Abstract
An implicit method of characteristics (IMOC) is derived which has been proven to be unconditionally stable even for the case of a non-linearized hyperbolic system with general boundary conditions. It is shown that the application of the presented method to Saint-Venant equations allows the explicit determination of the slope of the characteristics without iteration and the elimination of one variable, thus reducing the number of equations to be solved by matrix inversion to a half. For the case of a special lateral in-(out-)-flow, an analytical solution for the Saint-Venant equations is generated. The comparison of analytical solution and numerical solution is executed under extreme conditions; the maximal value of PARTIAL Q/ PARTIAL t is about 100 times the rate of a flood wave. The Courant number used in the numerical example was greater than seven.
| Original language | English |
|---|---|
| Title of host publication | Unknown Host Publication Title |
| Publisher | Presses de l'Ecole Natl des Ponts et Chaussees |
| Pages | 475-490 |
| Number of pages | 16 |
| ISBN (Print) | 2859780467 |
| State | Published - 1982 |
| Externally published | Yes |