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 Investigation of Flood Routing Using Variable Parameter Kinematic Wave Model (VPKWM) for Non-Prismatic Natural Channel in an Ungauged Basin

2020 ◽  
Vol 10 (2) ◽  
pp. 111-118
Author(s):  
B. Bharali ◽  
U.K. Misra
Keyword(s):  
Variable Parameter ◽  
Wave Model ◽  
Flood Routing ◽  
Peak Time ◽  
Kinematic Wave ◽  
Ungauged Basin ◽  
Venant Equation ◽  
Channel Slope ◽  
Rainfall Runoff Model ◽  
Kinematic Wave Model

AbstractThis research concerns about the development and application of Variable Parameter Kinematic Wave Numerical model (VPKWM) based on 1-D Saint-Venant equation, to study the behaviour of the propagation of a flood wave in Non-prismatic natural waterways in an ungauged basin. The channel slope and wetted perimeter are considered as variable because of the irregularity of the boundary of the channel and the change in magnitude of discharge. The scarcity of reliable inflow data at upstream is a serious problem for the flood routing process in an ungauged basin. In this study the inflow hydrograph and lateral inflow hydrographs are obtained using SCS-CN method as rainfall runoff model. The performance of the model assessed considering four parameters such as root mean square error (RMSE), peak discharge, peak time and total volume. The results indicated that the VPKWM for non-prismatic channel provided reasonable output compared with the observed data.

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

Distributed modelling of urban runoff using a meta-channel concept

2010 ◽  
Vol 61 (11) ◽  
pp. 2707-2715 ◽  
Author(s):  
H. Kim ◽  
G. Pak ◽  
H. Jun ◽  
S. Kim ◽  
J. Yoon
Keyword(s):  
Wave Equation ◽  
Drainage System ◽  
Flood Routing ◽  
Urban Drainage ◽  
Two Dimensional ◽  
Pipe Network ◽  
Computational Accuracy ◽  
Diffusion Wave ◽  
Venant Equation ◽  
Urban Catchments

Hydraulic flood routing is advantageous for computational accuracy; however, it requires individual calculations of an extensive pipe network in the case of a two-dimensional analysis. In this study, a method for considering the characteristics of a two-dimensional pipe network has been developed using the meta-channel concept to simplify the detailed calculations involved in the estimation of runoff from urban catchments. In essence, the meta-channel concept turns a two-dimensional pipe network into a one-dimensional pipe with an effective hydraulic geometry. Once such geometry has been identified, the flood routing can then be performed for an urban drainage system. A nonlinear diffusion wave equation, derived from the Saint-Venant equation, was used for flood routing, with an explicit method used for the numerical solution. The celerity and diffusion coefficients, which are two parameters of the diffusion wave equation, were estimated for the Goonja drainage from a two-dimensional pipe network using the meta-channel concept. A comparison of the results of the meta-channel-based pipe routing with the distributed SWMM simulation and observed data, showed close similarities, and identified the applicability of the meta-channel concept in an urban drainage setting.

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