Comparison Of 1D Debris Flow Modelling
Approaches Using A High Resolution And
Non-oscillatory Numerical Scheme Based
On The Finite Volume Method
Author(s)
C. Rodríguez, A. Blanco & R. García
Abstract
The modelling of debris flow kinematics and mechanics is complex and involves
non-linearity at both levels. Until now, the preferred approach in numerical
modelling of debris flows is to solve the 1D equations with a Finite Difference
method. In order to improve the present debris flow models, we implement a
finite volume method stable for Courant numbers up to unity. Mass and
Momentum equations are computed using a Roe-type Riemann solver and the
MUSCL (Monotone Upwind Schema for Conservation Laws) approach is
applied to obtain second order spatial accuracy. Different resistance laws are
used for taking account the rheological behaviour of the fluid, considered as a
single phase or by a liquid-solid mixture.
The scheme is validated and applied to a debris flow event in Japan. The
results show important differences in precision when the proposed model is
compared with other numerical models, using the same resistance laws. Results
indicate that the Newtonian turbulent Voellmy fluid and Takahashi resistance
flow laws better reproduce the front propagation than other rheological models.
Keywords: debris flows, debris flow, finite volume method, resistance laws,
rheological behavior of mixtures.
Keywords
debris flows, debris flow, finite volume method, resistance laws,
rheological behavior of mixtures.
Related Book
Other papers in this volume
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