avalanche.f
swMATH ID: | 13859 |
Software Authors: | Koch, Othmar; Weinmüller, Ewa |
Description: | Analytical and numerical treatment of a singular initial value problem in avalanche modeling. We discuss a leading-edge model used in the computation of the run-out length of dry-flowing avalanches. The model has the form of a singular initial value problem for a scalar ordinary differential equation describing the avalanche dynamics. Existence, uniqueness and smoothness properties of the analytical solution are shown. We also prove the existence of a unique root of the solution. Moreover, we present a FORTRAN 90 code for the numerical computation of the run-out length. The code is based on a solver for singular initial value problems which is an implementation of the acceleration technique known as iterated defect correction based on the implicit Euler method. |
Homepage: | http://www.asc.tuwien.ac.at/~ewa/ |
Keywords: | Singular initial value problem; Existence of solution; Numerical solution; Implicit; Euler method; Iterated defect correction; Leading-edge model; Avalanche run-out |
Related Software: | bvpsuite; Sbvp; COLSYS; bvp4c; Matlab; COLNEW; RODAS; RADAU; RWPM |
Cited in: | 22 Documents |
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH | Year |
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Analytical and numerical treatment of a singular initial value problem in avalanche modeling. Zbl 1089.34004 Koch, Othmar; Weinmüller, Ewa |
2004
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Cited by 31 Authors
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Cited in 13 Serials
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