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Multilevel plane wave time domain-based global boundary kernels for two-dimensional finite difference time domain simulations

机译:基于多层平面波时域的全局边界核用于二维有限差分时域仿真

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摘要

Time domain boundary integrals are used to impose global transparent boundary conditions in two-dimensional finite difference time domain solvers. Augmenting classical methods for imposing these conditions with the multilevel plane wave time domain 5 scheme reduces the computational cost of enforcing a global transparent boundary condition from O(N~(s~2)N~(t~2)} to O(N~sN~t log N~s log N~t); here N~s and N~t denote the number of equivalent source boundary nodes and their time samples used to integrate external fields, respectively. Numerical results demonstrate that for thin and concave material objects, plane wave time domain-accelerated global transparent boundary kernels outperform perfectly matched layer-based absorbing boundary schemes without loss of accuracy.
机译:时域边界积分用于在二维有限差分时域求解器中施加全局透明边界条件。使用多级平面波时域5方案增强用于强加这些条件的经典方法可以降低从O(N〜(s〜2)N〜(t〜2)}到O(N〜 sN〜t log N〜s log N〜t);这里N〜s和N〜t分别表示等效源边界节点的数量及其用于整合外场的时间样本。数值结果表明,对于薄壁和凹壁材料物体,平面波时域加速的全局透明边界核的性能优于完全匹配的基于图层的吸收边界方案,而不会降低精度。

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