摘要
本文给出了一种在不规则四边形网格上求解地下水非稳定流方程的混合拉氏变换局部坐标有限分析格式。由于将时间ｔ直接包含在有限分析数值计算格式中，克服了传统数值法求解非稳定过程按时段迭代的缺陷，实现了非稳定过程计算的一步完成，提高了计算效率，这对多时段地下水资源管理和长期预报非常有用。经实例验证，本方法有很高的精度，与解析解吻合甚好。
Hybrid laplace transform finite analytic method using a nonuniform quadrilateral mesh is described for the numerical solution of the unsteady groundwater flow equations. Because time (t) is included in the finite analytic scheme, the shortcomings of iteration related to Δt in traditional numerical methods are overcome. We are able to perform the calculation of the unsteady process by using one-step instead of iteration related to Δt. The Computational efficiency is raised. This will make the multistage groundwater management for the optimum from the whole and the long-term prdeiction more convenient. The example shows that this method has good accuracy. The results are in good agreement with analytic solutions.
关键词
地下水
非稳定流方程
拉普拉氏变换
局部坐标
Unsteady Groundwater flow
Laplace transform
Local coordinate
Finite analytic method
