大气污染模型沿特征线的有限体积元格式

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.

Finite Volume Element Methods along Characteristics for Air Pollution Model

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.