二维非均匀水沙模型的多步特征-混合元数值模拟  

Multistep Characteristic-Mixed Finite Element Numerical Simulation For 2-d Non-Homogeneous Current and Silt Sedimentation Model

作　　者：李文涛[1] 刘明颖[1] 

机构地区：[1]南京理工大学泰州科技学院基础部,江苏泰州225300

出　　处：《数学的实践与认识》2014年第24期262-271,共10页Mathematics in Practice and Theory

摘　　要：通过对方程的对流部分采用沿着特征线方向向后两步差分格式进行离散,而对扩散部分采用混合有限元格式进行离散,从而利用多步特征-混合有限元方法对平面非均匀水沙模型进行了数值模拟,给出了相应的误差分析及数值算例.In this paper,we simulate the 2-d non-homogeneous current and silt sedimentation model by multistep characteristic-mixed finite element method.This method discretizes the convective terms of this model by multistep difference along characteristics finite element method and the diffusion terms by mixed finite element method.Theoretical analysis and numerical example show that this method is stable and the error estimates are rational.

关 键 词：混合有限元 特征有限元 水沙问题 

分 类 号：O241.82[理学—计算数学]