摘要
离散地下水不稳定渗流方程的时间变量t,得到半离散差分格式,再用径向基函数配点法得到全离散格式,由此提出了达西速度的径向基函数计算方法,该方法较有限元法简单,节点配置较有限元和有限差分等方法灵活,在高维空间中比传统方法更具优势.模型试算表明,其相对误差到10-5,比目前精度较高的混合有限元法缩小103倍.
In this paper, radial basis functions are used to discretize the equation describing unsteady flow of groundwater. By the discretized formats, specific formulas are gotten to calculate Darcy's velocity. It is simpler and more flexible than the methods based on finite element or finite difference methods. The calculation of an example shows that its relative errors are 10^-3 that is about 10^-3 time of mixed finite element method.
出处
《辽宁师范大学学报(自然科学版)》
CAS
北大核心
2005年第4期396-398,共3页
Journal of Liaoning Normal University:Natural Science Edition
关键词
径向基函数
不稳定渗流
达西速度
radial basis functions
unsteady seepage
Darcy's velocity