Solution of Kinematic Wave Equation using Finite Difference Method and Finite Element Method
kinematic wave, overland flow, channel flow, finite element method, crank-nicolson method., crank-nicolson method, Finite Element Method
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.
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(1975) Implicit Numerical Modeling of Unsteady Flows.
M. Amien, Chu, H. Div, Proc. ASCE (1970) Implicit Flood routing in Natural Channels. 101, 717-731.
M. Amien, C. Fang (1967) Hyd Div., Proc. 96(HY12), 2481-2500.
D. Brakensick Prediction: A Kinematics Application.
S. Cambell, J. Parlange, Rose (1984) Overland flow on converging and diverging surfaces - Kinematic model and similarity solutions. 67(1-4), 367-374. https://doi.org/10.1016/0022-1694(84)90252-x
B. Carnahan, H. Luther, J. Wilkes, Willy John (1969) Applied Numerical Methods. (1959).
V. Cow (1945) Storage and the Unit Hydrograph.
C. Clark (1973) Mathematical Models in Hydrology. 19.
R. Clarke (1976) T the United Nations, Irrigation and Drainage paper No. 19.
R. Cooley, S. Moin, J. Equations, Hyd, Div (1959) A General Theory of the Unit Hydrograph. 102, 759-775.
J. Dooge Geophysical Res., AUG. 64(2), 241-256.
J. DeVriesm, R. MacArthur (1979) Introduction and Application of Kinematics Wave Routing Techniques Using HEC-1.
Dooge, AUG J.C.I. Geophysical Res (1973) Linear Theory of Hydrologic Systems. 64(2), 241-256.
Dooge (1978) Mathematical Models of Hill slope Hydrology, in Hill slope. 1468, 327.
Freeze, R. Hydrology, eds M.J. Kirkby, John Wiley, New Sons Ltd (1989) Application of Kinematics Wave Theory to Small Watersheds.
M. Hossain Ph.D. Thesis.
I. King (1977) Finite Element Methods for Unsteady Flow Through Irregular Channels. 165-184.
B. Mathur Runoff Hydrographs for Uneven Spatial Distribution of Rainfall Ph.
Moore (1985) Kinematics Overland Flow: Generalization of Rose's approximate Solution. 82, 233-245.
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2013-06-05
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