Numerical Simulation of Positive Surge Moving Upstream
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Fig. 18 Variation of water depth with respect to longitudinal distance
Fig. 19 Variation of water velocity with respect to longitudinal distance
5.3.3 Plot of Water Velocity with Respect to Longitudinal Distance
See Fig. 19.
6 Summary and Conclusions
6.1 Summary
The partial differential equations whose analytical solution either does not exist or is
difficult to be solved may be done so by employing numerical solution techniques.
The finite different methods are useful in solving nonlinear partial differential equations such as “Saint-Venant equations.” The concept of characteristic curves is useful
in visualization of wave propagation and the development of the boundary conditions
for the case of explicit finite difference methods. In the present work, the MacCormack scheme is applied for analyzing one dimensional, unsteady open channel flow
problems.