摘要
将特征线方法和有限体积元方法结合起来,得到了全离散特征有限体积元方法,将这种方法运用到一维大气污染模型问题中,可以对大气污染过程进行数值模拟.选取试探函数空间为一次元函数空间,检验函数空间为分片常数函数空间,并对之进行误差分析,得到了L2误差估计,结果表明由这种方法得到的数值解具有更好的稳定性,并能有效地逼近精确解.
Combining the method of characteristics with the finite volume element method, we get a fully-discrete finite volume element method along characteristics. Applying this method to the problem of air pollution model in one dimension, we can simulate the process of air pollution. Choosing the trial function space as linear finite element function space and the test function space as piecewise constant function space, we made error analysis and got the error estimate of L2. Results show that the numerical solution obtained by this method has a better stability, and can approximate the exact solution effectively.
出处
《淮海工学院学报（自然科学版）》
CAS
2008年第2期1-4,共4页
Journal of Huaihai Institute of Technology:Natural Sciences Edition
基金
江苏省高校自然科学研究指导性计划项目(05KJD110108)
关键词
大气污染模型
特征线
有限体积元
误差估计
air pollution model
characteristics
finite volume element method
error estimation
