NUMERICAL AND ANALYTICAL COMBINED MODELLING THE NON-STEADY DYNAMICS OF DEBRIS-LADEN FLASH FLOODS

Authors

  • А. Checheibaev Kyrgyz-German Institute of Applied Informatics Author

Keywords:

debris-laden flash floods, running waves, semi-similar solutions, numerical solutions, Runge-Kutta method

Abstract

Analytical and numerical analysis of the dynamics of the debris-laden flash floods’ is conducted based on the Iverson-Denlinger model. The governing system of equations has been simplified using running waves method and self-similar solutions method, the numerical solutions of the derived systems are obtained using Runge-Kutta method of fourth-order accuracy.

References

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2. Richard M. Iverson, Roger P. Denlinger. Mechanics of debris flows and debris laden flash floods // Proceedings of the Seventh Federal Interagency Sedimentation Conference, March 25 to 29, 2001, Reno, Nevada.

3. Полянин А.Д., Зайцев В.Ф., Журов А.И. Методы решения нелинейных уравнений математической физики и механики. – М.: Физматлит, 2005. – 256 с.

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Published

2026-03-19