摘要
采用高精度的有限差分法和有限体积法对一维Richards方程进行时空离散,构建基于四阶时空离散精度数值解法的畦灌一维土壤水动力学模型,并进行验证。结果表明,基于四阶时空离散精度数值解法的畦灌一维土壤水动力学模型具有更佳的模拟精度和良好的质量守恒性,收敛速率比对比数值解法提高了1倍,计算效率提高了0.6倍。
One-dimensional soil water dynamic model under the border irrigation based on the method of fourth-order temporal-spatial discretization accuracy was constructed on the basis of temporal-spatial discretization of one-dimensional Riehards equation using the finite volume method and finite difference method, and the model was verified according to the soil column experiments. The results indicated that the established numerical solution method presented better simulated precision and satisfactory mass balance performance, whose convergence rate increased by about 100% and computational efficiency was improved a bout 0.6 times compared to commonly numerical solution method.
出处
《灌溉排水学报》
CSCD
北大核心
2013年第5期1-6,共6页
Journal of Irrigation and Drainage
基金
国家863计划重点项目课题(2011AA100505)
国家科技计划课题(2012BAD08B01)
关键词
土壤水
四阶精度
有限体积法
时空离散
收敛速率
soil water
fourth-order accuracy
temporal-spatial discretization
convergence rate
computational efficiency