Debris Flows at the Interface Between Fixed and Mobile Bed Conditions: The Development of a “Composite” Riemann Problem and a Possible Approximated Solver

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Debris Flows at the Interface Between Fixed and Mobile Bed Conditions: The Development of a “Composite” Riemann Problem and a Possible Approximated Solver

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Author(s): Daniel Zugliani; Giorgio Rosatti

Linked Author(s): Daniel Zugliani, Giorgio Rosatti

Keywords: Roe solver; Composite Riemann problem; Fixed bed; Mobile bed; Erodibility

Abstract: The transition from a mobile-bed free-surface debris flow to a fixed-bed one (and vice-versa) commonly occurs at a sharp interface across which the relevant system of equations changes abruptly. This leads to the possibility of defining a new Riemann Problem (RP) called Composite Riemann Problem (CRP), where not only the initial constant values of the variables change from left to right, but also the relevant system of equations. Here we present a strategy for solving the CRP problem both from a theoretical and from a numerical point of view.

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Year: 2014