caa a22 4500 47581388X CHVBK 20180406123804.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1007/s000240050018 doi (NATIONALLICENCE)springer-10.1007/s000240050018 Analytical Solution for Testing Debris Avalanche Numerical Models [Elektronische Daten] [A. Mangeney, P. Heinrich, R. Roche] —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. Birkhäuser Verlag Basel,, 1999 Key Words: Analytical solution, shallow-water model, dam-break, debris avalanche nationallicence Mangeney A. Laboratoire de Détection et de Géophysique, CEA, Bruyères-le-Châtel, France. E-mail: anne.mangeney@ccr.jussieu.fr, FR aut Heinrich P. Laboratoire de Détection et de Géophysique, CEA, Bruyères-le-Châtel, France. E-mail: anne.mangeney@ccr.jussieu.fr, FR aut Roche R. Laboratoire de Détection et de Géophysique, CEA, Bruyères-le-Châtel, France. E-mail: anne.mangeney@ccr.jussieu.fr, FR aut https://doi.org/10.1007/s000240050018 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000240050018 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mangeney A. Laboratoire de Détection et de Géophysique, CEA, Bruyères-le-Châtel, France. E-mail: anne.mangeney@ccr.jussieu.fr, FR aut NATIONALLICENCE 700 1- Heinrich P. Laboratoire de Détection et de Géophysique, CEA, Bruyères-le-Châtel, France. E-mail: anne.mangeney@ccr.jussieu.fr, FR aut NATIONALLICENCE 700 1- Roche R. Laboratoire de Détection et de Géophysique, CEA, Bruyères-le-Châtel, France. E-mail: anne.mangeney@ccr.jussieu.fr, FR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer