Solution of Kinematic Wave Equation using Finite Difference Method and Finite Element Method

J.Ferdous Ema

Solution of Kinematic Wave Equation using Finite Difference Method and Finite Element Method

J.Ferdous Ema * §

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Solution of Kinematic Wave Equation using Finite Difference Method and Finite Element Method

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Abstract

The Various Numerical Methods are applied to solve the spatially varied unsteady flow equations (Kinematic Wave) in predicting the discharge, depth and velocity in a river. Solutions of Kinematic Wave equations through finite difference method (Crank Nicolson) and finite element method are developed for this study. The computer program is also developed in Lahey ED Developer and for graphical representation Tecplot 7 software is used. Finally some problems are solved to understand the method.

References

23 Cites in Article

Reference Format

Michael Amein,Hsiao-Ling Chu (1975). Implicit Numerical Modeling of Unsteady Flows.
Michael Amein,Ching Fang (1970). Implicit Flood Routing in Natural Channels.
D Brakensick (1967). A Simulated Watershed Flow System for Hydrograph Prediction: A Kinematics Application.
S Campbell,J-Y Parlange,C Rose (1984). Overland flow on converging and diverging surfaces — Kinematic model and similarity solutions.
B Carnahan,H Luther,J Wilkes (1969). Applied Numerical Methods.
V Cow (1959). Open channel Hydraulics.
C Clark (1945). Storage and the Unit Hydrograph.
R Clarke (1973). A review of some mathematical models used in hydrology, with observations on their calibration and use.
Richard Cooley,Syed Moin (1976). Finite Element Solution of Saint-Venant Equations.
James Dooge (1959). A general theory of the unit hydrograph.
J Devriesm,R Macarthur (1979). Introduction and Application of Kinematics Wave Routing Techniques Using HEC-1.
James Dooge (1969). A general theory of the unit hydrograph.
(1973). Economics of Marketing of Brinjal in Coimbatore District.
R Freeze (1978). The evolving continents by brian f. windley. john wiley & sons, ltd., chichester and new york 1977. price.
Pooja Barthwal,Rakesh Kumar,Akash Kumar (1989). RESPONSE OF MORINGA LEAVES EXTRACT ON THE GROWTH AND YIELD OF OKRA (ABELMOSCHUS ESCULENTUS L.).
J Nash (1957). The Form of Instantaneous Unit Hydrograph.
J Nash (1960). A UNIT HYDROGRAPH STUDY, WITH PARTICULAR REFERENCE TO BRITISH CATCHMENTS..
John Noye (1982). Finite Difference Techniques for Partial Differential Equations.
Donald Overton,Michael Meadows (1976). Stormwater Frequency Modeling.
J-Y Parlange,C Rose,G Sander (1981). Kinematic flow approximation of runoff on a plane: An exact analytical solution.
J Pederson,J Peters,O Helweg (1980). Hydrographs by Single Linear Reservoir Model.
A Randkivi (1979). Hydrology.
C Rose,J-Y Parlange,G Sander,S Campbell,D Barry (1983). Kinematic flow approximation to runoff on a plane: An approximate analytic solution.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

J.Ferdous Ema. 2013. "Solution of Kinematic Wave Equation using Finite Difference Method and Finite Element Method". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F6).

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GJSFR Volume 13 Issue F6

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

channel flow crank-nicolson method Finite Element Method kinematic wave overland flow

Classification

GJSFR-F Classification MSC 2010: 51J15

81R20

35R20

Submission ReceivedMay 27, 2013
Peer Review Double Blind
Handling Editor
Accepted June 19, 2013
Published July 4, 2013

Version of record

v1.2

Issue date

July 5, 2013

Language

English

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Article Matrices

Total Score: 151

Country: Bangladesh

Subject: Global Journal of Science Frontier Research

Authors: Dr. M. M. Hossain, J.Ferdous Ema (PhD/Dr. count: 1)

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Publish Date: 2013 07, Thu

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