为研究地表滴灌条件下的土壤水分分布特征和运动规律,构建了基于二维Richards方程的土壤水分运动数值模型TIVS(Tsinghua Integrated Variably Saturated soil water movement model).将Richards方程空间半离散后利用CVODE常微分方程求...为研究地表滴灌条件下的土壤水分分布特征和运动规律,构建了基于二维Richards方程的土壤水分运动数值模型TIVS(Tsinghua Integrated Variably Saturated soil water movement model).将Richards方程空间半离散后利用CVODE常微分方程求解器进行求解,改进了地表滴灌积水动边界的处理方法,提高了数值求解稳定性和计算效率,模拟结果能保持良好的水量平衡.数值模拟检验和试验验证结果表明,模型具有较高的模拟精度,可用于地表滴灌复杂边界条件下的土壤水分运动长期模拟.展开更多
A numerical model of two-dimensional soil water movement under surface drip irrigation condition was developed. The physical process of soil water movement is described by 2D Richards equation,and the upper boundary c...A numerical model of two-dimensional soil water movement under surface drip irrigation condition was developed. The physical process of soil water movement is described by 2D Richards equation,and the upper boundary condition is depicted by the improved moving ponded area boundary. The partial differential equation(PDE) is transformed into ordinary differential equations(ODEs) through spatial semi-discretization and numerically solved by an ordinary differential equation solver(CVODE) . The numerical and field experiments indicate the good performance of the model in terms of accuracy and efficiency. The model provides a useful tool for long-term simulation of soil water movement under surface drip irrigation. Also,the model can serve as a general 2D Richards equation solver for variably saturated soil water movement,which is named as TIVS model(Tsinghua Integrated Variably Saturated soil water movement model).展开更多
文摘为研究地表滴灌条件下的土壤水分分布特征和运动规律,构建了基于二维Richards方程的土壤水分运动数值模型TIVS(Tsinghua Integrated Variably Saturated soil water movement model).将Richards方程空间半离散后利用CVODE常微分方程求解器进行求解,改进了地表滴灌积水动边界的处理方法,提高了数值求解稳定性和计算效率,模拟结果能保持良好的水量平衡.数值模拟检验和试验验证结果表明,模型具有较高的模拟精度,可用于地表滴灌复杂边界条件下的土壤水分运动长期模拟.
基金supported by the "Eleventh Five-year Plan" Project (Grant No.2007BAD38B01)
文摘A numerical model of two-dimensional soil water movement under surface drip irrigation condition was developed. The physical process of soil water movement is described by 2D Richards equation,and the upper boundary condition is depicted by the improved moving ponded area boundary. The partial differential equation(PDE) is transformed into ordinary differential equations(ODEs) through spatial semi-discretization and numerically solved by an ordinary differential equation solver(CVODE) . The numerical and field experiments indicate the good performance of the model in terms of accuracy and efficiency. The model provides a useful tool for long-term simulation of soil water movement under surface drip irrigation. Also,the model can serve as a general 2D Richards equation solver for variably saturated soil water movement,which is named as TIVS model(Tsinghua Integrated Variably Saturated soil water movement model).
