|Table of Contents|

Cell-vertex finite-volume time-domain algorithm on unstructured grid and its applications

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2014年04期
Page:
550-557
Research Field:
Publishing date:

Info

Title:
Cell-vertex finite-volume time-domain algorithm on unstructured grid and its applications
Author(s):
Gao YukunChen HongquanPu Saihu
College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
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
PACS:
V218
DOI:
-
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.

References:

[1] 苏敏,陈刚,童创明.FVTD在电磁散射问题中的应用[J].航天电子对抗,2008,24(3):56-58.
Su Min,Chen Gang,Tong Chuangming.Application of FVTD method in CEM problems[J].Aerospace Electronic Warfare,2008,24(3):56-58.
[2]Yee K S.Numerical solution of initial boundary value problems involving Maxwell equations in isotropic media[J].IEEE Transactions on Antennas Propagation,1966,14(3):302-307.
[3]钱志华,陈如山,杨宏伟.等离子体覆盖单极子天线的FDTD分析[J].南京理工大学学报,2005,29(5):510-513.
Qian Zhihua,Chen Rushan,Yang Hongwei.FDTD analysis of monopole antenna covered by plasma[J].Journal of Nanjing University of Science and Technology,2005,29(5):510-513.
[4]吴莹,倪晓武,陈建平.用PLRC-FDTD法计算微波在激光等离子体中的反射和透射系数[J].南京理工大学学报,2010,34(2):257-261.
Wu Ying,Ni Xiaowu,Chen Jianping.PLRC-FDTD simulation of microwave reflection and transmission coefficients in laser-induced-plasma[J].Journal of Nanjing University of Science and Technology,2010,34(2):257-261.
[5]刘昆,郭在华.介质圆柱的单站微波成像方法[J].电波科学学报,2011,26(3):562-566.
Liu Kun,Guo Zaihua.A near-field monostatic microwave imaging method for dielectric cylinder[J].Chinese Journal of Radio Science,2011,26(3):562-566.
[6]聂纯,汪连栋,何洪涛.RCS数值计算的时域有限体积方法[J].雷达与对抗,2006(1):21-25,47.
Nie Chun,Wang Liandong,He Hongtao.The finite-volume method in time-domain for the numerical calculation of RCS[J].Radar & Ecm,2006(1):21-25,47.
[7]Shi Yan,Liang Changhong.The finite-volume time-domain algorithm using least square method in solving Maxwell's equations[J].Journal of Computational Physics,2007,226:1444-1457.
[8]邓聪,尹文禄,柴舜连,等.非结构网格FVTD中二次函数重构技术用于电磁计算[J].微波学报,2009,25(6):38-42.
Deng Cong,Yin Wenlu,Chai Shunlian,et al.FVTD algorithm on unstructured meshes using quadratic polynomial reconstruction for 3D computational electromagnetics[J].Journal of Microwaves,2009,25(6):38-42.
[9]Andersson U.Time-domain methods for the Maxwell equations[D].Stockholm,Sweden:Department of Numerical Analysis and Computer Science,Royal Institute of Technology,2001.
[10]Deore N,Chatterjee A.A cell-vertex finite volume time domain method for electromagnetic scattering[J].Progress in Electromagnetics Research M,2010,12:1-15.
[11]朱自强.应用计算流体力学[M].北京:北京航空航天大学出版社,1998.
[12]Ma Zhihua,Chen Hongquan,Wu Xiaojun.A gridless-finite volume hybrid algorithm for Euler equations[J].Chinese Journal of Aeronautics,2006,19(4):286-294.
[13]许勇,乐嘉陵.基于CFD的电磁散射数值模拟[J].空气动力学学报,2004,22(2):185-189.
Xu Yong,Le Jialing.CFD-based numerical simulation of electromagnetic scattering[J].Acta Aerodynamica Sinica,2004,22(2):185-189.
[14]高煜堃,陈红全,蒲赛虎.麦克斯韦方程时域无网格算法及其应用研究[J].电波科学学报,2013,28(6):1013-1020.
Gao Yukun,Chen Hongquan,Pu Saihu.Meshless time-domain method and its applications for solving Maxwell's equations[J].Chinese Journal of Radio Science,2013,28(6):1013-1020.
[15]Hallerod T,Rylander T.Electric and magnetic losses modeled by a stable hybrid with explicit-implicit time-stepping for Maxwell's equations[J].Journal of Computational Physics,2008,227:4499-4511.
[16]葛德彪,闫玉波.电磁波时域有限差分方法[M].西安:西安电子科技大学出版社,2005.
[17]Guo Tongqing,Lu Zhiliang.N-S equation calculations on multi-element airfoils with zonal patched grids[J].Transactions of Nanjing University of Aeronautics & Astronautics,2003,20(2):155-158.
[18]余雄庆,杨景佐.关于低RCS目标外形优化中目标函数的确定[J].航空学报,1997,18(1):108-111.
Yu Xiongqing,Yang Jingzuo.Discussion on objective functions for optimum design of low RCS aircraft configuration[J].Acta Aeronautica et Astronautica Sinica,1997,18(1):108-111.

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Last Update: 2014-08-31