采用Godunov格式的有限体积法建立了模拟复杂明渠水流运动的高适用性数学模型。模型利用HLL格式的近似Riemann解计算界面通量。为了获得更高的分辨率,采用TVD-MUSCL格式和Hancock格式将计算格式的整体精度提高到二阶,并且采用通量替换的方法保证了计算格式的守恒性。通过物理模型试验资料对数学模型进行了验证,结果表明该模型能准确地模拟各种复杂的明渠水流运动,具有良好的稳定性和适用性。
A widely adaptable finite-volume numerical model based on Godunov method was proposed for simulating complicated open channel flows.In the model the HLL approximate Riemann solution was used to calculate the flow flux,the TVD-MUSCL format and the Hancock format were used to achieve second order accuracy.In order to keep the conservative property,the flux displacement method was used in the model.The validity and adaptability of the proposed model are verified by experimental data of physical model.