摘要
因床面阻力项采用了经验公式,求解圣维南方程组前,须对糙率取值进行率定和验证。有学者认为经验公式只是临时性解决问题的手段,那么圣维南方程还有没有发展空间?由于三维Navier-Stokes方程积分得到圣维南方程的过程中,数学上不可避免地引入反映特定个体的河床边界条件信息,圣维南方程不再具有普适性,而采用带有待定系数的经验公式是圣维南方程组维持其“普适性”的必然选择。具有普适性的水流挟沙力公式形式应是张瑞瑾公式这一类具有待定系数和指数的经验公式。
The empirical formula is adopted for the bed resistance,the roughness value must be calibrated and verified by the observation data of the simulated river reach before solving the Saint Venant′s equations.Empirical formula is usually believed as a temporary means,question is raised for the further development of Saint Venant′s equations?It is demonstrated that information reflecting the specific riverbed boundary condition is injected to the Saint Venant′s equations in the integration process of three-dimensional Navier-Stokes equations,which means that Saint Venant′s equations are no longer universal.In order to remedy this defect,inevitable choice is to adopt empirical formulas with undetermined coefficients.From the perspective of scientific methodology,Saint Venant′s method of dealing with universality is scientific significance.It is of exemplary significance to similar problems in other disciplines.It is inferred that the universal sediment carrying capacity formula should be the empirical with undetermined coefficients and indexes as Zhang Ruijin′s formula.
作者
张小峰
ZHANG Xiao-feng(School of Water Resources and Hydroelectric Power Engineering,Wuhan University,Wuhan 430072,China)
出处
《泥沙研究》
CAS
CSCD
北大核心
2023年第5期75-80,共6页
Journal of Sediment Research
基金
长江水科学研究联合基金项目(U2240206)
关键词
圣维南方程
NAVIER-STOKES方程
水流挟沙力公式
科学方法论
Saint Venant′s equations
Navier Stokes equation
formula for sediment carrying capacity of water flow
scientific methodology
