基于地理坐标系的电磁环境快速仿真与体绘制

为有效考虑地球曲率的影响,采用球形规则网格模型组织电磁场数据。针对ITM(Irregular Terrain Model)模型计算量大的问题,提出一种地形重用方法提高仿真效率。针对多辐射源计算问题,将多线程计算和地形重用方法相结合,提高仿真效率。针对传统光线投射算法使用立方体作为包围盒,不能直接绘制球形规则网格数据问题,提出一种使用圆顶体作为包围盒的光线投射算法。经实验验证,考虑地形影响仍然能够获得较高的计算效率,满足多辐射源电磁环境仿真的需要,且圆顶体包围盒使光线投射算法的应用范围更加广泛。

Some recent advances on vertex centered finite volume element methods for elliptic equations

In this paper, we report our recent advances on vertex centered finite volume element methods （FVEMs） for second order partial differential equations （PDEs）. We begin with a brief review on linear and quadratic finite volume schemes. Then we present our recent advances on finite volume schemes of arbitrary order. For each scheme, we first explain its construction and then perform its error analysis under both HI and L2 norms along with study of superconvergence properties.