Resumen de Debris flows and general steep slope shallow water flows numerical simulation
The main target of this research is to develop a numerical model for debris flow simulations. As it's known, in general, this kind of flows occur in steeped mountain areas. When dealing with the complete equations system that models the phenomenon this singular characteristic has not special effect. But to simulate large events (typical scales in real world) is not possible to use the complete equations (three dimensional, variable density, non-hydrostatic.
. . ) so several simplifications should be carried out to reduce the complexity of the system, along the present text previous works references are introduced to justify the selected hypothesis.
During the mathematical manipulation of the equations, performed in order to apply he simplifying hypothesis, the real complexity of the problem emerges, important consequences on the coordinate system appear. This means that, to obtain a simpler version of the physical model of the phenomenon, complex mathematical operations are needed.
In the approach presented in this work the complexity of the problem is reduced in two manners: a) Applying direct physical hypothesis.
b) Applying mathematical hypothesis.
An example of these physical simplifications could be the monophasic fluid hypothesis, and an example of the mathematical simplifications could be the fact of the curvature terms neglecting. In this work the coordinate system selected for the model is called Proposed Coordinates System (PCS), a lot of different alternatives exist in the scientific literature, and some of them are commented and analyzed.
Along the development of the model different problems appear and different strategies and methodologies are developed in order to overcome them.
Examples of these secondary problems are the stop & go mechanism and the boundary conditions.
The general family of the numerical methods selected to solve the resulting system is the Finite Volume Method (FVM) using the Riemann solver. This approach has a wide diffusion in the debris flow simulation framework, so its selection is justified.
To validate the code analytical, experimental and real test cases are selected.
