Mathematical Modeling of an Avalanche Release and Estimation of Flow Parameters by Numerical Method
Authors: Mahmoud Zarrini
Avalanche release of snow has been modeled in the present studies. Snow is assumed to be represented by semi-solid and the governing equations have been studied from the concept of continuum approach. The dynamical equations have been solved for two different zones [starting zone and track zone] by using appropriate initial and boundary conditions. Effect of density (ρ), Eddy viscosity (η), Slope angle (θ), Slab depth (R) on the flow parameters have been observed in the present studies. Numerical methods have been employed for computing the non linear differential equations. One of the most interesting and fundamental innovation in the present studies is getting initial condition for the computation of velocity by numerical approach. This information of the velocity has obtained through the concept of fracture mechanics applicable to snow. The results on the flow parameters have found to be in qualitative agreement with the published results.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1074289Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1456
 I. Mears,Arthur, Guidlines and methods for detailed snow avalanche hazard investigations in Colorado. Colo.Geol.Surv.Bull, 1976.
 C. Sigrist, Measurement of fracture Mechanical Properties of Snow and applications to dry Snow Slab avalanche Release. Ph.D. Thesis, Swiss Federal Institute of Technology, Zurich, Switzerland, 2006.
 M. Mellor, Avalanches. Technical Report CRSE III-A3d, Cold Regions Research Engineering Laboratory, 1968.
 M. Zarrini and R.N. Pralhad, Modeling of snow drifts velocity in hilly terrain, . International Journal of Mathematical Science and Engineering Applications (IJMSEA),Volume I, No.1/2, 2008.
 J.B. Jamieson, Ph.D. Thesis. Calgary, Alberta, Canada, 1995.
 J. Schweizer, Review of Dry Snow Slab Avalanche Release. J. Cold Region Science and Technology, 30, 43-57, 1999.
 N.F. Mott, Fracture of Metals: Theoretical Considerations. J. Engineering, 165, pp.16-18, 1948.
 D.M. McClung, Derivation of Voellmy-s maximum speed and run-out estimates from a centre of mass model. Journal of Glaciology, 29(102), 1983.