Analytical Solution for Testing Debris Avalanche Numerical Models |
| |
Authors: | A. Mangeney P. Heinrich R. Roche |
| |
Affiliation: | Laboratoire de Détection et de Géophysique, CEA, Bruyères-le-Chatel, France. E-mail: anne.mangeney@ccr.jussieu.fr, FR
|
| |
Abstract: | —We present here the analytical solution of a one-dimensional dam-break problem over inclined planes. This solution is used to test a numerical model developed for debris avalanches. We consider a dam with infinite length in one direction where material is released from rest at the initial instant. We solve analytically and numerically the depth-averaged long-wave equations derived in a topography-linked coordinate system. The numerical and analytical solutions provide for a Coulomb-type friction law at the base of the flow. The analytical solution is obtained by using the method of characteristics and describes the flow over a constant slope, provided that the angle is higher than the friction angle. The numerical model utilizes a finite-difference method based on a Godunov-type scheme. Comparison between analytical and numerical results illustrates the remarkable stability and precision of the numerical method as well as its ability to deal with strong discontinuities. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |