Efficient Analysis of Scattering by Multiple Moving Objects Using a Tailored MLFMA
Efficient Analysis of Scattering by Multiple Moving Objects Using a Tailored MLFMA
复制标题
使用定制的 MLFMA 有效分析多个移动物体的散射
DOI：
10.1109/tap.2019.2891226
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发表时间：
2019-01
影响因子：
5.7
通讯作者：
Chan C. H.
中科院分区：
文献类型：
--
作者：
Zhang H. L.;Sha Y. X.;Guo X. Y.;Xia M. Y.;Chan C. H.
在这篇文章中，我们提出了一种量身定制的多层快速多极子算法（MLFMA），用于有效地分析多个移动目标的散射。对于多个运动目标，传统的MLFMA存在两个主要问题。一种是目标的相对位置和姿态随时间变化，在每个仿真时刻都要重新划分求解区域，重新填充矩阵元素。另一个是我们必须对运动目标反复求解矩阵方程。为了减轻这两个负担，我们采用固定的分组方案，在使用MLFMA的单个对象，这是不变的，因为对象是移动的。使用分组方案，近交互是不变的，并且当对象处于运动中时，大多数远交互是可重用的。即使多个目标的总体尺寸发生变化，MLFMA的级别数量也保持不变。对象之间的相互作用通过八叉树最高层的坐标变换来表达。为了加快迭代求解速度，稀疏近似逆预条件。数值结果表明，对于连续模拟一组目标的机动过程，节省了大量的CPU时间。
In this communication, we present a tailored multilevel fast multipole algorithm (MLFMA) for efficient analysis of scattering by multiple moving objects. There are two major issues with the conventional MLFMA for multiple moving targets. One is that the relative positions and attitudes of the targets change with time and we have to remesh the solution domain and refill the matrix elements at each simulation moment. The other is that we have to solve the matrix equations repeatedly for the moving targets. To alleviate these two burdens, we adopt the stationary grouping scheme in using the MLFMA for individual object, which is unchanged as the object is moving. With the grouping scheme, the near interactions are invariant, and most far interactions are reusable when the objects are in motions. The number of levels of MLFMA remains the same even if the overall dimension of the multiple targets is changing. The interactions between objects are expressed via coordinate transforms at the highest levels of their octrees. To accelerate the iterative solutions, the sparse approximate inverse preconditioner is incorporated. Numerical results show that the saving of CPU time is substantial for continuous simulations of a maneuvering process of a group of targets.
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