Abstract
A hierarchical Korteweg-de Vries type evolution equation is used for modelling of wave propagation in dilatant granularmaterials. The model equation is integrated numerically under sech2-type initial conditions using the discrete Fourier transform based pseudospectral method. In our previous papers we have shown that depending on values of material parameters five different solution types can be detected. In all cases one component of the solution is a solitary wave or an ensemble of solitary waves (solitons) that can propagate at constatnt speed and amplitude and in cases of ensembles interact (almost) elastically. In the present paper additional numerical experiments for simulation of interactions between different soliton ensembles, single solitons and solitary waves are carried out and analysed.
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Salupere, A., Ilison, L. (2010). Numerical Simulation of Interaction of Solitons and Solitary Waves in Granular Materials. In: Ganghoffer, JF., Pastrone, F. (eds) Mechanics of Microstructured Solids 2. Lecture Notes in Applied and Computational Mechanics, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05171-5_3
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DOI: https://doi.org/10.1007/978-3-642-05171-5_3
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