摘要
提高畦灌施肥地表水流与溶质运移数值模型的稳定性、收敛性及计算精度,有利于改善地面畦灌施肥系统的设计与评价工作。在利用隐-显混合时间格式对一维畦灌地表水流与溶质运移耦合模型中包含的各矢量项进行时间离散基础上,借助有限差分法、有限体积法和有限单元法分别对由隐时间格式生成的物理矢量线性近似式空间导数、物理矢量空间导数、溶质扩散矢量和地形矢量项进行空间离散,对最终形成的控制方程代数方程组进行数值求解,构建起基于混合数值解法的一维畦灌施肥地表水流与溶质运移耦合模型。
Improvement of stability,convergence and computational efficiency in numerical modeling of surface water flow and solute transport for border fertigation is useful to design and evaluation of border fertigation systems.In this study,a one-dimensional model for coupling surface water flow with solute transport for border fertigation is developed and presented.The model is based on the implicit-explicit time scheme,and uses the finite-difference method,the finite-volume method,and the finite-element method to discretize the space derivative of the physical flux vector linear approximation,the space derivative of the physical flux vector,the solute diffusion vector and the bottom element vector.The governing equations for the model can thus be solved numerically.
出处
《水科学进展》
EI
CAS
CSCD
北大核心
2011年第2期189-195,共7页
Advances in Water Science
基金
国家高技术研究发展计划(863)资助项目(2006AA100210)
国家自然科学基金资助项目(50909100)
中国水利水电科学研究院科研专项项目(节集1038)~~
关键词
畦灌施肥
混合数值解法
耦合
水流运动
溶质运移
时空离散
border fertigaion
hybrid numerical method
coupled
water flow
solute transport
time-space discretization
