinetic equation in RTEs is decomposed into the rotation part and the transport-absorption part using a splitting strategy. The rotation part is solved using the positive-preserving semi-Lagrangian method. The positive-preserving scheme for the transport-absorption part is derived by establishing the equivalence between the time evolution solver and the update formula. Compared to previous studies, our scheme enables arbitrarily high-order reconstruction in both spatial and velocity spaces while preserving the positive-preserving property. Additionally, the asymptotic-preserving property is proven. Various numerical experiments confirm the high-order accuracy, positive-preserving property, and asymptotic-preserving property of our scheme.
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来源期刊
Computers & Fluids
Computers & Fluids 物理-计算机:跨学科应用
CiteScore
5.30
自引率
7.10%
发文量
242
审稿时长
10.8 months
期刊介绍: Computers & Fluids is multidisciplinary. The term ''fluid'' is interpreted in the broadest sense. Hydro- and aerodynamics, high-speed and physical gas dynamics, turbulence and flow stability, multiphase flow, rheology, tribology and fluid-structure interaction are all of interest, provided that computer technique plays a significant role in the associated studies or design methodology.
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