[1]高煜堃,陈红全,蒲赛虎.基于格点的非结构网格时域有限体积算法及其应用[J].南京理工大学学报(自然科学版),2014,38(04):550-557.
 Gao Yukun,Chen Hongquan,Pu Saihu.Cell-vertex finite-volume time-domain algorithm on unstructured grid and its applications[J].Journal of Nanjing University of Science and Technology,2014,38(04):550-557.
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基于格点的非结构网格时域有限体积算法及其应用
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
38卷
期数:
2014年04期
页码:
550-557
栏目:
出版日期:
2014-08-31

文章信息/Info

Title:
Cell-vertex finite-volume time-domain algorithm on unstructured grid and its applications
作者:
高煜堃陈红全蒲赛虎
南京航空航天大学 航空宇航学院,江苏 南京 210016
Author(s):
Gao YukunChen HongquanPu Saihu
College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
关键词:
时域有限体积 格点格式 非结构网格 面值重构 麦克斯韦方程 电磁场 计算流体力学 完全匹配层 雷达散射截面
Keywords:
finite-volume time-domain cell-vertex scheme unstructured grid physical quantity reconstruction Maxwell's equations electromagnetic field computational fluid dynamics perfectly matched layer radar cross section
分类号:
V218
摘要:
为了避免传统算法电磁场基于对偶网格交错采样的做法,发展了一种电磁场基于单一非结构网格格点的时域有限体积算法。该算法借鉴了计算流体力学的做法,结合求解麦克斯韦方程,空间离散采用Steger-Warming通量分裂,时间离散则按照四步Runge-Kutta格式推进求解。通量运算涉及的控制体表面物理量的面值采用函数逼近重构确定。文中给出了基于格点的面值函数逼近重构的具体实施方法。算例表明:面值重构改通常的线性函数逼近为二次函数逼近可提高计算精度; 由于算法是基于非结构网格的格点发展的,适合处理多体及多部件干扰等复杂情形。
Abstract:
In order to improve the traditional cell-vertex based methods,a cell-vertex finite-volume time-domain algorithm based on an unstructured grid is developed for solving the time-dependent Maxwell's equations,which results in that all physical quantities at each time step can be updated at the vertices of the same mesh cell without using auxiliary mesh like traditional methods.Referring to the approaches used in computational fluid dynamics,Steger-Warming flux-vector splitting is introduced in spatial discretization,and an explicit four-stage Runge-Kutta scheme is employed in time-marching.Physical quantities on the surface of control volumes related to the flux computation are determined by a function reconstruction,which is described in details in this paper.Numerical results show that the accuracy of physical quantities used for the flux calculation on the surface of each control volume is improved by using the quadratic function reconstruction instead of the traditional linear function reconstruction.Numerical examples also show that the presented method has the ability to accommodate complex geometries with multi-element or multi-component due to the use of cell vertices of the unstructured grid.

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备注/Memo

备注/Memo:
收稿日期:2012-12-13 修回日期:2013-09-11
基金项目:国家自然科学基金(11172134); 江苏高校优势学科建设工程资助项目
作者简介:高煜堃(1984-),男,博士生,主要研究方向:计算电磁学,E-mail:gaoyk1984@126.com; 通讯作者:陈红全(1962-),男,教授,博士生导师,主要研究方向:计算流体力学和计算电磁学,E-mail:hqchenam@nuaa.edu.cn。
引文格式:高煜堃,陈红全,蒲赛虎.基于格点的非结构网格时域有限体积算法及其应用[J].南京理工大学学报,2014,38(4):550-557.
投稿网址:http://zrxuebao.njust.edu.cn
更新日期/Last Update: 2014-08-31