Boussinesq and kinematic wave equation based catchment transport model

2015 ◽  
Author(s):  
M. Kuraz
Keyword(s):  
Wave Equation ◽  
Transport Model ◽  
Kinematic Wave ◽  
Kinematic Wave Equation

scholarly journals Applicability of Kinematic Wave Model for Flood Routing under Unsteady Inflow

Water ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 2528
Author(s):  
Hanwu Zheng ◽  
Er Huang ◽  
Ming Luo
Keyword(s):  
Wave Equation ◽  
Relative Error ◽  
Rectangular Channel ◽  
Numerical Results ◽  
Flood Routing ◽  
Wave Number ◽  
Kinematic Wave ◽  
Kinematic Wave Equation ◽  
Venant Equation ◽  
New Criterion

This study implemented kinematic wave and dynamic wave approximation of flood routing for a prismatic rectangular channel. The results of the two methods were compared by differences in maximum flow depth, and the applicability of kinematic wave equation was discussed. The influences of hydraulic and geometrical factors on the applicability of kinematic wave equation were considered. It was found that a portion of the numerical results violated existing criteria used to indicate the applicability of kinematic wave equation, particularly when geometrical and hydraulic factors were considered together. This is because the characteristics of upstream inflow were rarely or incompletely considered in these criteria. Therefore, the present study proposed a new criterion. The theoretical influence of all factors was considered using three parameters, namely, KF02, ηts/T0′ and Qbottom/Qpeak (K, F0, ηts, T0′, Qbottom, and Qpeak represent the kinematic wave number, Froude number, the time span of discharge exceeding 90% of maximum discharge in hydrograph, wave travel time in the channel, base flow discharge, and peak discharge, respectively, while the subscript 0 represent the value of reference discharge). The influences of these three parameters were illustrated by the momentum equation of one-dimensional Saint-Venant equation. The numerical results showed that the value of ηts/T0′ (KF02)D could be used to determine the relative error ξh of kinematic wave equation. In addition, for each Qbottom/Qpeak the value of ηts/T0′ (KF02)D used to depict the same relative error ξh was different. This new criterion was validated using two real case studies, and it showed a good performance.

scholarly journals PERFORMANCE OF RADIAL POINT INTERPOLATION METHOD IN SOLVING KINEMATIC WAVE EQUATION FOR HYDROLOGIC MODELLING

2020 ◽  
Vol 82 (3) ◽  
Author(s):  
H. Hirol ◽  
M. A. Mohd Noor ◽  
M. Z. Abd Jamil ◽  
M. H. Mokhtaram ◽  
E. H. Kasiman ◽  
...  
Keyword(s):  
Wave Equation ◽  
Interpolation Method ◽  
Kinematic Wave ◽  
Weighted Residual Method ◽  
Time Step ◽  
Radial Point Interpolation Method ◽  
Kinematic Wave Equation ◽  
Radial Point Interpolation ◽  
Point Interpolation Method ◽  
Point Interpolation

This paper presents the solution of the kinematic wave equation using a meshless radial point interpolation method (RPIM). The partial differential equation is discretized using a Galerkin weighted residual method employing RPIM shape functions. A forward difference scheme is used for temporal discretization, while the direct substitution method is employed to solve the nonlinear system at each time step. The formulation is validated against solutions from conventional numerical techniques and physical observation. In all cases, excellent agreements are achieved and hence the validation of the proposed formulation. Optimum values of the multi-quadrics shape parameters were then determined before the assessment of the performance of the method. Based on the convergence rate, it has been shown that the proposed method performs better than the finite difference method and equivalent to the finite element method. This highlights the potential of RPIM as an alternative method for hydrologic modeling.

scholarly journals Lumping of Kinematic Wave Equation Considering Field Capacity.

2002 ◽  
Vol 15 (1) ◽  
pp. 60-69 ◽  
Author(s):  
Yutaka ICHIKAWA ◽  
Yasuaki MURATA ◽  
Michiharu SHIIBA
Keyword(s):  
Wave Equation ◽  
Field Capacity ◽  
Kinematic Wave ◽  
Kinematic Wave Equation

scholarly journals LUMPING GENERAL KINEMATIC WAVE EQUATION OF SLOPE RUNOFF SYSTEM

2000 ◽  
Vol 44 ◽  
pp. 145-150 ◽  
Author(s):  
Yutaka ICHIKAWA ◽  
Toshihiro OGURA ◽  
Yasuto TACHIKAWA ◽  
Michiharu SHIIBA ◽  
Kaoru TAKARA
Keyword(s):  
Wave Equation ◽  
Kinematic Wave ◽  
Kinematic Wave Equation ◽  
Slope Runoff
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