人民黄河2025，Vol.47Issue(4)：58-63,6.DOI:10.3969/j.issn.1000-1379.2025.04.010
基于Godunov格式的一维明渠水流运动数值模拟
Numerical Simulation of One-Dimensional Open Channel Flows Based on Godunov Scheme
摘要
Abstract
For the simulation of one-dimensional open channel hydrodynamics on complex terrain with supercritical flow,shockwave or transi-ent mixed super-subcritical flow,a complex open channel hydrodynamic model was developed based on the Saint-Venant equations in Go-dunov format by using the finite volume method.First of all,the HLL approximate Riemann solution was applied to calculate the interface flu-xes,meantime the spatial-temporal accuracy was improved to the second order by MUSCL scheme and Runge-Kutta method,while the flux results were replaced by the flux form in the continuity equations to ensure flux conservation.Besides,the water surface gradient was taken as the source term in equation then the bottom slope flux method was introduced to solve it.Last but not least,the frictional source term was treated by an explicit-implicit method that requires no iterations.The model was validated by four typical examples and the comparison results show that the model can simulate complex processes such as dam break and transient mixed super-subcritical flow very well,having good con-servation and adaptability.关键词
明渠水流/Godunov/有限体积法/数值模拟Key words
open channel flow/Godunov/finite volume method/numerical simulation分类
水利科学引用本文复制引用
梁鑫,侯精明,李东来,吕佳豪,荆海晓,王添,王明宇..基于Godunov格式的一维明渠水流运动数值模拟[J].人民黄河,2025,47(4):58-63,6.基金项目
国家自然科学基金资助项目(52079106,52009104) （52079106,52009104）
