三分量磁场延拓的递推算法

计算物理 ›› 2010, Vol. 27 ›› Issue (5): 705-710.

三分量磁场延拓的递推算法

闫辉, 肖昌汉, 张朝阳, 朱兴乐

海军工程大学电气与信息工程学院, 湖北武汉 430033

收稿日期:2009-06-08 修回日期:2009-12-10 出版日期:2010-09-25 发布日期:2010-09-25
作者简介:闫辉(1978-),男,黑龙江五常,博士生,工程师,从事磁场溺量与计算.
基金资助:
国家海洋专项基金(9201807)资助项目

Iterative Method for Continuation of Three-component Magnetic Field

YAN Hui, XIAO Changhan, ZHANG Zhaoyang, ZHU Xingle

Electric & Information Engineering College, Naval University of Engineering, Wuhan 430033, China

Received:2009-06-08 Revised:2009-12-10 Online:2010-09-25 Published:2010-09-25

摘要/Abstract

摘要： 提出一种三分量磁场延拓的递推算法,主要目的是解决三分量磁场的向下延拓问题.应用微分学基本原理,将具有相同水平坐标,不同垂向坐标的点上的三分量磁场,通过磁场的垂向偏导数的积分联系起来.根据磁场向量散度和旋度的性质,将磁场的垂向偏导数与水平方向的偏导数联系起来.这样,在已知一个平面上的磁场时,可以通过递推的办法逐层求取该平面以下任意平面上的三分量磁场.应用实例证明方法的快速性和准确性.

关键词: 三分量磁场, 位场延拓, 边界单元法, 等效源法

Abstract: An iterative continuation method for three-component magnetic field is presented.It aims at downward continuation of three-component magnetic field.The fields on those points with same horizontal coordinates are related by differential calculus.As divergence and rotation of three-component magnetic field are taken into consideration,vertical derivatives can be described with horizontal derivatives.As three-component magnetic field on an upper plane is known,magnetic fields on lower planes can be computed with an iterative procedure.Efficiency and accuracy are illustrated by applications.

Key words: three-component magnetic field, continuation of potential field, boundary element method, equivalent source method

中图分类号:

P631

闫辉, 肖昌汉, 张朝阳, 朱兴乐. 三分量磁场延拓的递推算法[J]. 计算物理, 2010, 27(5): 705-710.

YAN Hui, XIAO Changhan, ZHANG Zhaoyang, ZHU Xingle. Iterative Method for Continuation of Three-component Magnetic Field[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(5): 705-710.