1D Modeling of Mud/Debris Unsteady Flows

Jin, Ming; Fread, d D. L.

doi:10.1061/(asce)0733-9429(1999)125:8(827)

Cited by 41 publications

(32 citation statements)

References 12 publications

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“…A disadvantage of this approach is that it cannot reproduce the cessation of motion on gently sloping surfaces. Nevertheless, Costa (1997) and Jin and Fread (1999) showed that the flow depth and the velocity of debris flows, can be simulated reasonably well within the channel, after calibration of appropriate pseudo Manning n values. For many natural debris flows both mean grain size and solid concentration tend to decrease upstream of the front, suggesting that the flow may become either turbulent or viscous upstream of the front.…”

Section: H Coulomb Viscousmentioning

confidence: 96%

“…Jin and Fread, 1999;Hungr, 1995;Fraccarollo and Papa, 2000;Laigle and Coussot, 1997). In this work the continuity and momentum equations are written in the conservative form:…”

Section: Governing Equationsmentioning

confidence: 99%

“…The turbulent flow regime is a third basic regime for debris flows for cases where turbulent stresses dominate the flow behavior (Takahashi, 2000). Successful applications of the Manning-Strickler turbulent resistance relation include debris-flow simulations by Jin and Fread (1999) and Rickenmann and Koch (1997). A disadvantage of this approach is that it cannot reproduce the cessation of motion on gently sloping surfaces.…”

Section: H Coulomb Viscousmentioning

confidence: 99%

“…Additive combinations of the three basic flow regimes have also been proposed, for example Julien and Lan (1991) account for dispersive and turbulent stress with a lumped coefficient and combine it with a Bingham approach. The Bingham model has also been extended in other studies by the addition of a flow resistance term to account for channel roughness and turbulence (Han and Wang, 1996;Jin and Fread, 1999). The commercially available two-dimensional flood and mudflow simulation program, FLO-2D (O'Brien et al, 1993) is based on the so-called "quadratic" rheologic approach proposed by Julien and Lan (1991), combining yield, viscous, collision, and turbulent stress components.…”

Section: H Coulomb Viscousmentioning

confidence: 99%

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Comparison of flow resistance relations for debris flows using a one-dimensional finite element simulation model

Naef

Rickenmann

Rutschmann

et al. 2006

Nat. Hazards Earth Syst. Sci.

143

108

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Abstract. This paper describes a one-dimensional finite element code for debris flows developed to model the flow within a steep channel and the stopping conditions on the fan. The code allows the systematic comparison of a wide variety of previously proposed one-phase flow resistance laws using the same finite element solution method. The onedimensional depth-averaged equations of motion and the numerical model are explained. The model and implementation of the flow resistance relations was validated using published analytical results for the dam break case. Reasonable agreement for the front velocities and stopping location for a debris-flow event in the Kamikamihori torrent in Japan can be achieved with turbulent flow resistance relations including "stop" terms which allow the flow to come to rest on a gently sloping surface. While it is possible to match the overall bulk flow behavior using relatively simple flow resistance relations, they must be calibrated. A sensitivity analysis showed that the shape of the upstream input hydrograph does not much affect the flow conditions in the lower part of the flow path, whereas the event volume is much more important.

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Section: H Coulomb Viscousmentioning

confidence: 96%

“…Jin and Fread, 1999;Hungr, 1995;Fraccarollo and Papa, 2000;Laigle and Coussot, 1997). In this work the continuity and momentum equations are written in the conservative form:…”

Section: Governing Equationsmentioning

confidence: 99%

Section: H Coulomb Viscousmentioning

confidence: 99%

Section: H Coulomb Viscousmentioning

confidence: 99%

See 2 more Smart Citations

Comparison of flow resistance relations for debris flows using a one-dimensional finite element simulation model

Naef

Rickenmann

Rutschmann

et al. 2006

Nat. Hazards Earth Syst. Sci.

143

108

View full text Add to dashboard Cite

show abstract

“…In these conditions the total stress on the bed would be equal to the hydrostatic stresses plus the static/dispersive stresses due to contacts/collisions among particles. In these conditions the term (∂p bed /∂x) (Iverson, 1997(Iverson, , 2000Jin and Fread, 1999) tends to be equal to zero and the pore pressure distribution tends to be hydrostatic. A hydrostatic distribution of the pore pressure is a basic assumption of many rheological models (Takahashi, 1991;Egashira et al, 1997) that imply resistance to flow formulas similar to Eq.…”

Section: The Mathematical Modelmentioning

confidence: 99%

Influence of rheology on debris-flow simulation

Arattano

Franzi

Marchi

2006

Nat. Hazards Earth Syst. Sci.

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Abstract. Systems of partial differential equations that include the momentum and the mass conservation equations are commonly used for the simulation of debris flow initiation, propagation and deposition both in field and in laboratory research. The numerical solution of the partial differential equations can be very complicated and consequently many approximations that neglect some of their terms have been proposed in literature. Many numerical methods have been also developed to solve the equations. However we show in this paper that the choice of a reliable rheological model can be more important than the choice of the best approximation or the best numerical method to employ. A simulation of a debris flow event that occurred in 2004 in an experimental basin on the Italian Alps has been carried out to investigate this issue. The simulated results have been compared with the hydrographs recorded during the event. The rheological parameters that have been obtained through the calibration of the mathematical model have been also compared with the rheological parameters obtained through the calibration of previous events, occurred in the same basin. The simulation results show that the influence of the inertial terms of the Saint-Venant equation is much more negligible than the influence of the rheological parameters and the geometry. A methodology to quantify this influence has been proposed.

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A Godunov method for the computation of erosional shallow water transients

Fraccarollo

Capart²,

Zech

2003

Numerical Methods in Fluids

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SUMMARYA Godunov method is proposed for the computation of open-channel ows in conditions of rapid bed erosion and intense sediment transport. Generalized shallow water equations govern the evolution of three distinct interfaces: the water free-surface, the boundary between pure water and a sediment transport layer, and the morphodynamic bottom proÿle. Based on the HLL scheme of Harten, Lax and Van Leer (1983), a ÿnite volume numerical solver is constructed, then extended to second-order accuracy using Strang splitting and MUSCL extrapolation. Lateralisation of the momentum ux is adopted to handle the non-conservative product associated with bottom slope. Computational results for erosional dam-break waves are compared with experimental measurements and semi-analytical Riemann solutions.

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1D Modeling of Mud/Debris Unsteady Flows

Cited by 41 publications

References 12 publications

Comparison of flow resistance relations for debris flows using a one-dimensional finite element simulation model

Comparison of flow resistance relations for debris flows using a one-dimensional finite element simulation model

Influence of rheology on debris-flow simulation

A Godunov method for the computation of erosional shallow water transients

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