Quadratic Shepard插值法在TPC探测器电场计算中的应用

Application of Quadratic Shepard Interpolation Method to Electric Field Calculation of TPC Detector

获得准确、连续性好的电场分布数据是开展时间投影电离室(TPC)探测器模拟计算的重要基础。本文基于常用的有限元程序ANSYS,实现了TPC探测器3D电场计算及电场数据在探测器模拟程序GARFIELD中的读入。采用Quadratic Shepard插值法,对电场数据进行了插值处理。计算结果表明,Quadratic Shepard插值法能在周围插值点分布极端不均匀情况下获得较为准确的结果。Quadratic Shepard插值法解决了GARFIELD程序对有限元计算中元素单元类型的依赖问题,适用于包含细丝等复杂结构的TPC探测器的3D电场计算及模拟优化。

The accurate electric field data with good continuous distribution are critical to simulate time project chamber(TPC)detectors.In this paper,ANSYS program was used to calculate the 3D electric field of TPC detector,and GARFIELD,a famous simulation program for gas detectors,was modified to read the electric field data.And then the electric field data were processed by Quadratic Shepard interpolation method.The results show that Quadratic Shepard interpolation method can help to obtain accurate interpolation results for the positions surrounded with extremely inhomogeneous distributed nodes.The Quadratic Shepard interpolation method can release the dependence of GARFIELD simulation on element types in FEA calculation,and it works well in 3D electric field calculation and simulation for complex TPC detectors with wire electrodes.