International Conference «Mathematical and Informational Technologies, MIT-2013»
(X Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, September, 5–8, 2013

Budva, Montenegro, September, 9-14, 2013

Rychkov A.D.   Milosevic H.   Beisel S.  

Numerical simulation of tsunami runup using method of large particles

Reporter: Rychkov A.D.

In the frame of shallow water model the problem of solitary wave runup on the beach with a complex coastal edge with the friction force averaged over the depth of the wave is considered. The system of equations describing the motion of a wave is written in Cartesian coordinates, the area was the solution of a rectangle with a bottom profile, taken from the corresponding bathymetry. On the upper and lower boundaries of the wave wondered nonreflecting boundary conditions in the land all the parameters that describe the motion of the fluid were assumed to be zero. Entrance boundary through which the wave enters the region is supplied from a time-varying value of its depth, taken from an analysis of the approach to the coast of the ocean waves.
For the numerical solution of shallow water equations using the method of large particles. Use of the "classical" method of particles in cells was not possible due to the statistical nature of the resulting solutions with it. This solution does not satisfy the hydrostatic equilibrium in the stationary water, and significantly distorts the process of propagation. Method of large particles does not have this drawback and provides a balanced differential circuit. Testing was conducted on numerical methods "classical" problem of the flow around a conical island. The results are quite satisfactory coincided with experimental results and with the results of other authors.

Abstracts file: Тезисы 2013.docx
Full text file: RMB.pdf

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