Numerical Solution of Flood Prediction And River Regulation Problems I Derivat
Numerical Solution of Flood Prediction And River Regulation Problems I Derivat
James Johnston Stoker
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Such that v is everywhere less than the \-jo. Vc speed Jgy --it is possible to prescribe only onc_ condition along the t-axis, which might be cither the velocity V or the depth y, in contrast with th. :^ necessity to impose two con'^. Itions along the x-axls. This fact would become obvious en setting up the finite difference scheme, and examples of it will be seen in later reports. Finally, it should be stated that the role of the characteristics, and also the m. Cthod of finite differences app...lied to them could bo used with reforcnce to the general case of the characteristic equaticriuS as embodied in tlac equations (. 3. 7) and (3. E) in essentially th^j same v;ay as was sketched out above for the system comprised of (3»5) and (3 •9) which referred to a special case. In particular, the role of the characteristics as curves along x-ihich small disturbances propagate, and their role in determining the domain of dependence, range of influence, etc. Remain the same . ^l'- j -■■ ; ■'!' Cj, \ 2k.
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